137164139915264
137,164,139,915,264 is an even composite number composed of five prime numbers multiplied together.
What does the number 137164139915264 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 720 divisors.
137164139915264 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of seven hundred twenty divisors.
Prime factorization of 137164139915264:
211 × 74 × 112 × 269 × 857
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 7 × 7 × 7 × 7 × 11 × 11 × 269 × 857)See below for interesting mathematical facts about the number 137164139915264 from the Numbermatics database.
Names of 137164139915264
- Cardinal: 137164139915264 can be written as One hundred thirty-seven trillion, one hundred sixty-four billion, one hundred thirty-nine million, nine hundred fifteen thousand, two hundred sixty-four.
Scientific notation
- Scientific notation: 1.37164139915264 × 1014
Factors of 137164139915264
Divisors of 137164139915264
- Number of divisors d(n): 720
-
Complete list of divisors:
1 2 4 7 8 11 14 16 22 28 32 44 49 56 64 77 88 98 112 121 128 154 176 196 224 242 256 269 308 343 352 392 448 484 512 538 539 616 686 704 784 847 857 896 968 1024 1076 1078 1232 1372 1408 1568 1694 1714 1792 1883 1936 2048 2152 2156 2401 2464 2744 2816 2959 3136 3388 3428 3584 3766 3773 3872 4304 4312 4802 4928 5488 5632 5918 5929 5999 6272 6776 6856 7168 7532 7546 7744 8608 8624 9427 9604 9856 10976 11264 11836 11858 11998 12544 13181 13552 13712 14336 15064 15092 15488 17216 17248 18854 19208 19712 20713 21952 22528 23672 23716 23996 25088 26362 26411 27104 27424 30128 30184 30976 32549 34432 34496 37708 38416 39424 41426 41503 41993 43904 47344 47432 47992 50176 52724 52822 54208 54848 60256 60368 61952 65098 65989 68864 68992 75416 76832 78848 82852 83006 83986 87808 92267 94688 94864 95984 100352 103697 105448 105644 108416 109696 120512 120736 123904 130196 131978 137728 137984 144991 150832 153664 157696 165704 166012 167972 175616 184534 189376 189728 191968 207394 210896 211288 216832 219392 227843 230533 241024 241472 247808 260392 263956 275456 275968 289982 290521 293951 301664 307328 331408 332024 335944 351232 369068 378752 379456 383936 414788 421792 422576 433664 438784 455686 461066 461923 482048 482944 520784 527912 550912 551936 579964 581042 587902 603328 614656 645869 662816 664048 671888 702464 725879 738136 757504 758912 767872 829576 843584 845152 867328 877568 911372 922132 923846 964096 965888 1014937 1041568 1055824 1103872 1159928 1162084 1175804 1206656 1229312 1291738 1325632 1328096 1343776 1451758 1476272 1515008 1517824 1535744 1594901 1613731 1659152 1687168 1690304 1734656 1755136 1822744 1844264 1847692 1928192 1931776 2029874 2057657 2083136 2111648 2319856 2324168 2351608 2413312 2458624 2535863 2583476 2651264 2656192 2687552 2903516 2952544 3030016 3035648 3071488 3189802 3227462 3233461 3318304 3374336 3380608 3645488 3688528 3695384 3856384 3863552 4059748 4115314 4166272 4223296 4639712 4648336 4703216 4826624 4917248 5071726 5081153 5166952 5302528 5312384 5375104 5807032 5905088 6060032 6071296 6142976 6379604 6454924 6466922 6636608 6748672 6761216 7104559 7290976 7377056 7390768 7727104 8119496 8230628 8332544 8446592 9279424 9296672 9406432 9653248 10143452 10162306 10333904 10605056 10624768 10750208 11164307 11296117 11614064 11810176 12142592 12285952 12759208 12909848 12933844 13273216 13497344 13522432 14209118 14581952 14754112 14781536 16238992 16461256 16665088 16893184 17751041 18558848 18593344 18812864 19306496 20286904 20324612 20667808 21210112 21249536 21500416 22328614 22592234 22634227 23228128 23620352 25518416 25819696 25867688 26546432 26994688 27044864 27894493 28418236 29163904 29508224 29563072 32477984 32922512 33330176 33786368 35502082 35568071 37117696 37186688 37625728 40573808 40649224 41335616 42420224 42499072 43000832 44657228 45184468 45268454 46456256 47240704 51036832 51639392 51735376 53092864 54089728 55788986 56836472 58327808 59016448 59126144 64955968 65845024 66660352 67572736 71004164 71136142 74235392 74373376 75251456 78150149 79072819 81147616 81298448 82671232 84998144 86001664 89314456 90368936 90536908 92912512 94481408 102073664 103278784 103470752 106185728 111577972 113672944 116655616 118032896 118252288 124257287 129911936 131690048 135145472 142008328 142272284 148470784 148746752 150502912 156300298 158145638 162295232 162596896 165342464 178628912 180737872 181073816 185825024 188962816 195261451 204147328 206557568 206941504 212371456 223155944 227345888 233311232 236065792 236504576 248514574 248976497 259823872 263380096 284016656 284544568 296941568 297493504 301005824 312600596 316291276 