137986993192414464
137,986,993,192,414,464 is an even composite number composed of five prime numbers multiplied together.
What does the number 137986993192414464 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 648 divisors.
137986993192414464 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of six hundred forty-eight divisors.
Prime factorization of 137986993192414464:
28 × 33 × 7 × 4092 × 41292
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 7 × 409 × 409 × 4129 × 4129)See below for interesting mathematical facts about the number 137986993192414464 from the Numbermatics database.
Names of 137986993192414464
- Cardinal: 137986993192414464 can be written as One hundred thirty-seven quadrillion, nine hundred eighty-six trillion, nine hundred ninety-three billion, one hundred ninety-two million, four hundred fourteen thousand, four hundred sixty-four.
Scientific notation
- Scientific notation: 1.37986993192414464 × 1017
Factors of 137986993192414464
Divisors of 137986993192414464
- Number of divisors d(n): 648
-
Complete list of divisors:
1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 54 56 63 64 72 84 96 108 112 126 128 144 168 189 192 216 224 252 256 288 336 378 384 409 432 448 504 576 672 756 768 818 864 896 1008 1152 1227 1344 1512 1636 1728 1792 2016 2304 2454 2688 2863 3024 3272 3456 3681 4032 4129 4908 5376 5726 6048 6544 6912 7362 8064 8258 8589 9816 11043 11452 12096 12387 13088 14724 16128 16516 17178 19632 22086 22904 24192 24774 25767 26176 28903 29448 33032 34356 37161 39264 44172 45808 48384 49548 51534 52352 57806 58896 66064 68712 74322 77301 78528 86709 88344 91616 99096 103068 104704 111483 115612 117792 132128 137424 148644 154602 157056 167281 173418 176688 183232 198192 206136 222966 231224 235584 260127 264256 274848 297288 309204 314112 334562 346836 353376 366464 396384 412272 445932 462448 471168 501843 520254 528512 549696 594576 618408 669124 693672 706752 732928 780381 792768 824544 891864 924896 942336 1003686 1040508 1057024 1099392 1170967 1189152 1236816 1338248 1387344 1413504 1505529 1560762 1585536 1649088 1688761 1783728 1849792 2007372 2081016 2198784 2341934 2378304 2473632 2676496 2774688 2827008 3011058 3121524 3171072 3298176 3377522 3512901 3567456 3699584 4014744 4162032 4516587 4683868 4756608 4947264 5066283 5352992 5549376 6022116 6243048 6596352 6755044 7025802 7134912 7399168 8029488 8324064 9033174 9367736 9513216 9894528 10132566 10538703 10705984 11098752 11821327 12044232 12486096 13510088 14051604 14269824 15198849 16058976 16648128 17048641 18066348 18735472 19789056 20265132 21077406 21411968 22197504 23642654 24088464 24972192 27020176 28103208 28539648 30397698 31616109 32117952 33296256 34097282 35463981 36132696 37470944 40530264 42154812 42823936 45596547 47285308 48176928 49944384 51145923 54040352 56206416 60795396 63232218 64235904 66592512 68194564 70927962 72265392 74941888 81060528 84309624 91193094 94570616 96353856 99888768 102291846 106391943 108080704 112412832 119340487 121590792 126464436 128471808 136389128 141855924 144530784 149883776 153437769 162121056 168619248 182386188 189141232 192707712 199777536 204583692 212783886 216161408 224825664 238680974 243181584 252928872 272778256 283711848 289061568 299767552 306875538 319175829 324242112 337238496 358021461 364772376 378282464 385415424 409167384 425567772 432322816 449651328 460313307 477361948 486363168 505857744 545556512 567423696 578123136 613751076 638351658 648484224 674476992 690703249 716042922 729544752 756564928 818334768 851135544 899302656 920626614 954723896 972726336 1011715488 1074064383 1091113024 1134847392 1156246272 1227502152 1276703316 1296968448 1348953984 1381406498 1432085844 1459089504 1513129856 1636669536 1702271088 1841253228 1909447792 1945452672 2023430976 2072109747 2148128766 2182226048 2269694784 2455004304 2553406632 2697907968 2762812996 2864171688 2918179008 3026259712 3222193149 3273339072 3404542176 3682506456 3818895584 3890905344 4046861952 4144219494 4296257532 4364452096 4539389568 4834922743 4910008608 5106813264 5525625992 5728343376 5836358016 6216329241 6444386298 6546678144 6809084352 6972894169 7365012912 7637791168 8093723904 8288438988 8592515064 9078779136 9669845486 9820017216 10213626528 11051251984 11456686752 11672716032 12432658482 12888772596 13093356288 13618168704 13945788338 14504768229 14730025824 15275582336 16576877976 17185030128 18648987723 19339690972 19640034432 20427253056 20918682507 22102503968 22913373504 24865316964 25777545192 27236337408 27891576676 29009536458 29460051648 30551164672 33153755952 34370060256 37297975446 38679381944 