137664189000000
137,664,189,000,000 is an even composite number composed of six prime numbers multiplied together.
What does the number 137664189000000 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 1764 divisors.
137664189000000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, seven hundred sixty-four divisors.
Prime factorization of 137664189000000:
26 × 32 × 56 × 132 × 29 × 3121
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 5 × 5 × 5 × 5 × 13 × 13 × 29 × 3121)See below for interesting mathematical facts about the number 137664189000000 from the Numbermatics database.
Names of 137664189000000
- Cardinal: 137664189000000 can be written as One hundred thirty-seven trillion, six hundred sixty-four billion, one hundred eighty-nine million.
Scientific notation
- Scientific notation: 1.37664189 × 1014
Factors of 137664189000000
Divisors of 137664189000000
- Number of divisors d(n): 1764
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 13 15 16 18 20 24 25 26 29 30 32 36 39 40 45 48 50 52 58 60 64 65 72 75 78 80 87 90 96 100 104 116 117 120 125 130 144 145 150 156 160 169 174 180 192 195 200 208 225 232 234 240 250 260 261 288 290 300 312 320 325 338 348 360 375 377 390 400 416 435 450 464 468 480 500 507 520 522 576 580 585 600 624 625 650 676 696 720 725 750 754 780 800 832 845 870 900 928 936 960 975 1000 1014 1040 1044 1125 1131 1160 1170 1200 1248 1250 1300 1305 1352 1392 1440 1450 1500 1508 1521 1560 1600 1625 1690 1740 1800 1856 1872 1875 1885 1950 2000 2028 2080 2088 2175 2250 2262 2320 2340 2400 2496 2500 2535 2600 2610 2704 2784 2880 2900 2925 3000 3016 3042 3120 3121 3125 3250 3380 3393 3480 3600 3625 3744 3750 3770 3900 4000 4056 4160 4176 4225 4350 4500 4524 4640 4680 4800 4875 4901 5000 5070 5200 5220 5408 5568 5625 5655 5800 5850 6000 6032 6084 6240 6242 6250 6500 6525 6760 6786 6960 7200 7250 7488 7500 7540 7605 7800 8000 8112 8125 8352 8450 8700 9000 9048 9280 9360 9363 9375 9425 9750 9802 10000 10140 10400 10440 10816 10875 11250 11310 11600 11700 12000 12064 12168 12480 12484 12500 12675 13000 13050 13520 13572 13920 14400 14500 14625 14703 15000 15080 15210 15600 15605 15625 16224 16250 16704 16900 16965 17400 18000 18096 18125 18720 18726 18750 18850 19500 19604 20000 20280 20800 20880 21125 21750 22500 22620 23200 23400 24000 24128 24336 24375 24505 24968 25000 25350 26000 26100 27040 27144 27840 28089 28125 28275 29000 29250 29406 30000 30160 30420 31200 31210 31250 32448 32500 32625 33800 33930 34800 36000 36192 36250 37440 37452 37500 37700 38025 39000 39208 40000 40560 40573 40625 41760 42250 43500 44109 45000 45240 46400 46800 46815 46875 47125 48672 48750 49010 49936 50000 50700 52000 52200 54080 54288 54375 56178 56250 56550 58000 58500 58812 60000 60320 60840 62400 62420 62500 63375 65000 65250 67600 67860 69600 72000 72384 72500 73125 73515 74904 75000 75400 76050 78000 78025 78416 81120 81146 81250 83520 84500 84825 87000 88218 90000 90480 90509 90625 93600 93630 93750 94250 97344 97500 98020 99872 100000 101400 104000 104400 105625 108576 108750 112356 112500 113100 116000 117000 117624 120000 120640 121680 121719 121875 122525 124840 125000 126750 130000 130500 135200 135720 139200 140445 140625 141375 145000 146250 147030 149808 150000 150800 152100 156000 156050 156832 162240 162292 162500 163125 169000 169650 174000 176436 180000 180960 181018 181250 187200 187260 187500 188500 190125 195000 196040 199744 200000 202800 202865 203125 208800 211250 217152 217500 220545 224712 225000 226200 232000 234000 234075 235248 235625 243360 243438 243750 245050 249680 250000 253500 260000 261000 270400 271440 271527 271875 280890 281250 282750 290000 292500 294060 299616 300000 301600 304200 312000 312100 313664 316875 324584 325000 326250 338000 339300 348000 352872 360000 361920 362036 