137052013303296
137,052,013,303,296 is an even composite number composed of seven prime numbers multiplied together.
What does the number 137052013303296 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 960 divisors.
137052013303296 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of nine hundred sixty divisors.
Prime factorization of 137052013303296:
29 × 32 × 7 × 13 × 17 × 2609 × 7369
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 7 × 13 × 17 × 2609 × 7369)See below for interesting mathematical facts about the number 137052013303296 from the Numbermatics database.
Names of 137052013303296
- Cardinal: 137052013303296 can be written as One hundred thirty-seven trillion, fifty-two billion, thirteen million, three hundred three thousand, two hundred ninety-six.
Scientific notation
- Scientific notation: 1.37052013303296 × 1014
Factors of 137052013303296
Divisors of 137052013303296
- Number of divisors d(n): 960
-
Complete list of divisors:
1 2 3 4 6 7 8 9 12 13 14 16 17 18 21 24 26 28 32 34 36 39 42 48 51 52 56 63 64 68 72 78 84 91 96 102 104 112 117 119 126 128 136 144 153 156 168 182 192 204 208 221 224 234 238 252 256 272 273 288 306 312 336 357 364 384 408 416 442 448 468 476 504 512 544 546 576 612 624 663 672 714 728 768 816 819 832 884 896 936 952 1008 1071 1088 1092 1152 1224 1248 1326 1344 1428 1456 1536 1547 1632 1638 1664 1768 1792 1872 1904 1989 2016 2142 2176 2184 2304 2448 2496 2609 2652 2688 2856 2912 3094 3264 3276 3328 3536 3584 3744 3808 3978 4032 4284 4352 4368 4608 4641 4896 4992 5218 5304 5376 5712 5824 6188 6528 6552 6656 7072 7369 7488 7616 7827 7956 8064 8568 8704 8736 9282 9792 9984 10436 10608 10752 11424 11648 12376 13056 13104 13923 14144 14738 14976 15232 15654 15912 16128 17136 17472 18263 18564 19584 19968 20872 21216 22107 22848 23296 23481 24752 26112 26208 27846 28288 29476 29952 30464 31308 31824 32256 33917 34272 34944 36526 37128 39168 41744 42432 44214 44353 45696 46592 46962 49504 51583 52416 54789 55692 56576 58952 59904 60928 62616 63648 66321 67834 68544 69888 73052 74256 78336 83488 84864 88428 88706 91392 93924 95797 99008 101751 103166 104832 109578 111384 113152 117904 125232 125273 127296 132642 133059 135668 137088 139776 146104 148512 154749 164367 166976 169728 176856 177412 182784 187848 191594 198016 203502 206332 209664 219156 222768 235808 237419 250464 250546 254592 265284 266118 271336 274176 287391 292208 297024 305253 309498 310471 328734 333952 339456 353712 354824 375696 375819 383188 396032 399177 407004 412664 419328 438312 445536 464247 471616 474838 500928 501092 509184 530568 532236 542672 548352 574782 576589 584416 594048 610506 618996 620942 657468 667904 670579 707424 709648 712257 751392 751638 766376 792064 798354 814008 825328 862173 876624 876911 891072 928494 931413 943232 949676 1001856 1002184 1018368 1061136 1064472 1085344 1127457 1149564 1153178 1168832 1188096 1221012 1237992 1241884 1314936 1335808 1341158 1414848 1419296 1424514 1502784 1503276 1532752 1596708 1628016 1628549 1650656 1724346 1729767 1753248 1753822 1782144 1856988 1862826 1886464 1899352 2003712 2004368 2011737 2122272 2128944 2136771 2170688 2254914 2299128 2306356 2337664 2376192 2442024 2475984 2483768 2629872 2630733 2682316 2794239 2829696 2838592 2849028 3005568 3006552 3065504 3193416 3256032 3257098 3301312 3448692 3459534 3506496 3507644 3564288 3713976 3725652 3772928 3798704 4007424 4008736 4023474 4036123 4244544 4257888 4273542 4341376 4509828 4598256 4612712 4675328 4884048 4885647 4951968 4967536 5189301 5259744 5261466 5364632 5588478 5659392 5677184 5698056 6011136 6013104 6035211 6131008 6386832 6512064 6514196 6602624 6897384 6919068 7012992 7015288 7128576 7427952 7451304 7597408 7892199 8017472 8046948 8072246 8489088 8515776 8547084 8682752 9019656 9196512 9225424 9350656 9768096 9771294 9903936 9935072 10378602 10519488 10522932 10729264 11176956 11318784 11354368 11396112 11399843 12022272 12026208 12070422 12108369 12262016 12773664 13024128 13028392 13205248 13794768 13838136 14025984 14030576 14656941 14855904 14902608 15194816 15784398 16034944 16093896 16144492 16978176 17031552 17094168 17365504 18039312 18393024 18450848 19225721 19536192 19542588 19807872 19870144 20757204 21038976 21045864 21458528 22353912 22708736 22792224 22799686 24052416 24140844 24216738 24524032 25547328 26048256 26056784 26410496 27589536 27676272 28051968 28061152 29313882 29711808 29805216 30389632 31568796 32069888 32187792 32288984 33956352 34063104 34188336 34199529 36078624 36325107 36786048 36901696 38451442 39072384 39085176 39615744 39740288 41514408 42077952 42091728 42917056 44707824 45584448 45599372 48104832 48281688 48433476 49048064 51094656 52096512 52113568 55179072 55352544 56122304 57677163 58627764 59423616 59610432 60779264 63137592 64139776 64375584 64577968 68126208 68376672 68399058 72157248 72650214 73572096 73803392 76902884 78144768 78170352 79231488 79480576 83028816 84155904 84183456 85834112 89415648 91168896 91198744 96209664 96563376 96866952 102189312 102598587 104227136 110358144 110705088 112244608 115354326 117255528 118847232 119220864 121558528 126275184 128751168 129155936 134580047 136753344 136798116 144314496 145300428 147144192 147606784 153805768 156289536 156340704 158961152 166057632 168366912 171668224 173031489 178831296 182337792 182397488 192419328 