137286388144640

Names of 137286388144640

• Cardinal: 137286388144640 can be written as One hundred thirty-seven trillion, two hundred eighty-six billion, three hundred eighty-eight million, one hundred forty-four thousand, six hundred forty.

Scientific notation

• Scientific notation: 1.3728638814464 × 10¹⁴

Factors of 137286388144640

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 16
• Sum of prime factors: 4095

Divisors of 137286388144640

• Number of divisors d(n): 640
• Complete list of divisors:
  1 2 4 5 7 8 10 14 16 20 28 32 35 40 49 56 64 70 80 97 98 112 128 140 160 194 196 224 245 256 280 320 343 388 392 448 457 485 490 512 560 640 679 686 776 784 896 914 970 980 1120 1280 1358 1372 1552 1568 1715 1792 1828 1940 1960 2240 2285 2560 2716 2744 3104 3136 3199 3395 3430 3527 3584 3656 3880 3920 4480 4570 4753 5432 5488 6208 6272 6398 6790 6860 7054 7312 7760 7840 8960 9140 9506 10864 10976 12416 12544 12796 13580 13720 14108 14624 15520 15680 15995 17635 17920 18280 19012 21728 21952 22393 23765 24689 24832 25088 25592 27160 27440 28216 29248 31040 31360 31990 33271 35270 36560 38024 43456 43904 44329 44786 47530 49378 49664 51184 54320 54880 56432 58496 62080 62720 63980 66542 70540 73120 76048 86912 87808 88658 89572 95060 98756 102368 108640 109760 111965 112864 116992 123445 124160 125440 127960 133084 141080 146240 152096 156751 166355 172823 173824 175616 177316 179144 190120 197512 204736 217280 219520 221645 223930 225728 233984 246890 248320 255920 266168 282160 292480 304192 310303 313502 332710 342119 345646 347648 354632 358288 380240 395024 409472 434560 439040 443290 447860 451456 493780 511840 532336 564320 584960 608384 620606 627004 665420 684238 691292 709264 716576 760480 783755 790048 818944 864115 869120 878080 886580 895720 902912 987560 1023680 1064672 1128640 1169920 1209761 1216768 1241212 1254008 1330840 1368476 1382584 1418528 1433152 1520960 1551515 1567510 1580096 1611839 1637888 1710595 1728230 1738240 1773160 1791440 1805824 1975120 2047360 2129344 2172121 2257280 2394833 2419522 2433536 2482424 2508016 2661680 2736952 2765168 2837056 2866304 3041920 3103030 3135020 3160192 3223678 3421190 3456460 3546320 3582880 3950240 4094720 4258688 4344242 4514560 4789666 4839044 4964848 5016032 5323360 5473904 5530336 5674112 5732608 6048805 6083840 6206060 6270040 6320384 6447356 6842380 6912920 7092640 7165760 7900480 8059195 8189440 8517376 8688484 9029120 9579332 9678088 9929696 10032064 10646720 10860605 10947808 11060672 11282873 11348224 11465216 11974165 12097610 12167680 12412120 12540080 12640768 12894712 13684760 13825840 14185280 14331520 15204847 15800960 16118390 16763831 17034752 17376968 19158664 19356176 19859392 20064128 21293440 21721210 21895616 22121344 22565746 22696448 23948330 24195220 24824240 25080160 25789424 27369520 27651680 28370560 28663040 30409694 31601920 32236780 33527662 34753936 38317328 38712352 39718784 40128256 42586880 43442420 43791232 44242688 45131492 47896660 48390440 49648480 50160320 51578848 54739040 55303360 56414365 56741120 57326080 60819388 63203840 64473560 67055324 69507872 76024235 76634656 77424704 78980111 79437568 80256512 83819155 85173760 86884840 87582464 88485376 90262984 95793320 96780880 99296960 100320640 103157696 109478080 110606720 112828730 113482240 117346817 121638776 128947120 134110648 139015744 152048470 153269312 154849408 156348383 157960222 158875136 167638310 173769680 175164928 180525968 191586640 193561760 198593920 200641280 206315392 218956160 221213440 225657460 234693634 243277552 257894240 268221296 278031488 304096940 306538624 309698816 312696766 315920444 335276620 