362500 365157 365625 367575 374520 375000 377000 380250 390000 390125 392080 405600 405730 406250 417600 422500 424125 435000 441090 449424 450000 452400 452545 453125 468000 468150 470496 471250 486720 486876 487500 490100 499360 500000 507000 520000 522000 527449 528125 542880 543054 543750 561780 562500 565500 580000 585000 588120 599232 600000 603200 608400 608595 609375 612625 624200 633750 649168 650000 652500 676000 678600 696000 702225 705744 706875 724072 725000 730314 731250 735150 749040 750000 754000 760500 780000 780250 784160 811200 811460 812500 814581 815625 845000 848250 870000 882180 898848 900000 904800 905090 906250 936000 936300 940992 942500 950625 973752 975000 980200 998720 1000000 1014000 1014325 1044000 1054898 1056250 1085760 1086108 1087500 1102725 1123560 1125000 1131000 1160000 1170000 1170375 1176240 1176617 1178125 1216800 1217190 1218750 1225250 1248400 1267500 1298336 1300000 1305000 1352000 1357200 1357635 1359375 1404450 1411488 1413750 1448144 1450000 1460628 1462500 1470300 1498080 1500000 1508000 1521000 1560000 1560500 1568320 1582347 1584375 1622920 1625000 1629162 1631250 1690000 1696500 1740000 1764360 1797696 1800000 1809600 1810180 1812500 1825785 1828125 1837875 1872600 1885000 1901250 1947504 1950000 1950625 1960400 2028000 2028650 2088000 2109796 2112500 2120625 2172216 2175000 2205450 2247120 2250000 2262000 2262725 2340000 2340750 2352480 2353234 2356250 2433600 2434380 2437500 2450500 2496800 2535000 2596672 2600000 2610000 2637245 2640625 2714400 2715270 2718750 2808900 2822976 2827500 2896288 2900000 2921256 2925000 2940600 2996160 3000000 3016000 3042000 3042975 3063125 3121000 3164694 3168750 3245840 3250000 3258324 3262500 3380000 3393000 3480000 3511125 3528720 3529851 3534375 3620360 3625000 3651570 3656250 3675750 3745200 3770000 3802500 3895008 3900000 3901250 3920800 4056000 4057300 4072905 4078125 4219592 4225000 4241250 4344432 4350000 4410900 4494240 4500000 4524000 4525450 4680000 4681500 4704960 4706468 4712500 4747041 4753125 4868760 4875000 4901000 4993600 5070000 5071625 5220000 5274490 5281250 5428800 5430540 5437500 5513625 5617800 5655000 5792576 5800000 5842512 5850000 5851875 5881200 5883085 5890625 6084000 6085950 6126250 6242000 6329388 6337500 6491680 6500000 6516648 6525000 6760000 6786000 6788175 7022250 7057440 7059702 7068750 7240720 7250000 7303140 7312500 7351500 7490400 7540000 7605000 7790016 7800000 7802500 7841600 7911735 7921875 8114600 8145810 8156250 8439184 8450000 8482500 8688864 8700000 8821800 8988480 9000000 9048000 9050900 9128925 9189375 9363000 9412936 9425000 9494082 9506250 9737520 9750000 9753125 9802000 10140000 10143250 10440000 10548980 10562500 10589553 10603125 10861080 10875000 11027250 11235600 11310000 11313625 11685024 11700000 11703750 11762400 11766170 11781250 12168000 12171900 12252500 12484000 12658776 12675000 12983360 13000000 13033296 13050000 13186225 13572000 13576350 14044500 14114880 14119404 14137500 14481440 14500000 14606280 14625000 14703000 14980800 15080000 15210000 15214875 15296021 15315625 15605000 15823470 15843750 16229200 16291620 16312500 16878368 16900000 16965000 17377728 17400000 17555625 17643600 17649255 17671875 18101800 18257850 18378750 18726000 18825872 18850000 18988164 19012500 19475040 19500000 19506250 19604000 20280000 20286500 20364525 21097960 21125000 21179106 21206250 21722160 21750000 22054500 22471200 22620000 22627250 23370048 23400000 23407500 23524800 23532340 23562500 23735205 23765625 24343800 24505000 24968000 25317552 25350000 25358125 26066592 26100000 26372450 27144000 27152700 27568125 28089000 28238808 28275000 28962880 29000000 29212560 29250000 29259375 29406000 29415425 30420000 30429750 30592042 30631250 31210000 31646940 31687500 32458400 32583240 32625000 33756736 