137538567009206272
137,538,567,009,206,272 is an even composite number composed of five prime numbers multiplied together.
What does the number 137538567009206272 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 2304 divisors.
137538567009206272 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of two thousand, three hundred four divisors.
Prime factorization of 137538567009206272:
223 × 72 × 133 × 173 × 31
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 7 × 7 × 13 × 13 × 13 × 17 × 17 × 17 × 31)See below for interesting mathematical facts about the number 137538567009206272 from the Numbermatics database.
Names of 137538567009206272
- Cardinal: 137538567009206272 can be written as One hundred thirty-seven quadrillion, five hundred thirty-eight trillion, five hundred sixty-seven billion, nine million, two hundred six thousand, two hundred seventy-two.
Scientific notation
- Scientific notation: 1.37538567009206272 × 1017
Factors of 137538567009206272
Divisors of 137538567009206272
- Number of divisors d(n): 2304
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Complete list of divisors:
1 2 4 7 8 13 14 16 17 26 28 31 32 34 49 52 56 62 64 68 91 98 104 112 119 124 128 136 169 182 196 208 217 221 224 238 248 256 272 289 338 364 392 403 416 434 442 448 476 496 512 527 544 578 637 676 728 784 806 832 833 868 884 896 952 992 1024 1054 1088 1156 1183 1274 1352 1456 1519 1547 1568 1612 1664 1666 1736 1768 1792 1904 1984 2023 2048 2108 2176 2197 2312 2366 2548 2704 2821 2873 2912 3038 3094 3136 3224 3328 3332 3472 3536 3584 3689 3757 3808 3968 4046 4096 4216 4352 4394 4624 4732 4913 5096 5239 5408 5642 5746 5824 6076 6188 6272 6448 6656 6664 6851 6944 7072 7168 7378 7514 7616 7936 8092 8192 8281 8432 8704 8788 8959 9248 9464 9826 10192 10478 10816 10829 11284 11492 11648 12152 12376 12544 12896 13312 13328 13702 13888 14144 14161 14336 14756 15028 15232 15379 15872 16184 16384 16562 16864 17408 17576 17918 18496 18928 19652 19747 20111 20384 20956 21632 21658 22568 22984 23296 24304 24752 25088 25792 25823 26299 26624 26656 27404 27776 28288 28322 28672 29512 30056 30464 30758 31744 32368 32768 33124 33728 34391 34816 35152 35836 36673 36992 37349 37856 39304 39494 40222 40768 41912 43264 43316 45136 45968 46592 47957 48608 48841 49504 50176 51584 51646 52598 53248 53312 54808 55552 56576 56644 57344 59024 60112 60928 61516 62713 63488 63869 64736 65536 66248 67456 68107 68782 69632 70304 71672 73346 73984 74698 75712 78608 78988 80444 81536 83824 86528 86632 89063 90272 91936 93184 95914 97216 97682 99008 100352 103168 103292 105196 106496 106624 107653 109616 111104 113152 113288 114688 116467 118048 120224 121856 123032 125426 126976 127738 129472 131072 132496 134912 136214 137564 139264 140608 140777 143344 146692 147968 149396 151424 152303 157216 157976 160888 163072 167648 173056 173264 178126 180544 183872 184093 186368 191828 194432 195364 198016 200704 206336 206584 210392 212992 213248 215306 219232 222208 226304 226576 229376 232934 236096 240448 240737 243712 246064 250852 253952 255476 256711 258944 261443 262144 264992 269824 272428 275128 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3999260475392 4077874970624 4152233033728 4197343963904 4249214255104 4332742156288 4471635574784 4514790146048 4576076890112 4660428537856 4796964530176 4856244862976 4862081695744 4951705321472 5018923040768 5159760166912 5165961801728 5229802160128 5326204043264 5332605730816 5482245177344 5556664795136 5659091795968 5903956344832 5984100548608 6094406549504 6350474051584 6358106832896 6563207053312 6747378679808 6838972055552 6965036056576 6998705831936 7266407809024 7436124946432 7675999944704 7825362255872 7900882755584 8155749941248 8304466067456 8394687927808 8498428510208 8665484312576 8943271149568 9029580292096 9152153780224 9320857075712 9593929060352 9712489725952 9724163391488 9903410642944 10037846081536 10319520333824 10331923603456 10665211461632 10964490354688 11113329590272 11318183591936 11807912689664 11968201097216 12188813099008 12700948103168 12716213665792 13126414106624 13494757359616 13997411663872 14532815618048 14872249892864 15351999889408 15650724511744 15801765511168 16311499882496 16608932134912 