137407477864730112

Names of 137407477864730112

• Cardinal: 137407477864730112 can be written as One hundred thirty-seven quadrillion, four hundred seven trillion, four hundred seventy-seven billion, eight hundred sixty-four million, seven hundred thirty thousand, one hundred twelve.

Scientific notation

• Scientific notation: 1.37407477864730112 × 10¹⁷

Factors of 137407477864730112

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 16
• Sum of prime factors: 11081133870

Divisors of 137407477864730112

• Number of divisors d(n): 400
• Complete list of divisors:
  1 2 3 4 6 8 9 12 13 16 18 23 24 26 27 32 36 39 46 48 52 54 64 69 72 78 81 92 96 104 108 117 128 138 144 156 162 184 192 207 208 216 234 256 276 288 299 312 324 351 368 384 414 416 432 468 512 552 576 598 621 624 648 702 736 768 828 832 864 897 936 1053 1104 1152 1196 1242 1248 1296 1404 1472 1536 1656 1664 1728 1794 1863 1872 2106 2208 2304 2392 2484 2496 2592 2691 2808 2944 3312 3328 3456 3588 3726 3744 4212 4416 4608 4784 4968 4992 5184 5382 5616 5888 6624 6656 6912 7176 7452 7488 8073 8424 8832 9568 9936 9984 10368 10764 11232 11776 13248 13824 14352 14904 14976 16146 16848 17664 19136 19872 19968 20736 21528 22464 24219 26496 28704 29808 29952 32292 33696 35328 38272 39744 41472 43056 44928 48438 52992 57408 59616 59904 64584 67392 76544 79488 86112 89856 96876 105984 114816 119232 129168 134784 153088 158976 172224 179712 193752 229632 238464 258336 269568 317952 344448 387504 459264 476928 516672 539136 688896 775008 953856 1033344 1377792 1550016 2066688 3100032 4133376 6200064 12400128 11081133829 22162267658 33243401487 44324535316 66486802974 88649070632 99730204461 132973605948 144054739777 177298141264 199460408922 254866078067 265947211896 288109479554 299190613383 354596282528 398920817844 432164219331 509732156134 531894423792 576218959108 598381226766 709192565056 764598234201 797841635688 864328438662 897571840149 1019464312268 1063788847584 1152437918216 1196762453532 1296492657993 1418385130112 1529196468402 1595683271376 1728656877324 1795143680298 2038928624536 2127577695168 2293794702603 2304875836432 2393524907064 2592985315986 2836770260224 3058392936804 3191366542752 3313259014871 3457313754648 3590287360596 3889477973979 4077857249072 4255155390336 4587589405206 4609751672864 4787049814128 5185970631972 5673540520448 6116785873608 6382733085504 6626518029742 6881384107809 6914627509296 7180574721192 7778955947958 8155714498144 8510310780672 9175178810412 9219503345728 9574099628256 9939777044613 10371941263944 11668433921937 12233571747216 12765466171008 13253036059484 13762768215618 13829255018592 14361149442384 15557911895916 16311428996288 17020621561344 18350357620824 18439006691456 19148199256512 19879554089226 20644152323427 20743882527888 23336867843874 24467143494432 25530932342016 26506072118968 27525536431236 27658510037184 28722298884768 29819331133839 31115823791832 32622857992576 36700715241648 36878013382912 38296398513024 39759108178452 41288304646854 41487765055776 46673735687748 48934286988864 51061864684032 53012144237936 55051072862472 55317020074368 57444597769536 59638662267678 62231647583664 65245715985152 73401430483296 73756026765824 76592797026048 79518216356904 82576609293708 82975530111552 89457993401517 93347471375496 97868573977728 106024288475872 110102145724944 110634040148736 114889195539072 119277324535356 124463295167328 130491431970304 146802860966592 153185594052096 159036432713808 165153218587416 165951060223104 178915986803034 186694942750992 195737147955456 212048576951744 220204291449888 221268080297472 229778391078144 238554649070712 248926590334656 268373980204551 293605721933184 318072865427616 330306437174832 331902120446208 357831973606068 373389885501984 391474295910912 424097153903488 440408582899776 459556782156288 477109298141424 497853180669312 536747960409102 587211443866368 636145730855232 660612874349664 663804240892416 715663947212136 746779771003968 848194307806976 880817165799552 954218596282848 995706361338624 1073495920818204 1174422887732736 1272291461710464 1321225748699328 1431327894424272 1493559542007936 1696388615613952 1761634331599104 1908437192565696 1991412722677248 2146991841636408 2544582923420928 2642451497398656 2862655788848544 2987119084015872 3523268663198208 3816874385131392 4293983683272816 5089165846841856 5284902994797312 5725311577697088 5974238168031744 7633748770262784 8587967366545632 10569805989594624 11450623155394176 15267497540525568 17175934733091264 22901246310788352 34351869466182528 45802492621576704 68703738932365056 137407477864730112
• Sum of all divisors σ(n): 460876412263307040
• Sum of proper divisors (its aliquot sum) s(n): 323468934398576928
• 137407477864730112 is an abundant number, because the sum of its proper divisors (323468934398576928) is greater than itself. Its abundance is 186061456533846816

Bases of 137407477864730112

• Binary: 111101000001010110101111110000011100111000000111000000000₂
• Hexadecimal: 0x1E82B5F839C0E00
• Base-36: 11KYVVW4PS00

Squares and roots of 137407477864730112

• 137407477864730112 squared (137407477864730112²) is 18880814973146295699453014599532544
• 137407477864730112 cubed (137407477864730112³) is 2594365165490664490337862288739055903822899920764928
• The square root of 137407477864730112 is 370685146.5391216777
• The cube root of 137407477864730112 is 516024.2635575999

Scales and comparisons

• 137,407,477,864,730,112 seconds is equal to 4,369,132,766 years, 44 weeks, 6 days, 1 hour, 55 minutes, 12 seconds.
• To count from 1 to 137,407,477,864,730,112 would take you about thirteen billion, one hundred seven million, three hundred ninety-eight thousand, three hundred 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 137407477864730112 cubic inches would be around 43002 feet tall.

Recreational maths with 137407477864730112

• 137407477864730112 backwards is 211037468774704731
• 137407477864730112 is a Harshad number.
• The number of decimal digits it has is: 18
• The sum of 137407477864730112's digits is 72
• More coming soon!