33800000 33930000 33940875 35111250 35287200 35298510 35343750 36203600 36515700 36757500 37452000 37651744 37700000 37976328 38025000 38950080 39000000 39012500 39208000 39558675 40573000 40729050 42195920 42250000 42358212 42412500 43444320 43500000 44109000 44942400 45240000 45254500 45644625 45888063 45946875 46815000 47064680 47125000 47470410 47531250 48687600 48765625 49010000 50635104 50700000 50716250 52133184 52200000 52744900 52947765 53015625 54305400 55136250 56178000 56477616 56550000 56568125 58425120 58500000 58518750 58812000 58830850 60840000 60859500 61184084 61262500 62420000 63293880 63375000 64916800 65166480 65250000 65931125 67860000 67881750 70222500 70574400 70597020 70687500 72407200 73031400 73515000 74904000 75303488 75400000 75952656 76050000 76074375 76480105 76578125 78025000 79117350 81146000 81458100 84391840 84500000 84716424 84825000 86888640 87000000 87778125 88218000 88246275 90509000 91289250 91776126 91893750 93630000 94129360 94250000 94940820 95062500 97375200 97531250 98020000 101270208 101400000 101432500 101822625 105489800 105895530 106031250 108610800 110272500 112356000 112955232 113100000 113136250 116850240 117000000 117037500 117624000 117661700 118676025 121719000 122368168 122525000 124840000 126587760 126750000 126790625 130332960 130500000 131862250 135720000 135763500 137664189 137840625 140445000 141194040 141375000 144814400 146062800 146296875 147030000 147077125 151905312 152100000 152148750 152960210 153156250 156050000 158234700 162292000 162916200 168783680 169000000 169432848 169650000 169704375 175556250 176436000 176492550 181018000 182578500 183552252 183787500 187260000 188258720 188500000 189881640 190125000 194750400 195062500 196040000 197793375 202865000 203645250 210979600 211791060 212062500 217221600 220545000 224712000 225910464 226200000 226272500 228223125 229440315 229734375 234075000 235323400 237352050 243438000 244736336 245050000 253175520 253500000 253581250 260665920 261000000 263724500 264738825 271527000 275328378 275681250 280890000 282388080 282750000 282840625 292125600 292593750 294060000 294154250 303810624 304200000 304297500 305920420 306312500 312100000 316469400 324584000 325832400 329655625 338865696 339300000 339408750 351112500 352872000 352985100 362036000 365157000 367104504 367575000 374520000 376517440 377000000 379763280 380250000 380371875 382400525 390125000 395586750 405730000 407290500 421959200 423582120 424125000 434443200 438890625 441090000 441231375 452545000 456446250 458880630 459468750 468150000 470646800 474704100 486876000 489472672 490100000 506351040 507000000 507162500 509113125 527449000 529477650 543054000 550656756 551362500 561780000 564776160 565500000 565681250 584251200 585187500 588120000 588308500 593380125 608595000 611840840 612625000 624200000 632938800 633953125 651664800 659311250 677731392 678600000 678817500 688320945 689203125 702225000 705970200 724072000 730314000 734209008 735150000 735385625 759526560 760500000 760743750 764801050 780250000 791173500 811460000 814581000 843918400 847164240 848250000 848521875 877781250 882180000 882462750 905090000 912892500 917761260 918937500 936300000 941293600 949408200 973752000 978945344 980200000 988966875 1014325000 1018226250 1054898000 1058955300 1086108000 1101313512 1102725000 1123560000 1129552320 1131000000 1131362500 1141115625 1147201575 1170375000 1176617000 1186760250 1217190000 1223681680 1225250000 1265877600 1267906250 1303329600 1318622500 1323694125 1357635000 1376641890 1378406250 1404450000 1411940400 1414203125 1460628000 1468418016 1470300000 1470771250 1519053120 1521000000 1521487500 1529602100 1560500000 1582347000 1622920000 1629162000 1648278125 1694328480 1696500000 1697043750 1755562500 1764360000 1764925500 1810180000 1825785000 