193126752 193733904 204378624 205197174 208454272 220716288 221410176 224489216 230708652 234511056 237694464 238441728 249934373 252550368 257502336 258311872 269160094 273506688 273596232 288628992 290600856 295213568 307611536 312681408 326837257 332115264 336733824 343336448 346062978 357662592 364675584 364794976 386253504 387467808 403740141 410394348 416908544 441432576 442820352 448978432 461417304 469022112 476883456 499868746 505100736 515004672 516623744 538320188 547013376 547192464 577257984 581201712 615223072 625362816 653674514 664230528 673467648 692125956 715325184 729589952 749803119 772507008 774935616 807480282 820788696 833817088 885640704 922834608 938044224 980511771 999737492 1010201472 1030009344 1033247488 1076640376 1094026752 1094384928 1162403424 1211220423 1230446144 1250725632 1307349028 1328461056 1346935296 1384251912 1430650368 1459179904 1499606238 1545014016 1549871232 1614960564 1641577392 1749540611 1845669216 1876088448 1961023542 1999474984 2020402944 2066494976 2153280752 2188769856 2249409357 2287860799 2324806848 2422440846 2460892288 2501451264 2614698056 2656922112 2768503824 2918359808 2941535313 2999212476 3090028032 3099742464 3229921128 3283154784 3499081222 3691338432 3752176896 3922047084 3998949968 4040805888 4248884341 4306561504 4377539712 4498818714 4575721598 4649613696 4844881692 4921784576 5229396112 5248621833 5537007648 5836719616 5883070626 5998424952 6199484928 6459842256 6566309568 6863582397 6998162444 7382676864 7504353792 7844094168 7997899936 8497768682 8613123008 8755079424 8997637428 9151443196 9299227392 9689763384 9843569152 10458792224 10497243666 11074015296 11766141252 11996849904 12746653023 12919684512 13132619136 13727164794 13996324888 14765353728 15688188336 15745865499 15995799872 16995537364 17226246016 17510158848 17995274856 18302886392 18598454784 19379526768 20590747191 20917584448 20994487332 22148030592 23532282504 23993699808 25493306046 25839369024 26265238272 27454329588 27992649776 29530707456 29742190387 31376376672 31491730998 31991599744 33991074728 34452492032 35990549712 36605772784 38239959069 38759053536 41181494382 41835168896 41988974664 44296061184 47064565008 47987399616 50986612092 51678738048 52530476544 54908659176 55985299552 59484380774 62752753344 62983461996 63983199488 67982149456 68904984064 71981099424 73211545568 76479918138 77518107072 82362988764 83670337792 83977949328 88592122368 89226571161 94129130016 95974799232 101973224184 103357476096 109817318352 111970599104 118968761548 125505506688 125966923992 127966398976 135964298912 143962198848 146423091136 152959836276 155036214144 164725977528 167340675584 167955898656 178453142322 188258260032 191949598464 203946448368 206714952192 219634636704 223941198208 237937523096 251011013376 251933847984 267679713483 271928597824 287924397696 292846182272 305919672552 310072428288 329451955056 335911797312 356906284644 376516520064 383899196928 407892896736 439269273408 447882396416 475875046192 502022026752 503867695968 535359426966 543857195648 575848795392 585692364544 611839345104 620144856576 658903910112 671823594624 713812569288 753033040128 815785793472 878538546816 895764792832 951750092384 1007735391936 1070718853932 1087714391296 1151697590784 1171384729088 1223678690208 1317807820224 1343647189248 1427625138576 1506066080256 1631571586944 1757077093632 1903500184768 2015470783872 2141437707864 2175428782592 2447357380416 2635615640448 2687294378496 2855250277152 3263143173888 3514154187264 3807000369536 4030941567744 4282875415728 4894714760832 5271231280896 5710500554304 6526286347776 7614000739072 8061883135488 8565750831456 9789429521664 10542462561792 11421001108608 15228001478144 17131501662912 19578859043328 22842002217216 34263003325824 45684004434432 68526006651648 137052013303296
- Sum of all divisors σ(n): 515724197788800
- Sum of proper divisors (its aliquot sum) s(n): 378672184485504
- 137052013303296 is an abundant number, because the sum of its proper divisors (378672184485504) is greater than itself. Its abundance is 241620171182208
Bases of 137052013303296
- Binary: 111110010100101111010001001000110010110000000002
- Hexadecimal: 0x7CA5E8919600
- Base-36: 1CKWTQ54W0
Squares and roots of 137052013303296
- 137052013303296 squared (1370520133032962) is 18783254350486823761684463616
- 137052013303296 cubed (1370520133032963) is 2574282825122112638000339709021910084878336
-
The
square root of 137052013303296 is 11706921.5980673587 -
The
cube root of 137052013303296 is 51557.8905120405
Scales and comparisons
How big is 137052013303296?- 137,052,013,303,296 seconds is equal to 4,357,830 years, 4 weeks, 5 days, 23 hours, 21 minutes, 36 seconds.
-
To count from 1 to 137,052,013,303,296 would take you about ten million, eight hundred ninety-four thousand, five hundred seventy-five 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 137052013303296 cubic inches would be around 4296.5 feet tall.
Recreational maths with 137052013303296
- 137052013303296 backwards is 692303310250731
- The number of decimal digits it has is: 15
- The sum of 137052013303296's digits is 45
- More coming soon!
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The information we have on file for 137052013303296 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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