137390013052116493824

Names of 137390013052116493824

• Cardinal: 137390013052116493824 can be written as One hundred thirty-seven quintillion, three hundred ninety quadrillion, thirteen trillion, fifty-two billion, one hundred sixteen million, four hundred ninety-three thousand, eight hundred twenty-four.

Scientific notation

• Scientific notation: 1.37390013052116493824 × 10²⁰

Factors of 137390013052116493824

• Number of distinct prime factors ω(n): 3
• Total number of prime factors Ω(n): 23
• Sum of prime factors: 7968

Divisors of 137390013052116493824

• Number of divisors d(n): 390
• Complete list of divisors:
  1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 243 256 288 324 384 432 486 512 576 648 729 768 864 972 1152 1296 1458 1536 1728 1944 2187 2304 2592 2916 3456 3888 4374 4608 5184 5832 6561 6912 7776 7963 8748 10368 11664 13122 13824 15552 15926 17496 19683 20736 23328 23889 26244 31104 31852 34992 39366 41472 46656 47778 52488 59049 62208 63704 69984 71667 78732 93312 95556 104976 118098 124416 127408 139968 143334 157464 177147 186624 191112 209952 215001 236196 254816 279936 286668 314928 354294 373248 382224 419904 430002 472392 509632 531441 559872 573336 629856 645003 708588 764448 839808 860004 944784 1019264 1062882 1119744 1146672 1259712 1290006 1417176 1528896 1679616 1720008 1889568 1935009 2038528 2125764 2293344 2519424 2580012 2834352 3057792 3359232 3440016 3779136 3870018 4077056 4251528 4586688 5038848 5160024 5668704 5805027 6115584 6880032 7558272 7740036 8503056 9173376 10077696 10320048 11337408 11610054 12231168 13760064 15116544 15480072 17006112 17415081 18346752 20640096 22674816 23220108 27520128 30233088 30960144 34012224 34830162 36693504 41280192 45349632 46440216 52245243 55040256 61920288 63409369 68024448 69660324 82560384 90699264 92880432 104490486 110080512 123840576 126818738 136048896 139320648 156735729 165120768 185760864 190228107 208980972 247681152 253637476 272097792 278641296 313471458 330241536 371521728 380456214 417961944 470207187 495362304 507274952 557282592 570684321 626942916 743043456 760912428 835923888 940414374 990724608 1014549904 1114565184 1141368642 1253885832 1410621561 1486086912 1521824856 1671847776 1712052963 1880828748 2029099808 2229130368 2282737284 2507771664 2821243122 2972173824 3043649712 3343695552 3424105926 3761657496 4058199616 4231864683 4458260736 4565474568 5015543328 5136158889 5642486244 6087299424 6687391104 6848211852 7523314992 8116399232 8463729366 8916521472 9130949136 10031086656 10272317778 11284972488 12174598848 13374782208 13696423704 15046629984 15408476667 16232798464 16927458732 18261898272 20062173312 20544635556 22569944976 24349197696 26749564416 27392847408 30093259968 30816953334 32465596928 33854917464 36523796544 40124346624 41089271112 45139889952 46225430001 48698395392 54785694816 60186519936 61633906668 67709834928 73047593088 80248693248 82178542224 90279779904 92450860002 97396790784 109571389632 120373039872 123267813336 135419669856 138676290003 146095186176 164357084448 180559559808 184901720004 219142779264 240746079744 246535626672 270839339712 277352580006 292190372352 328714168896 361119119616 369803440008 416028870009 438285558528 493071253344 541678679424 554705160012 657428337792 722238239232 739606880016 832057740018 876571117056 986142506688 1083357358848 1109410320024 1248086610027 1314856675584 1479213760032 1664115480036 1972285013376 2166714717696 2218820640048 2496173220054 2629713351168 2958427520064 3328230960072 3744259830081 3944570026752 4437641280096 4992346440108 5916855040128 6656461920144 7488519660162 7889140053504 8875282560192 9984692880216 11232779490243 11833710080256 13312923840288 14977039320324 17750565120384 19969385760432 22465558980486 23667420160512 26625847680576 29954078640648 33698338470729 35501130240768 39938771520864 44931117960972 53251695361152 59908157281296 67396676941458 71002260481536 79877543041728 89862235921944 106503390722304 119816314562592 134793353882916 159755086083456 179724471843888 213006781444608 239632629125184 269586707765832 319510172166912 359448943687776 479265258250368 539173415531664 639020344333824 718897887375552 958530516500736 1078346831063328 1437795774751104 1917061033001472 2156693662126656 2875591549502208 4313387324253312 5751183099004416 8626774648506624 17253549297013248
• Sum of all divisors σ(n): 137424476065376700675
• Sum of proper divisors (its aliquot sum) s(n): 34463013260206851
• 137390013052116493824 is a deficient number, because the sum of its proper divisors (34463013260206851) is less than itself. Its deficiency is 137355550038856286973

Bases of 137390013052116493824

• Binary: 1110111001010101011011000001111001010001001101011110110011000000000₂
• Hexadecimal: 0x772AB60F289AF6600
• Base-36: SZTP2YKDI0000

Squares and roots of 137390013052116493824

• 137390013052116493824 squared (137390013052116493824²) is 18876015686460740530703688352507030142976
• 137390013052116493824 cubed (137390013052116493824³) is 2593376041534796820448164946185774710332317870050990540980224
• The square root of 137390013052116493824 is 11721348602.1070328809
• 137390013052116493824 is a perfect cube number. Its cube root is 5160024

Scales and comparisons

• 137,390,013,052,116,493,824 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
• To count from 1 to 137,390,013,052,116,493,824 would take you about two hundred ninety-three billion, two hundred seventy-four million, seven hundred one thousand and nine 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 137390013052116493824 cubic inches would be around 430002 feet tall.

Recreational maths with 137390013052116493824

• 137390013052116493824 backwards is 428394611250310093731
• 137390013052116493824 is a Harshad number.
• The number of decimal digits it has is: 21
• The sum of 137390013052116493824's digits is 72
• More coming soon!