1835522520 1837875000 1872600000 1882587200 1898816400 1901859375 1912002625 1977933750 2028650000 2036452500 2109796000 2117910600 2172216000 2202627024 2205450000 2206156875 2262725000 2282231250 2294403150 2340750000 2353234000 2373520500 2434380000 2447363360 2450500000 2531755200 2535812500 2545565625 2637245000 2647388250 2715270000 2753283780 2756812500 2808900000 2823880800 2828406250 2921256000 2936836032 2940600000 2941542500 2966900625 3042975000 3059204200 3121000000 3164694000 3258324000 3296556250 3388656960 3393000000 3394087500 3441604725 3511125000 3529851000 3620360000 3651570000 3671045040 3675750000 3676928125 3797632800 3803718750 3824005250 3955867500 4057300000 4072905000 4219592000 4235821200 4242609375 4405254048 4410900000 4412313750 4525450000 4564462500 4588806300 4681500000 4706468000 4747041000 4868760000 4894726720 4901000000 4944834375 5071625000 5091131250 5274490000 5294776500 5430540000 5506567560 5513625000 5617800000 5647761600 5656812500 5705578125 5736007875 5883085000 5933801250 6085950000 6118408400 6329388000 6516648000 6593112500 6618470625 6788175000 6883209450 7022250000 7059702000 7303140000 7342090080 7351500000 7353856250 7595265600 7607437500 7648010500 7911735000 8114600000 8145810000 8241390625 8471642400 8485218750 8810508096 8821800000 8824627500 9050900000 9128925000 9177612600 9363000000 9412936000 9494082000 9560013125 9889668750 10143250000 10182262500 10548980000 10589553000 10861080000 11013135120 11027250000 11030784375 11313625000 11411156250 11472015750 11766170000 11867602500 12171900000 12236816800 12658776000 12727828125 13186225000 13236941250 13576350000 13766418900 14044500000 14119404000 14606280000 14684180160 14703000000 14707712500 14834503125 15214875000 15296021000 15823470000 16291620000 16482781250 16943284800 16970437500 17208023625 17649255000 18101800000 18257850000 18355225200 18384640625 18988164000 19120026250 19779337500 20286500000 20364525000 21097960000 21179106000 22026270240 22054500000 22061568750 22627250000 22822312500 22944031500 23532340000 23735205000 24343800000 24473633600 24724171875 25455656250 26372450000 26473882500 27152700000 27532837800 28089000000 28238808000 28680039375 29415425000 29669006250 30429750000 30592042000 31646940000 32583240000 32965562500 33092353125 33940875000 34416047250 35298510000 36515700000 36710450400 36769281250 37976328000 38240052500 39558675000 40573000000 40729050000 42358212000 44052540480 44109000000 44123137500 45254500000 45644625000 45888063000 47064680000 47470410000 47800065625 49448343750 50911312500 52744900000 52947765000 54305400000 55065675600 55153921875 57360078750 58830850000 59338012500 60859500000 61184084000 63293880000 65931125000 66184706250 67881750000 68832094500 70597020000 73031400000 73420900800 73538562500 74172515625 76480105000 79117350000 81458100000 84716424000 86040118125 88246275000 90509000000 91289250000 91776126000 94940820000 95600131250 98896687500 101822625000 105489800000 105895530000 110131351200 110307843750 114720157500 117661700000 118676025000 121719000000 122368168000 131862250000 132369412500 135763500000 137664189000 141194040000 143400196875 147077125000 148345031250 152960210000 158234700000 162916200000 165461765625 172080236250 176492550000 182578500000 183552252000 189881640000 191200262500 197793375000 203645250000 211791060000 220262702400 220615687500 229440315000 235323400000 237352050000 239000328125 263724500000 264738825000 271527000000 275328378000 286800393750 294154250000 296690062500 305920420000 316469400000 330923531250 344160472500 352985100000 365157000000 367104504000 382400525000 395586750000 407290500000 423582120000 430200590625 441231375000 458880630000 474704100000 478000656250 527449000000 529477650000 550656756000 573600787500 588308500000 