137138958049536

Names of 137138958049536

• Cardinal: 137138958049536 can be written as One hundred thirty-seven trillion, one hundred thirty-eight billion, nine hundred fifty-eight million, forty-nine thousand, five hundred thirty-six.

Scientific notation

• Scientific notation: 1.37138958049536 × 10¹⁴

Factors of 137138958049536

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 14
• Sum of prime factors: 13925

Divisors of 137138958049536

• Number of divisors d(n): 432
• Complete list of divisors:
  1 2 3 4 6 8 9 12 16 18 19 24 32 36 38 48 57 64 71 72 76 96 114 128 142 144 152 171 192 213 228 256 284 288 304 342 384 426 456 568 576 608 639 684 768 852 912 1136 1152 1216 1278 1349 1368 1704 1824 2272 2304 2432 2556 2698 2736 3408 3648 4047 4544 4864 4993 5112 5396 5472 6816 7296 8094 8837 9088 9986 10224 10792 10944 12141 13632 14592 14979 16188 17674 18176 19972 20448 21584 21888 24282 26511 27264 29958 32376 35348 39944 40896 43168 43776 44937 48564 53022 54528 59916 64752 70696 79533 79888 81792 86336 89874 94867 97128 106044 119832 129504 141392 159066 159776 163584 167903 172672 179748 189734 194256 212088 239664 259008 282784 284601 318132 319552 335806 345344 354503 359496 379468 388512 424176 479328 503709 518016 565568 569202 627427 636264 639104 671612 709006 718992 758936 777024 848352 853803 958656 1007418 1036032 1063509 1131136 1138404 1254854 1272528 1278208 1343224 1418012 1437984 1511127 1517872 1554048 1696704 1707606 1882281 1917312 2014836 2127018 2262272 2276808 2509708 2545056 2686448 2836024 2875968 3022254 3035744 3108096 3190527 3393408 3415212 3764562 3834624 4029672 4254036 4553616 5019416 5090112 5372896 5646843 5672048 5751936 6044508 6071488 6381054 6735557 6786816 6830424 7529124 8059344 8508072 9107232 10038832 10180224 10745792 11293686 11344096 11503872 11921113 12089016 12142976 12762108 13471114 13660848 15058248 16118688 17016144 18214464 20077664 20206671 20360448 21491584 22587372 22688192 23842226 24178032 24285952 25524216 26942228 27321696 30116496 32237376 34032288 35763339 36428928 40155328 40413342 42983168 44123141 45174744 45376384 47684452 48356064 51048432 53884456 54643392 60232992 60620013 64474752 68064576 71526678 72857856 80310656 80826684 88246282 90349488 90752768 95368904 96712128 102096864 107290017 107768912 109286784 120465984 121240026 128949504 132369423 136129152 143053356 160621312 161653368 176492564 180698976 190737808 193424256 204193728 214580034 215537824 218573568 240931968 242480052 264738846 272258304 286106712 323306736 352985128 361397952 381475616 386848512 397108269 408387456 429160068 431075648 481863936 484960104 529477692 572213424 646613472 705970256 722795904 762951232 794216538 816774912 838339679 858320136 862151296 969920208 1058955384 1144426848 1293226944 1411940512 1445591808 1525902464 1588433076 1676679358 1716640272 1724302592 1939840416 2117910768 2288853696 2515019037 2586453888 2823881024 3051804928 3132743011 3176866152 3353358716 3433280544 3879680832 4235821536 4577707392 5030038074 5172907776 5647762048 6265486022 6353732304 6706717432 6866561088 7545057111 7759361664 8471643072 9155414784 9398229033 10060076148 11295524096 12530972044 12707464608 13413434864 13733122176 15090114222 15518723328 16943286144 18796458066 20120152296 25061944088 25414929216 26826869728 27466244352 28194687099 30180228444 33886572288 37592916132 40240304592 50123888176 50829858432 53653739456 56389374198 59522117209 60360456888 75185832264 80480609184 100247776352 101659716864 107307478912 112778748396 119044234418 120720913776 150371664528 160961218368 178566351627 200495552704 214614957824 225557496792 238088468836 241441827552 300743329056 321922436736 357132703254 400991105408 451114993584 476176937672 482883655104 535699054881 601486658112 643844873472 714265406508 801982210816 902229987168 952353875344 965767310208 1071398109762 1202973316224 1428530813016 1804459974336 1904707750688 1931534620416 2142796219524 2405946632448 2857061626032 3608919948672 3809415501376 4285592439048 5714123252064 7217839897344 7618831002752 8571184878096 11428246504128 15237662005504 17142369756192 22856493008256 34284739512384 45712986016512 68569479024768 137138958049536
• Sum of all divisors σ(n): 422210743194240
• Sum of proper divisors (its aliquot sum) s(n): 285071785144704
• 137138958049536 is an abundant number, because the sum of its proper divisors (285071785144704) is greater than itself. Its abundance is 147932827095168

Bases of 137138958049536

• Binary: 11111001011101000100110111000010010000100000000₂
• Hexadecimal: 0x7CBA26E12100
• Base-36: 1CM0RMSSG0

Squares and roots of 137138958049536

• 137138958049536 squared (137138958049536²) is 18807093814912394849429815296
• 137138958049536 cubed (137138958049536³) is 2579185249716958890150872155087256898502656
• The square root of 137138958049536 is 11710634.3999604053
• The cube root of 137138958049536 is 51568.7908507893

Scales and comparisons

• 137,138,958,049,536 seconds is equal to 4,360,594 years, 34 weeks, 4 days, 21 hours, 45 minutes, 36 seconds.
• To count from 1 to 137,138,958,049,536 would take you about ten million, nine hundred one thousand, four hundred eighty-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 137138958049536 cubic inches would be around 4297.4 feet tall.

Recreational maths with 137138958049536

• 137138958049536 backwards is 635940859831731
• 137138958049536 is a Harshad number.
• The number of decimal digits it has is: 15
• The sum of 137138958049536's digits is 72
• More coming soon!