138151297024000
138,151,297,024,000 is an even composite number composed of five prime numbers multiplied together.
What does the number 138151297024000 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 1216 divisors.
138151297024000 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one thousand, two hundred sixteen divisors.
Prime factorization of 138151297024000:
218 × 53 × 133 × 19 × 101
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 5 × 13 × 13 × 13 × 19 × 101)See below for interesting mathematical facts about the number 138151297024000 from the Numbermatics database.
Names of 138151297024000
- Cardinal: 138151297024000 can be written as One hundred thirty-eight trillion, one hundred fifty-one billion, two hundred ninety-seven million, twenty-four thousand.
Scientific notation
- Scientific notation: 1.38151297024 × 1014
Factors of 138151297024000
Divisors of 138151297024000
- Number of divisors d(n): 1216
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Complete list of divisors:
1 2 4 5 8 10 13 16 19 20 25 26 32 38 40 50 52 64 65 76 80 95 100 101 104 125 128 130 152 160 169 190 200 202 208 247 250 256 260 304 320 325 338 380 400 404 416 475 494 500 505 512 520 608 640 650 676 760 800 808 832 845 950 988 1000 1010 1024 1040 1216 1235 1280 1300 1313 1352 1520 1600 1616 1625 1664 1690 1900 1919 1976 2000 2020 2048 2080 2197 2375 2432 2470 2525 2560 2600 2626 2704 3040 3200 3211 3232 3250 3328 3380 3800 3838 3952 4000 4040 4096 4160 4225 4394 4750 4864 4940 5050 5120 5200 5252 5408 6080 6175 6400 6422 6464 6500 6565 6656 6760 7600 7676 7904 8000 8080 8192 8320 8450 8788 9500 9595 9728 9880 10100 10240 10400 10504 10816 10985 12160 12350 12625 12800 12844 12928 13000 13130 13312 13520 15200 15352 15808 16000 16055 16160 16384 16640 16900 17069 17576 19000 19190 19456 19760 20200 20480 20800 21008 21125 21632 21970 24320 24700 24947 25250 25600 25688 25856 26000 26260 26624 27040 30400 30704 30875 31616 32000 32110 32320 32768 32825 33280 33800 34138 35152 38000 38380 38912 39520 40400 40960 41600 41743 42016 42250 43264 43940 47975 48640 49400 49894 50500 51200 51376 51712 52000 52520 53248 54080 54925 60800 61408 61750 63232 64000 64220 64640 65536 65650 66560 67600 68276 70304 76000 76760 77824 79040 80275 80800 81920 83200 83486 84032 84500 85345 86528 87880 95950 97280 98800 99788 101000 102400 102752 103424 104000 105040 106496 108160 109850 121600 122816 123500 124735 126464 128000 128440 129280 131072 131300 133120 135200 136552 140608 152000 153520 155648 158080 160550 161600 163840 164125 166400 166972 168064 169000 170690 173056 175760 191900 194560 197600 199576 202000 204800 205504 206848 208000 208715 210080 212992 216320 219700 221897 239875 243200 245632 247000 249470 252928 256000 256880 258560 262144 262600 266240 270400 273104 274625 281216 304000 307040 311296 316160 321100 323200 324311 327680 328250 332800 333944 336128 338000 341380 346112 351520 383800 389120 395200 399152 401375 404000 409600 411008 413696 416000 417430 420160 425984 426725 432640 439400 443794 479750 486400 491264 494000 498940 505856 512000 513760 517120 525200 532480 540800 546208 549250 562432 608000 614080 622592 623675 632320 642200 646400 648622 655360 656500 665600 667888 672256 676000 682760 692224 703040 767600 778240 790400 798304 802750 808000 819200 822016 827392 832000 834860 840320 851968 853450 865280 878800 887588 959500 972800 982528 988000 997880 1011712 1024000 1027520 1034240 1043575 1050400 1064960 1081600 1092416 1098500 1109485 1124864 1216000 1228160 1245184 1247350 1264640 1284400 1292800 1297244 1310720 1313000 1331200 1335776 1344512 1352000 1365520 1384448 1406080 1535200 1556480 1580800 1596608 1605500 1616000 1621555 1638400 1644032 1654784 1664000 1669720 1680640 1703936 1706900 1730560 1757600 1775176 1919000 1945600 1965056 1976000 1995760 2023424 2048000 2055040 2068480 2087150 2100800 2129920 2133625 2163200 2184832 2197000 2218970 2249728 2432000 2456320 2490368 2494700 2529280 2568800 2585600 2594488 2626000 2662400 2671552 2689024 2704000 2731040 2768896 2812160 3070400 3112960 3118375 3161600 3193216 3211000 3232000 3243110 3276800 3288064 3309568 3328000 3339440 3361280 3407872 3413800 3461120 3515200 3550352 3838000 3891200 3930112 3952000 3991520 4046848 4096000 4110080 4136960 4174300 4201600 4216043 4259840 4267250 