324590464 325193792 330684928 357257824 361475744 362147632 371650048 390522902 408294656 413115136 413883008 446311888 454691776 466622464 472131584 473009152 497029148 497952994 519647744 526760192 553509733 568033312 569089136 594987008 602011648 625201192 632582552 649180928 650387584 661369856 714515648 722951488 724295264 743300096 781045804 816589312 826230272 827766016 869801009 892623776 909383552 946018304 994058296 995905988 1039295488 1053520384 1107019466 1136066624 1138178272 1250402384 1265165104 1298361856 1300775168 1322739712 1366830157 1429031296 1445902976 1448590528 1486600192 1562091608 1633178624 1652460544 1655532032 1739602018 1785247552 1818767104 1988116592 1991811976 2078590976 2107040768 2214038932 2272133248 2276356544 2500804768 2530330208 2596723712 2601550336 2733660314 2858062592 2891805952 2897181056 3124183216 3266357248 3304921088 3311064064 3479204036 3570495104 3637534208 3976233184 3983623952 4214081536 4428077864 4544266496 4552713088 5001609536 5060660416 5193447424 5203100672 5467320628 5716125184 5783611904 5794362112 6088607063 6248366432 6622128128 6958408072 7140990208 7275068416 7952466368 7967247904 8856155728 9088532992 9105426176 9567811099 10003219072 10121320832 10406201344 10934641256 11432250368 11567223808 11588724224 12177214126 12496732864 13916816144 14281980416 14550136832 15904932736 15934495808 17712311456 18177065984 18210852352 19135622198 20006438144 20242641664 21869282512 22864500736 23134447616 23177448448 24354428252 24993465728 27833632288 28563960832 31809865472 31868991616 35424622912 36354131968 36421704704 38271244396 40012876288 40485283328 43738565024 46354896896 48708856504 49986931456 55667264576 57127921664 63619730944 63737983232 66974677693 70849245824 72843409408 76542488792 80025752576 80970566656 87477130048 97417713008 99973862912 111334529152 127239461888 127475966464 133949355386 141698491648 153084977584 160051505152 161941133312 174954260096 194835426016 199947725824 222669058304 254478923776 254951932928 267898710772 283396983296 306169955168 349908520192 389670852032 399895451648 445338116608 509903865856 535797421544 566793966592 612339910336 699817040384 779341704064 890676233216 1071594843088 1133587933184 1224679820672 1399634080768 1558683408128 1781352466432 2143189686176 2449359641344 2799268161536 3117366816256 4286379372352 4898719282688 6234733632512 8572758744704 9797438565376 12469467265024 17145517489408 19594877130752 34291034978816 68582069957632 137164139915264
- Sum of all divisors σ(n): 353402573624100
- Sum of proper divisors (its aliquot sum) s(n): 216238433708836
- 137164139915264 is an abundant number, because the sum of its proper divisors (216238433708836) is greater than itself. Its abundance is 79074293793572
Bases of 137164139915264
- Binary: 111110011000000000000111101010111101000000000002
- Hexadecimal: 0x7CC003D5E800
- Base-36: 1CMCC3FKE8
Squares and roots of 137164139915264
- 137164139915264 squared (1371641399152642) is 18814001278694118873100189696
- 137164139915264 cubed (1371641399152643) is 2580606303756755925935131796657683765919744
-
The
square root of 137164139915264 is 11711709.5214688449 -
The
cube root of 137164139915264 is 51571.9470628273
Scales and comparisons
How big is 137164139915264?- 137,164,139,915,264 seconds is equal to 4,361,395 years, 19 weeks, 2 days, 16 hours, 27 minutes, 44 seconds.
-
To count from 1 to 137,164,139,915,264 would take you about ten million, nine hundred three thousand, four 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 137164139915264 cubic inches would be around 4297.7 feet tall.
Recreational maths with 137164139915264
- 137164139915264 backwards is 462519931461731
- The number of decimal digits it has is: 15
- The sum of 137164139915264's digits is 62
- 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 137164139915264 - Facts about the integer". Numbermatics.com. 2024. Web. 23 June 2024.
APA style:
Numbermatics. (2024). Number 137164139915264 - Facts about the integer. Retrieved 23 June 2024, from https://numbermatics.com/n/137164139915264/
Chicago style:
Numbermatics. 2024. "Number 137164139915264 - Facts about the integer". https://numbermatics.com/n/137164139915264/
The information we have on file for 137164139915264 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 137164139915264, math, Factors of 137164139915264, curriculum, school, college, exams, university, Prime factorization of 137164139915264, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-seven trillion, one hundred sixty-four billion, one hundred thirty-nine million, nine hundred fifteen thousand, two hundred sixty-four.