593380125000 611840840000 661847062500 688320945000 705970200000 717000984375 764801050000 791173500000 814581000000 860401181250 882462750000 917761260000 949408200000 956001312500 1058955300000 1101313512000 1147201575000 1176617000000 1186760250000 1323694125000 1376641890000 1434001968750 1529602100000 1582347000000 1720802362500 1764925500000 1835522520000 1912002625000 2117910600000 2151002953125 2294403150000 2373520500000 2647388250000 2753283780000 2868003937500 3059204200000 3441604725000 3529851000000 3824005250000 4302005906250 4588806300000 4747041000000 5294776500000 5506567560000 5736007875000 6883209450000 7648010500000 8604011812500 9177612600000 10589553000000 11472015750000 13766418900000 15296021000000 17208023625000 22944031500000 27532837800000 34416047250000 45888063000000 68832094500000 137664189000000
- Sum of all divisors σ(n): 552683878290180
- Sum of proper divisors (its aliquot sum) s(n): 415019689290180
- 137664189000000 is an abundant number, because the sum of its proper divisors (415019689290180) is greater than itself. Its abundance is 277355500290180
Bases of 137664189000000
- Binary: 111110100110100011100010001010101101001010000002
- Hexadecimal: 0x7D3471156940
- Base-36: 1CSQ1ZQVK0
Squares and roots of 137664189000000
- 137664189000000 squared (1376641890000002) is 18951428933027721000000000000
- 137664189000000 cubed (1376641890000003) is 2608933094456396525983269000000000000000000
-
The
square root of 137664189000000 is 11733038.3532996261 -
The
cube root of 137664189000000 is 51634.5417270251
Scales and comparisons
How big is 137664189000000?- 137,664,189,000,000 seconds is equal to 4,377,295 years, 20 weeks, 20 hours.
-
To count from 1 to 137,664,189,000,000 would take you about ten million, nine hundred forty-three thousand, two hundred thirty-eight years!
This is a very rough estimate, based on a speaking rate of half a second every third order of magnitude. If you speak quickly, you could probably say any randomly-chosen number between one and a thousand in around half a second. Very big numbers obviously take longer to say, so we add half a second for every extra x1000. (We do not count involuntary pauses, bathroom breaks or the necessity of sleep in our calculation!)
- A cube with a volume of 137664189000000 cubic inches would be around 4302.9 feet tall.
Recreational maths with 137664189000000
- 137664189000000 backwards is 000000981466731
- 137664189000000 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 137664189000000's digits is 45
- More coming soon!
Link to this page
HTML: To link to this page, just copy and paste the link below into your blog, web page or email.
BBCODE: To link to this page in a forum post or comment box, just copy and paste the link code below:
Cite this page
MLA style:
"Number 137664189000000 - Facts about the integer". Numbermatics.com. 2024. Web. 9 June 2024.
APA style:
Numbermatics. (2024). Number 137664189000000 - Facts about the integer. Retrieved 9 June 2024, from https://numbermatics.com/n/137664189000000/
Chicago style:
Numbermatics. 2024. "Number 137664189000000 - Facts about the integer". https://numbermatics.com/n/137664189000000/
The information we have on file for 137664189000000 includes mathematical data and numerical statistics calculated using standard algorithms and methods. We are adding more all the time. If there are any features you would like to see, please contact us. Information provided for educational use, intellectual curiosity and fun!
Keywords: Divisors of 137664189000000, math, Factors of 137664189000000, curriculum, school, college, exams, university, Prime factorization of 137664189000000, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-seven trillion, six hundred sixty-four billion, one hundred eighty-nine million.