4326400 4369664 4394000 4437940 4499456 4864000 4912640 4980736 4989400 5058560 5137600 5171200 5188976 5217875 5252000 5324800 5343104 5378048 5408000 5462080 5537792 5547425 5624320 6140800 6225920 6236750 6323200 6386432 6422000 6464000 6486220 6553600 6576128 6619136 6656000 6678880 6722560 6827600 6922240 7030400 7100704 7676000 7782400 7860224 7904000 7983040 8093696 8107775 8192000 8220160 8273920 8348600 8403200 8432086 8519680 8534500 8652800 8739328 8788000 8875880 8998912 9728000 9825280 9978800 10117120 10275200 10342400 10377952 10435750 10504000 10649600 10686208 10756096 10816000 10924160 11075584 11094850 11248640 12281600 12451840 12473500 12646400 12772864 12844000 12928000 12972440 13152256 13238272 13312000 13357760 13445120 13655200 13844480 14060800 14201408 15352000 15564800 15720448 15808000 15966080 16187392 16215550 16384000 16440320 16547840 16697200 16806400 16864172 17039360 17069000 17305600 17478656 17576000 17751760 17997824 19456000 19650560 19957600 20234240 20550400 20684800 20755904 20871500 21008000 21080215 21299200 21372416 21512192 21632000 21848320 22151168 22189700 22497280 24563200 24903680 24947000 25292800 25545728 25688000 25856000 25944880 26304512 26476544 26624000 26715520 26890240 27310400 27688960 27737125 28121600 28402816 30704000 31129600 31440896 31616000 31932160 32374784 32431100 32768000 32880640 33095680 33394400 33612800 33728344 34138000 34611200 34957312 35152000 35503520 35995648 38912000 39301120 39915200 40468480 40538875 41100800 41369600 41511808 41743000 42016000 42160430 42598400 42744832 43024384 43264000 43696640 44302336 44379400 44994560 49126400 49894000 50585600 51091456 51376000 51712000 51889760 52609024 53248000 53431040 53780480 54620800 55377920 55474250 56243200 56805632 61408000 62259200 62881792 63232000 63864320 64749568 64862200 65761280 66191360 66788800 67225600 67456688 68276000 69222400 69914624 70304000 71007040 71991296 77824000 78602240 79830400 80936960 81077750 82201600 82739200 83023616 83486000 84032000 84320860 85196800 85489664 86048768 86528000 87393280 88758800 89989120 98252800 99788000 101171200 102182912 102752000 103424000 103779520 105218048 105401075 106496000 106862080 107560960 109241600 110755840 110948500 112486400 113611264 122816000 124518400 125763584 126464000 127728640 129724400 131522560 132382720 133577600 134451200 134913376 136552000 138444800 139829248 140608000 142014080 143982592 155648000 157204480 159660800 161873920 162155500 164403200 165478400 166047232 166972000 168064000 168641720 170979328 172097536 173056000 174786560 177517600 179978240 196505600 199576000 202342400 204365824 205504000 206848000 207559040 210436096 210802150 212992000 213724160 215121920 218483200 221511680 221897000 224972800 227222528 245632000 251527168 252928000 255457280 259448800 263045120 267155200 268902400 269826752 273104000 276889600 279658496 281216000 284028160 287965184 311296000 314408960 319321600 323747840 324311000 328806400 330956800 332094464 333944000 336128000 337283440 341958656 344195072 346112000 349573120 355035200 359956480 393011200 399152000 404684800 408731648 411008000 413696000 415118080 420872192 421604300 425984000 427448320 430243840 436966400 443794000 449945600 454445056 491264000 503054336 505856000 510914560 518897600 526090240 527005375 534310400 537804800 539653504 546208000 553779200 559316992 562432000 568056320 575930368 622592000 628817920 638643200 648622000 657612800 661913600 664188928 667888000 672256000 674566880 683917312 692224000 699146240 710070400 719912960 786022400 798304000 809369600 817463296 822016000 827392000 830236160 841744384 843208600 854896640 860487680 873932800 887588000 899891200 908890112 982528000 1011712000 1021829120 1037795200 1052180480 1054010750 1068620800 1075609600 1079307008 1092416000 1107558400 1118633984 1124864000 1136112640 1257635840 1277286400 1297244000 1315225600 1328377856 1335776000 1344512000 1349133760 1367834624 1384448000 1398292480 1420140800 1439825920 1572044800 1596608000 1618739200 1634926592 1644032000 1654784000 1660472320 1686417200 1709793280 1720975360 1747865600 1775176000 1799782400 1817780224 1965056000 2023424000 2043658240 2075590400 2104360960 2108021500 2137241600 2151219200 2158614016 2184832000 2237267968 2249728000 2272225280 2515271680 2554572800 2594488000 