137728103694336

Names of 137728103694336

• Cardinal: 137728103694336 can be written as One hundred thirty-seven trillion, seven hundred twenty-eight billion, one hundred three million, six hundred ninety-four thousand, three hundred thirty-six.

Scientific notation

• Scientific notation: 1.37728103694336 × 10¹⁴

Factors of 137728103694336

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 21
• Sum of prime factors: 594

Divisors of 137728103694336

• Number of divisors d(n): 720
• Complete list of divisors:
  1 2 3 4 6 8 9 12 16 18 24 27 31 32 36 37 48 54 62 64 72 74 93 96 108 111 124 128 144 148 186 192 216 222 248 256 279 288 296 333 372 384 432 444 496 512 521 558 576 592 666 744 768 837 864 888 992 999 1024 1042 1116 1147 1152 1184 1332 1488 1536 1563 1674 1728 1776 1984 1998 2048 2084 2232 2294 2304 2368 2664 2976 3072 3126 3348 3441 3456 3552 3968 3996 4096 4168 4464 4588 4608 4689 4736 5328 5952 6144 6252 6696 6882 6912 7104 7936 7992 8192 8336 8928 9176 9216 9378 9472 10323 10656 11904 12288 12504 13392 13764 13824 14067 14208 15872 15984 16151 16384 16672 17856 18352 18432 18756 18944 19277 20646 21312 23808 24576 25008 26784 27528 27648 28134 28416 30969 31744 31968 32302 33344 35712 36704 36864 37512 37888 38554 41292 42624 47616 48453 49152 50016 53568 55056 55296 56268 56832 57831 61938 63488 63936 64604 66688 71424 73408 73728 75024 75776 77108 82584 85248 95232 96906 100032 107136 110112 110592 112536 113664 115662 123876 126976 127872 129208 133376 142848 145359 146816 147456 150048 151552 154216 165168 170496 173493 190464 193812 200064 214272 220224 221184 225072 227328 231324 247752 253952 255744 258416 266752 271441 285696 290718 293632 300096 303104 308432 330336 340992 346986 380928 387624 400128 428544 436077 440448 442368 450144 454656 462648 495504 507904 511488 516832 520479 533504 542882 571392 581436 587264 597587 600192 606208 616864 660672 681984 693972 761856 775248 800256 814323 857088 872154 880896 900288 909312 925296 991008 1022976 1033664 1040958 1067008 1085764 1142784 1162872 1174528 1195174 1200384 1233728 1321344 1363968 1387944 1523712 1550496 1600512 1628646 1714176 1744308 1761792 1792761 1800576 1818624 1850592 1982016 2045952 2067328 2081916 2134016 2171528 2285568 2325744 2349056 2390348 2400768 2442969 2467456 2642688 2727936 2775888 3100992 3201024 3257292 3428352 3488616 3523584 3585522 3601152 3701184 3964032 4091904 4134656 4163832 4268032 4343056 4571136 4651488 4698112 4780696 4801536 4885938 4934912 5285376 5378283 5455872 5551776 6201984 6402048 6514584 6856704 6977232 7047168 7171044 7202304 7328907 7402368 7928064 8183808 8269312 8327664 8414671 8536064 8686112 9302976 9396224 9561392 9603072 9771876 9869824 10043317 10570752 10756566 11103552 12403968 12804096 13029168 13713408 13954464 14094336 14342088 14404608 14657814 14804736 15856128 16134849 16367616 16538624 16655328 16829342 17372224 18605952 18792448 19122784 19206144 19543752 19739648 20086634 21141504 21513132 22207104 24807936 25244013 25608192 26058336 27908928 28188672 28684176 28809216 29315628 29609472 30129951 31712256 32269698 33077248 33310656 33658684 34744448 37211904 38245568 38412288 39087504 39479296 40173268 42283008 43026264 44414208 49615872 50488026 52116672 55817856 56377344 57368352 57618432 58631256 59218944 60259902 63424512 64539396 66154496 66621312 67317368 69488896 74423808 75732039 76491136 76824576 78175008 78958592 80346536 84566016 86052528 88828416 90389853 99231744 100976052 104233344 111635712 114736704 115236864 117262512 118437888 120519804 126849024 129078792 132308992 133242624 134634736 138977792 148847616 151464078 152982272 156350016 157917184 160693072 169132032 172105056 177656832 180779706 198463488 201952104 208466688 223271424 227196117 229473408 230473728 234525024 236875776 241039608 253698048 258157584 264617984 266485248 269269472 271169559 277955584 297695232 302928156 305964544 311342827 312700032 315834368 321386144 344210112 355313664 361559412 