137812320000
137,812,320,000 is an even composite number composed of six prime numbers multiplied together.
What does the number 137812320000 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 1440 divisors.
137812320000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, four hundred forty divisors.
Prime factorization of 137812320000:
28 × 33 × 54 × 19 × 23 × 73
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 5 × 5 × 5 × 19 × 23 × 73)See below for interesting mathematical facts about the number 137812320000 from the Numbermatics database.
Names of 137812320000
- Cardinal: 137812320000 can be written as One hundred thirty-seven billion, eight hundred twelve million, three hundred twenty thousand.
Scientific notation
- Scientific notation: 1.3781232 × 1011
Factors of 137812320000
Divisors of 137812320000
- Number of divisors d(n): 1440
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 18 19 20 23 24 25 27 30 32 36 38 40 45 46 48 50 54 57 60 64 69 72 73 75 76 80 90 92 95 96 100 108 114 115 120 125 128 135 138 144 146 150 152 160 171 180 184 190 192 200 207 216 219 225 228 230 240 250 256 270 276 285 288 292 300 304 320 342 345 360 365 368 375 380 384 400 414 432 437 438 450 456 460 475 480 500 513 540 552 570 575 576 584 600 608 621 625 640 657 675 684 690 720 730 736 750 760 768 800 828 855 864 874 876 900 912 920 950 960 1000 1026 1035 1080 1095 1104 1125 1140 1150 1152 1168 1200 1216 1242 1250 1280 1311 1314 1350 1368 1380 1387 1425 1440 1460 1472 1500 1520 1600 1656 1679 1710 1725 1728 1748 1752 1800 1824 1825 1840 1875 1900 1920 1971 2000 2052 2070 2160 2185 2190 2208 2250 2280 2300 2304 2336 2375 2400 2432 2484 2500 2565 2622 2628 2700 2736 2760 2774 2850 2875 2880 2920 2944 3000 3040 3105 3200 3285 3312 3358 3375 3420 3450 3456 3496 3504 3600 3648 3650 3680 3750 3800 3840 3933 3942 4000 4104 4140 4161 4275 4320 4370 4380 4416 4500 4560 4600 4672 4750 4800 4864 4968 5000 5037 5130 5175 5244 5256 5400 5472 5475 5520 5548 5625 5700 5750 5760 5840 5888 6000 6080 6210 6400 6555 6570 6624 6716 6750 6840 6900 6912 6935 6992 7008 7125 7200 7296 7300 7360 7500 7600 7866 7884 8000 8208 8280 8322 8395 8550 8625 8640 8740 8760 8832 9000 9120 9125 9200 9344 9500 9600 9855 9936 10000 10074 10260 10350 10488 10512 10800 10925 10944 10950 11040 11096 11250 11400 11500 11520 11680 11799 11875 12000 12160 12420 12483 12825 13110 13140 13248 13432 13500 13680 13800 13870 13984 14016 14250 14375 14400 14592 14600 14720 15000 15111 15200 15525 15732 15768 16000 16416 16425 16560 16644 16790 16875 17100 17250 17280 17480 17520 17664 18000 18240 18250 18400 18688 19000 19200 19665 19710 19872 20000 20148 20520 20700 20805 20976 21024 21375 21600 21850 21888 21900 22080 22192 22500 22800 23000 23360 23598 23750 24000 24320 24840 24966 25185 25650 25875 26220 26280 26496 26864 27000 27360 27375 27600 27740 27968 28032 28500 28750 28800 29200 29440 30000 30222 30400 31050 31464 31536 31901 32000 32775 32832 32850 33120 33288 33580 33750 34200 34500 34560 34675 34960 35040 35625 36000 36480 36500 36800 37449 38000 39330 39420 39744 40000 40296 41040 41400 41610 41952 41975 42048 42750 43125 43200 43700 43776 43800 44160 44384 45000 45333 45600 45625 46000 46720 47196 47500 48000 49275 49680 49932 50370 51300 51750 52440 52560 52992 53728 54000 54625 54720 54750 55200 55480 55936 56064 57000 57500 57600 58400 58995 60000 60444 60800 62100 62415 62928 63072 63802 64125 65550 65664 65700 66240 66576 67160 67500 68400 69000 69350 69920 70080 71250 72000 72960 73000 73600 74898 75555 76000 77625 78660 78840 79488 80000 80592 82080 82125 82800 83220 83904 83950 84096 85500 86250 86400 87400 87600 88320 88768 90000 90666 91200 91250 92000 93440 94392 95000 95703 96000 98325 98550 99360 99864 100740 102600 103500 104025 104880 105120 106875 107456 108000 109250 109440 109500 110400 110960 111872 114000 115000 116800 117990 120000 120888 121600 124200 124830 125856 125925 126144 127604 128250 129375 131100 131328 131400 132480 133152 134320 135000 136800 136875 138000 138700 139840 140160 142500 144000 146000 147200 149796 151110 152000 155250 157320 157680 158976 159505 160000 161184 163875 164160 164250 165600 166440 167808 167900 168192 171000 172500 172800 173375 174800 175200 177536 180000 181332 182400 182500 184000 187245 188784 190000 191406 196650 197100 198720 