2630451200 2656755712 2671552000 2689024000 2698267520 2735669248 2768896000 2796584960 2840281600 2879651840 3144089600 3193216000 3269853184 3288064000 3309568000 3320944640 3372834400 3419586560 3495731200 3550352000 3599564800 3635560448 3930112000 4046848000 4087316480 4151180800 4208721920 4216043000 4274483200 4302438400 4317228032 4369664000 4474535936 4499456000 4544450560 5109145600 5188976000 5260902400 5313511424 5343104000 5378048000 5396535040 5471338496 5537792000 5593169920 5680563200 6288179200 6386432000 6539706368 6576128000 6641889280 6745668800 6839173120 6991462400 7100704000 7199129600 7271120896 7860224000 8093696000 8174632960 8302361600 8432086000 8548966400 8604876800 8634456064 8739328000 8998912000 9088901120 10218291200 10377952000 10521804800 10627022848 10686208000 10756096000 10793070080 10942676992 11186339840 11361126400 12576358400 12772864000 13152256000 13283778560 13491337600 13678346240 13982924800 14201408000 14398259200 14542241792 15720448000 16349265920 16604723200 16864172000 17097932800 17268912128 17478656000 17997824000 18177802240 20436582400 20755904000 21043609600 21254045696 21372416000 21512192000 21586140160 22372679680 22722252800 25545728000 26304512000 26567557120 26982675200 27356692480 27965849600 28402816000 29084483584 31440896000 32698531840 33209446400 33728344000 34195865600 34537824256 34957312000 35995648000 36355604480 40873164800 41511808000 42508091392 42744832000 43024384000 43172280320 45444505600 51091456000 52609024000 53135114240 53965350400 54713384960 55931699200 56805632000 58168967168 62881792000 66418892800 67456688000 68391731200 69075648512 69914624000 71991296000 72711208960 81746329600 83023616000 85016182784 85489664000 86344560640 90889011200 102182912000 105218048000 106270228480 107930700800 111863398400 113611264000 132837785600 134913376000 136783462400 138151297024 139829248000 145422417920 163492659200 166047232000 170979328000 172689121280 181778022400 204365824000 212540456960 215861401600 227222528000 265675571200 269826752000 273566924800 276302594048 279658496000 290844835840 332094464000 341958656000 345378242560 363556044800 408731648000 425080913920 431722803200 454445056000 531351142400 539653504000 552605188096 559316992000 664188928000 683917312000 690756485120 727112089600 817463296000 863445606400 908890112000 1062702284800 1079307008000 1105210376192 1328377856000 1367834624000 1381512970240 1454224179200 1726891212800 1817780224000 2125404569600 2158614016000 2656755712000 2763025940480 3453782425600 3635560448000 4317228032000 5313511424000 5526051880960 6907564851200 7271120896000 8634456064000 10627022848000 13815129702400 17268912128000 27630259404800 34537824256000 69075648512000 138151297024000
- Sum of all divisors σ(n): 397100845814400
- Sum of proper divisors (its aliquot sum) s(n): 258949548790400
- 138151297024000 is an abundant number, because the sum of its proper divisors (258949548790400) is greater than itself. Its abundance is 120798251766400
Bases of 138151297024000
- Binary: 111110110100101110110101111110000000000000000002
- Hexadecimal: 0x7DA5DAFC0000
- Base-36: 1CYXTVACCG
Squares and roots of 138151297024000
- 138151297024000 squared (1381512970240002) is 19085780869413471256576000000
- 138151297024000 cubed (1381512970240003) is 2636725381825317424234117489229824000000000
-
The
square root of 138151297024000 is 11753777.9893955799 -
The
cube root of 138151297024000 is 51695.3708907481
Scales and comparisons
How big is 138151297024000?- 138,151,297,024,000 seconds is equal to 4,392,783 years, 47 weeks, 4 days, 4 hours, 26 minutes, 40 seconds.
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To count from 1 to 138,151,297,024,000 would take you about ten million, nine hundred eighty-one thousand, nine hundred fifty-nine 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 138151297024000 cubic inches would be around 4307.9 feet tall.
Recreational maths with 138151297024000
- 138151297024000 backwards is 000420792151831
- The number of decimal digits it has is: 15
- The sum of 138151297024000's digits is 43
- More coming soon!
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The information we have on file for 138151297024000 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!
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