16789375855616 16996857020416 17330968625152 18059160584192 18304307560448 18641714151424 19187858120704 19448326782976 19806821285888 20075692163072 20639040667648 20663847206912 21330422923264 21928980709376 22226659180544 22636367183872 23615825379328 23936402194432 24377626198016 25432427331584 26252828213248 26989514719232 27994823327744 29065631236096 29744499785728 31301449023488 31603531022336 32622999764992 33578751711232 33993714040832 34661937250304 36118321168384 36608615120896 37283428302848 38375716241408 38896653565952 39613642571776 41278081335296 41327694413824 42660845846528 43857961418752 44453318361088 45272734367744 47231650758656 47872804388864 48755252396032 50864854663168 53979029438464 58131262472192 59488999571456 62602898046976 63207062044672 65245999529984 67157503422464 67987428081664 69323874500608 72236642336768 76751432482816 77793307131904 79227285143552 82556162670592 82655388827648 85321691693056 87715922837504 88906636722176 90545468735488 94463301517312 101729709326336 107958058876928 116262524944384 118977999142912 126414124089344 130491999059968 134315006844928 138647749001216 144473284673536 153502864965632 155586614263808 158454570287104 165112325341184 165310777655296 170643383386112 175431845675008 188926603034624 203459418652672 215916117753856 237955998285824 252828248178688 260983998119936 268630013689856 277295498002432 288946569347072 307005729931264 311173228527616 316909140574208 330621555310592 341286766772224 350863691350016 377853206069248 406918837305344 475911996571648 505656496357376 537260027379712 554590996004864 577893138694144 614011459862528 622346457055232 633818281148416 661243110621184 701727382700032 755706412138496 813837674610688 1011312992714752 1074520054759424 1109181992009728 1155786277388288 1228022919725056 1322486221242368 1403454765400064 1511412824276992 2022625985429504 2149040109518848 2218363984019456 2456045839450112 2644972442484736 2806909530800128 4045251970859008 4298080219037696 4436727968038912 4912091678900224 5289944884969472 8090503941718016 8596160438075392 9824183357800448 10579889769938944 17192320876150784 19648366715600896 34384641752301568 68769283504603136 137538567009206272
- Sum of all divisors σ(n): 380182536691776000
- Sum of proper divisors (its aliquot sum) s(n): 242643969682569728
- 137538567009206272 is an abundant number, because the sum of its proper divisors (242643969682569728) is greater than itself. Its abundance is 105105402673363456
Bases of 137538567009206272
- Binary: 1111010001010001010011001000101011000000000000000000000002
- Hexadecimal: 0x1E8A29915800000
- Base-36: 11M9CPEWPRLS
Squares and roots of 137538567009206272
- 137538567009206272 squared (1375385670092062722) is 18916857414945923916669203444137984
- 137538567009206272 cubed (1375385670092062723) is 2601797461169140492736918695606364890558999086235648
-
The
square root of 137538567009206272 is 370861924.4533014499 -
The
cube root of 137538567009206272 is 516188.3101343003
Scales and comparisons
How big is 137538567009206272?- 137,538,567,009,206,272 seconds is equal to 4,373,300,996 years, 8 weeks, 6 days, 13 hours, 17 minutes, 52 seconds.
-
To count from 1 to 137,538,567,009,206,272 would take you about thirteen billion, one hundred nineteen million, nine hundred two thousand, nine hundred eighty-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 137538567009206272 cubic inches would be around 43015.7 feet tall.
Recreational maths with 137538567009206272
- 137538567009206272 backwards is 272602900765835731
- The number of decimal digits it has is: 18
- The sum of 137538567009206272's digits is 73
- More coming soon!
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"Number 137538567009206272 - Facts about the integer". Numbermatics.com. 2024. Web. 31 May 2024.
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Numbermatics. (2024). Number 137538567009206272 - Facts about the integer. Retrieved 31 May 2024, from https://numbermatics.com/n/137538567009206272/
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The information we have on file for 137538567009206272 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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