199728 201480 205200 207000 208050 209760 209875 210240 213750 214912 216000 218500 218880 219000 220800 221920 226665 228000 230000 233600 235980 240000 241776 246375 248400 249660 251712 251850 252288 255208 256500 258750 262200 262800 264960 266304 268640 270000 273125 273600 273750 276000 277400 279680 280320 285000 287109 288000 292000 294975 299592 302220 304000 310500 312075 314640 315360 319010 320625 322368 327750 328320 328500 331200 332880 335616 335800 342000 345000 346750 349600 350400 355072 360000 362664 364800 365000 368000 374490 377568 377775 380000 382812 388125 393300 394200 397440 399456 402960 410400 410625 414000 416100 419520 419750 420480 427500 429824 432000 437000 438000 441600 443840 453330 456000 460000 467200 471960 478515 480000 483552 491625 492750 496800 499320 503424 503700 504576 510416 513000 517500 520125 524400 525600 532608 537280 540000 546250 547200 547500 552000 554800 559360 570000 574218 584000 589950 599184 604440 608000 621000 624150 629280 629625 630720 638020 641250 644736 655500 656640 657000 662400 665760 671600 684000 690000 693500 699200 700800 720000 725328 730000 736000 748980 755136 755550 760000 765624 776250 786600 788400 794880 797525 798912 805920 819375 820800 821250 828000 832200 839040 839500 840960 855000 861327 864000 866875 874000 876000 887680 906660 912000 920000 936225 943920 957030 967104 983250 985500 993600 998640 1006848 1007400 1020832 1026000 1035000 1040250 1048800 1049375 1051200 1065216 1074560 1080000 1092500 1094400 1095000 1104000 1109600 1133325 1140000 1148436 1168000 1179900 1198368 1208880 1231875 1242000 1248300 1258560 1259250 1261440 1276040 1282500 1289472 1311000 1314000 1324800 1331520 1343200 1368000 1380000 1387000 1398400 1401600 1435545 1440000 1450656 1460000 1474875 1497960 1510272 1511100 1520000 1531248 1552500 1560375 1573200 1576800 1595050 1597824 1611840 1638750 1641600 1642500 1656000 1664400 1678080 1679000 1710000 1722654 1733750 1748000 1752000 1775360 1813320 1824000 1840000 1872450 1887840 1888875 1914060 1934208 1966500 1971000 1987200 1997280 2014800 2041664 2052000 2070000 2080500 2097600 2098750 2102400 2149120 2160000 2185000 2190000 2208000 2219200 2266650 2280000 2296872 2336000 2359800 2392575 2396736 2417760 2458125 2463750 2484000 2496600 2517120 2518500 2522880 2552080 2565000 2600625 2622000 2628000 2663040 2686400 2736000 2760000 2774000 2796800 2871090 2901312 2920000 2949750 2995920 3020544 3022200 3040000 3062496 3105000 3120750 3146400 3148125 3153600 3190100 3195648 3223680 3277500 3283200 3285000 3312000 3328800 3358000 3420000 3445308 3467500 3496000 3504000 3626640 3680000 3744900 3775680 3777750 3828120 3868416 3933000 3942000 3974400 3987625 3994560 4029600 4083328 4104000 4140000 4161000 4195200 4197500 4204800 4306635 4320000 4370000 4380000 4438400 4533300 4560000 4593744 4681125 4719600 4785150 4793472 4835520 4916250 4927500 4968000 4993200 5034240 5037000 5104160 5130000 5201250 5244000 5256000 5326080 5372800 5472000 5520000 5548000 5666625 5742180 5802624 5840000 5899500 5991840 6044400 6124992 6210000 6241500 6292800 6296250 6307200 6380200 6447360 6555000 6570000 6624000 6657600 6716000 6840000 6890616 6935000 6992000 7008000 7177725 7253280 7374375 7489800 7551360 7555500 7656240 7801875 7866000 7884000 7975250 7989120 8059200 8166656 8208000 8280000 8322000 8390400 8395000 8613270 8740000 8760000 8876800 9066600 9120000 9187488 9362250 9439200 9444375 9570300 9586944 9671040 9832500 9855000 9936000 9986400 10074000 10208320 10260000 10402500 10488000 10512000 10745600 11040000 11096000 11333250 11484360 11605248 11680000 11799000 11962875 11983680 12088800 12249984 12420000 12483000 12585600 12592500 12614400 12760400 13110000 13140000 13315200 13432000 13680000 13781232 13870000 13984000 14355450 14506560 14748750 14979600 15102720 15111000 15312480 15603750 15732000 15768000 15950500 15978240 16118400 16416000 16560000 16644000 16790000 17226540 17480000 17520000 18133200 18374976 18724500 18878400 18888750 19140600 19342080 19665000 19710000 19872000 19938125 19972800 20148000 20416640 20520000 20805000 20976000 21024000 21533175 22192000 22666500 22968720 23405625 23598000 23925750 23967360 24177600 24499968 24840000 24966000 25171200 25185000 25520800 26220000 26280000 26630400 26864000 27360000 27562464 27740000 