396926976 403904208 416933376 446542848 454392234 458946816 469050048 473751552 482079216 507396096 516315168 532970496 538538944 542339118 555911168 595390464 605856312 611929088 622685654 625400064 642772288 688420224 710627328 723118824 793853952 807808416 833866752 893085696 908784468 917893632 934028481 938100096 947503104 964158432 1032630336 1065940992 1077077888 1084678236 1111822336 1190780928 1211712624 1223858176 1245371308 1250800128 1285544576 1376840448 1421254656 1446237648 1615616832 1667733504 1786171392 1817568936 1835787264 1868056962 1876200192 1928316864 2065260672 2131881984 2154155776 2169356472 2223644672 2381561856 2423425248 2447716352 2490742616 2501600256 2571089152 2753680896 2802085443 2842509312 2892475296 3231233664 3335467008 3572342784 3635137872 3671574528 3736113924 3752400384 3856633728 4130521344 4263763968 4308311552 4338712944 4447289344 4846850496 4895432704 4981485232 5003200512 5142178304 5507361792 5604170886 5784950592 6462467328 6670934016 7144685568 7270275744 7343149056 7472227848 7504800768 7713267456 8261042688 8406256329 8527527936 8616623104 8677425888 9693700992 9790865408 9962970464 10006401024 10284356608 11014723584 11208341772 11569901184 12924934656 13341868032 14540551488 14686298112 14944455696 15009601536 15426534912 16522085376 16812512658 17233246208 17354851776 19387401984 19925940928 20012802048 20568713216 22029447168 22416683544 23139802368 25849869312 29081102976 29372596224 29888911392 30019203072 30853069824 33044170752 33625025316 34466492416 34709703552 38774803968 39851881856 40025604096 41137426432 44058894336 44833367088 46279604736 51699738624 58162205952 59777822784 60038406144 61706139648 66088341504 67250050632 68932984832 69419407104 77549607936 79703763712 82274852864 88117788672 89666734176 92559209472 103399477248 116324411904 119555645568 120076812288 123412279296 132176683008 134500101264 137865969664 138838814208 155099215872 159407527424 164549705728 179333468352 185118418944 206798954496 232648823808 239111291136 246824558592 264353366016 269000202528 277677628416 310198431744 318815054848 358666936704 370236837888 413597908992 465297647616 478222582272 493649117184 538000405056 555355256832 620396863488 637630109696 717333873408 740473675776 930595295232 956445164544 1076000810112 1110710513664 1240793726976 1275260219392 1434667746816 1480947351552 1861190590464 1912890329088 2152001620224 2221421027328 2550520438784 2869335493632 3722381180928 3825780658176 4304003240448 4442842054656 5101040877568 5738670987264 7651561316352 8608006480896 11477341974528 15303122632704 17216012961792 22954683949056 34432025923584 45909367898112 68864051847168 137728103694336
• Sum of all divisors σ(n): 433451061245440
• Sum of proper divisors (its aliquot sum) s(n): 295722957551104
• 137728103694336 is an abundant number, because the sum of its proper divisors (295722957551104) is greater than itself. Its abundance is 157994853856768

Bases of 137728103694336

• Binary: 11111010100001101010010101100100100000000000000₂
• Hexadecimal: 0x7D4352B24000
• Base-36: 1CTJF0WLC0

Squares and roots of 137728103694336

• 137728103694336 squared (137728103694336²) is 18969030547237769731318480896
• 137728103694336 cubed (137728103694336³) is 2612568606190990709092198146812569039405056
• The square root of 137728103694336 is 11735761.7432502437
• The cube root of 137728103694336 is 51642.5314479241

Scales and comparisons

• 137,728,103,694,336 seconds is equal to 4,379,327 years, 35 weeks, 1 day, 5 hours, 45 minutes, 36 seconds.
• To count from 1 to 137,728,103,694,336 would take you about ten million, nine hundred forty-eight thousand, three hundred nineteen 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 137728103694336 cubic inches would be around 4303.5 feet tall.

Recreational maths with 137728103694336

• 137728103694336 backwards is 633496301827731
• The number of decimal digits it has is: 15
• The sum of 137728103694336's digits is 63
• More coming soon!