347539360 361051936 383173280 387123520 394900555 397187840 401282560 412630784 437912320 442426880 451314920 469387268 486555104 515788480 536442592 552860777 556062976 586734085 608193880 613077248 619397632 625393532 631840888 670553240 695078720 722103872 766346560 774247040 781741915 789801110 794375680 825261568 875824640 902629840 938774536 973110208 1031576960 1072885184 1094438681 1105721554 1112125952 1173468170 1216387760 1226154496 1250787064 1263681776 1341106480 1390157440 1444207744 1532693120 1548494080 1563483830 1579602220 1805259680 1877549072 1946220416 2063153920 2145770368 2188877362 2211443108 2346936340 2432775520 2501574128 2527363552 2682212960 2764303885 2780314880 2888415488 3065386240 3096988160 3126967660 3159204440 3610519360 3755098144 3892440832 4126307840 4291540736 4377754724 4422886216 4693872680 4865551040 5003148256 5054727104 5364425920 5472193405 5528607770 5560629760 5776830976 6130772480 6253935320 6318408880 7221038720 7510196288 7661070767 7784881664 8583081472 8755509448 8845772432 9387745360 9731102080 10006296512 10109454208 10728851840 10944386810 11057215540 12507870640 12636817760 14442077440 15020392576 15322141534 17511018896 17691544864 18775490720 19462204160 20012593024 20218908416 21457703680 21888773620 22114431080 25015741280 25273635520 28884154880 30040785152 30644283068 35022037792 35383089728 37550981440 38305353835 38924408320 40025186048 40437816832 42915407360 43777547240 44228862160 50031482560 50547271040 53627495369 60081570304 61288566136 70044075584 70766179456 75101962880 76610707670 80050372096 87555094480 88457724320 100062965120 101094542080 107254990738 122577132272 140088151168 141532358912 150203925760 153221415340 175110188960 176915448640 200125930240 202189084160 214509981476 245154264544 268137476845 280176302336 283064717824 300407851520 306442830680 350220377920 353830897280 400251860480 429019962952 490308529088 536274953690 560352604672 612885661360 700440755840 707661794560 858039925904 980617058176 1072549907380 1225771322720 1400881511680 1415323589120 1716079851808 1961234116352 2145099814760 2451542645440 2801763023360 3432159703616 3922468232704 4290199629520 4903085290880 6864319407232 8580399259040 9806170581760 13728638814464 17160798518080 19612341163520 27457277628928 34321597036160 68643194072320 137286388144640
• Sum of all divisors σ(n): 388782766310400
• Sum of proper divisors (its aliquot sum) s(n): 251496378165760
• 137286388144640 is an abundant number, because the sum of its proper divisors (251496378165760) is greater than itself. Its abundance is 114209990021120

Bases of 137286388144640

• Binary: 11111001101110001111010011001011101101000000000₂
• Hexadecimal: 0x7CDC7A65DA00
• Base-36: 1CNWHUVDVK

Squares and roots of 137286388144640

• 137286388144640 squared (137286388144640²) is 18847552369800750341560729600
• 137286388144640 cubed (137286388144640³) is 2587512390216895268850619378832028729344000
• The square root of 137286388144640 is 11716927.4191077925
• The cube root of 137286388144640 is 51587.2637657419

Scales and comparisons

• 137,286,388,144,640 seconds is equal to 4,365,282 years, 25 weeks, 2 days, 17 hours, 57 minutes, 20 seconds.
• To count from 1 to 137,286,388,144,640 would take you about ten million, nine hundred thirteen thousand, two hundred six 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 137286388144640 cubic inches would be around 4298.9 feet tall.

Recreational maths with 137286388144640

• 137286388144640 backwards is 046441883682731
• The number of decimal digits it has is: 15
• The sum of 137286388144640's digits is 65
• More coming soon!