39280068864 40854506112 41837365014 43514304687 44205007936 45826747008 48810259183 49730633928 51555090384 55783153352 58019072916 58920103296 62756047521 66307511904 68740120512 74595950892 77358763888 81709012224 83674730028 87028609374 88410015872 91653494016 97620518366 99461267856 103110180768 111566306704 116038145832 117840206592 125512095042 130542914061 132615023808 137480241024 146430777549 149191901784 154717527776 167349460056 174057218748 176820031744 188268142563 195241036732 198922535712 206220361536 223132613408 232076291664 251024190084 261085828122 265230047616 274960482048 292861555098 298383803568 309435055552 334698920112 348114437496 376536285126 390482073464 397845071424 412440723072 439292332647 446265226816 464152583328 502048380168 522171656244 530460095232 585723110196 596767607136 618870111104 669397840224 696228874992 753072570252 780964146928 795690142848 824881446144 878584665294 892530453632 928305166656 1004096760336 1044343312488 1171446220392 1193535214272 1237740222208 1317876997941 1338795680448 1392457749984 1506145140504 1561928293856 1591380285696 1757169330588 1785060907264 1856610333312 2008193520672 2088686624976 2342892440784 2387070428544 2635753995882 2677591360896 2784915499968 2851913715121 3012290281008 3123856587712 3514338661176 3713220666624 4016387041344 4177373249952 4685784881568 4774140857088 5271507991764 5355182721792 5569830999936 5703827430242 6024580562016 6247713175424 7028677322352 8032774082688 8354746499904 8555741145363 9371569763136 10543015983528 11139661999872 11407654860484 12049161124032 12495426350848 14057354644704 16065548165376 16709492999808 17111482290726 18743139526272 19963396005847 21086031967056 22815309720968 24098322248064 25667223436089 28114709289408 33418985999616 34222964581452 37486279052544 39926792011694 42172063934112 45630619441936 48196644496128 51334446872178 56229418578816 59890188017541 68445929162904 77001670308267 79853584023388 84344127868224 91261238883872 102668893744356 112458837157632 119780376035082 136891858325808 154003340616534 159707168046776 168688255736448 179670564052623 182522477767744 205337787488712 239560752070164 273783716651616 308006681233068 319414336093552 337376511472896 359341128105246 365044955535488 410675574977424 479121504140328 539011692157869 547567433303232 616013362466136 638828672187104 718682256210492 730089911070976 821351149954848 958243008280656 1078023384315738 1095134866606464 1232026724932272 1277657344374208 1437364512420984 1642702299909696 1916486016561312 2156046768631476 2190269733212928 2464053449864544 2555314688748416 2874729024841968 3285404599819392 3832972033122624 4312093537262952 4928106899729088 5110629377496832 5749458049683936 6570809199638784 7665944066245248 8624187074525904 9856213799458176 11498916099367872 15331888132490496 17248374149051808 19712427598916352 22997832198735744 34496748298103616 45995664397471488 68993496596207232 137986993192414464
- Sum of all divisors σ(n): 467601174182358720
- Sum of proper divisors (its aliquot sum) s(n): 329614180989944256
- 137986993192414464 is an abundant number, because the sum of its proper divisors (329614180989944256) is greater than itself. Its abundance is 191627187797529792
Bases of 137986993192414464
- Binary: 1111010100011101001110000011100001101101110101101000000002
- Hexadecimal: 0x1EA3A7070DBAD00
- Base-36: 11QOB1K46DC0
Squares and roots of 137986993192414464
- 137986993192414464 squared (1379869931924144642) is 19040410290283435631156829956407296
- 137986993192414464 cubed (1379869931924144643) is 2627328965106118740797359752144506994302181225529344
-
The
square root of 137986993192414464 is 371466005.4330873277 -
The
cube root of 137986993192414464 is 516748.6893109239
Scales and comparisons
How big is 137986993192414464?- 137,986,993,192,414,464 seconds is equal to 4,387,559,561 years, 37 weeks, 4 days, 18 hours, 14 minutes, 24 seconds.
-
To count from 1 to 137,986,993,192,414,464 would take you about thirteen billion, one hundred sixty-two million, six hundred seventy-eight thousand, six hundred eighty-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 137986993192414464 cubic inches would be around 43062.4 feet tall.
Recreational maths with 137986993192414464
- 137986993192414464 backwards is 464414291399689731
- The number of decimal digits it has is: 18
- The sum of 137986993192414464's digits is 90
- More coming soon!
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The information we have on file for 137986993192414464 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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