28333125 28710900 29013120 29497500 29959200 30222000 30624960 31207500 31464000 31536000 31901000 32236800 33120000 33288000 33580000 34453080 34960000 35040000 35888625 36266400 36749952 37449000 37756800 37777500 38281200 39330000 39420000 39876250 39945600 40296000 40833280 41040000 41610000 41952000 43066350 44384000 45333000 45937440 46811250 47196000 47851500 47934720 48355200 49680000 49932000 50370000 51041600 52440000 52560000 53728000 55124928 55480000 56666250 57421800 58026240 58995000 59814375 59918400 60444000 61249920 62415000 62928000 63072000 63802000 66576000 67160000 68906160 69920000 71777250 72532800 73499904 74898000 75513600 75555000 76562400 78660000 78840000 79752500 79891200 80592000 82080000 83220000 86132700 90666000 91874880 93622500 94392000 95703000 96710400 99360000 99864000 100740000 102083200 104880000 105120000 107665875 110249856 110960000 113332500 114843600 117990000 119628750 119836800 120888000 122499840 124830000 125856000 127604000 133152000 134320000 137812320 143554500 145065600 149796000 151110000 153124800 157320000 157680000 159505000 161184000 166440000 172265400 179443125 181332000 183749760 187245000 188784000 191406000 199728000 201480000 204166400 209760000 215331750 220499712 221920000 226665000 229687200 235980000 239257500 239673600 241776000 249660000 255208000 268640000 275624640 287109000 290131200 299592000 302220000 306249600 314640000 315360000 319010000 332880000 344530800 358886250 362664000 367499520 374490000 377568000 382812000 399456000 402960000 430663500 453330000 459374400 471960000 478515000 483552000 499320000 510416000 538329375 551249280 574218000 599184000 604440000 612499200 629280000 638020000 665760000 689061600 717772500 725328000 748980000 765624000 805920000 861327000 906660000 918748800 943920000 957030000 998640000 1020832000 1076658750 1102498560 1148436000 1198368000 1208880000 1276040000 1378123200 1435545000 1450656000 1497960000 1531248000 1722654000 1813320000 1837497600 1887840000 1914060000 1997280000 2153317500 2296872000 2417760000 2552080000 2756246400 2871090000 2995920000 3062496000 3445308000 3626640000 3828120000 4306635000 4593744000 5104160000 5512492800 5742180000 5991840000 6890616000 7253280000 7656240000 8613270000 9187488000 11484360000 13781232000 15312480000 17226540000 22968720000 27562464000 34453080000 45937440000 68906160000 137812320000
- Sum of all divisors σ(n): 567028492800
- Sum of proper divisors (its aliquot sum) s(n): 429216172800
- 137812320000 is an abundant number, because the sum of its proper divisors (429216172800) is greater than itself. Its abundance is 291403852800
Bases of 137812320000
- Binary: 100000000101100100000100011111000000002
- Hexadecimal: 0x2016411F00
- Base-36: 1RB5WAO0
Squares and roots of 137812320000
- 137812320000 squared (1378123200002) is 18992235543782400000000
- 137812320000 cubed (1378123200003) is 2617364042275114119168000000000000
-
The
square root of 137812320000 is 371230.8176862475 -
The
cube root of 137812320000 is 5165.3055218901
Scales and comparisons
How big is 137812320000?- 137,812,320,000 seconds is equal to 4,382 years, 2 days.
-
To count from 1 to 137,812,320,000 would take you about eight thousand, seven hundred sixty-four 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 137812320000 cubic inches would be around 430.4 feet tall.
Recreational maths with 137812320000
- 137812320000 backwards is 000023218731
- 137812320000 is a
Harshad number . - The number of decimal digits it has is: 12
- The sum of 137812320000's digits is 27
- 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 137812320000 - Facts about the integer". Numbermatics.com. 2024. Web. 19 June 2024.
APA style:
Numbermatics. (2024). Number 137812320000 - Facts about the integer. Retrieved 19 June 2024, from https://numbermatics.com/n/137812320000/
Chicago style:
Numbermatics. 2024. "Number 137812320000 - Facts about the integer". https://numbermatics.com/n/137812320000/
The information we have on file for 137812320000 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 137812320000, math, Factors of 137812320000, curriculum, school, college, exams, university, Prime factorization of 137812320000, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-seven billion, eight hundred twelve million, three hundred twenty thousand.