131071870391168

Names of 131071870391168

• Cardinal: 131071870391168 can be written as One hundred thirty-one trillion, seventy-one billion, eight hundred seventy million, three hundred ninety-one thousand, one hundred sixty-eight.

Scientific notation

• Scientific notation: 1.31071870391168 × 10¹⁴

Factors of 131071870391168

• Number of distinct prime factors ω(n): 7
• Total number of prime factors Ω(n): 14
• Sum of prime factors: 1352

Divisors of 131071870391168

• Number of divisors d(n): 768
• Complete list of divisors:
  1 2 4 7 8 14 16 19 28 31 32 38 49 56 62 64 76 98 112 124 127 128 133 152 196 217 224 248 254 266 304 337 392 434 448 496 508 532 589 608 674 784 829 868 889 896 931 992 1016 1064 1178 1216 1348 1519 1568 1658 1736 1778 1862 1984 2032 2128 2356 2359 2413 2432 2696 3038 3136 3316 3472 3556 3724 3937 3968 4064 4123 4256 4712 4718 4826 5392 5803 6076 6223 6272 6403 6632 6944 7112 7448 7874 8128 8246 8512 9424 9436 9652 10447 10784 11606 12152 12446 12806 13264 13888 14224 14896 15748 15751 16256 16492 16513 16891 17024 18848 18872 19304 20894 21568 23212 24304 24892 25612 25699 26528 27559 27776 28448 28861 29792 31496 31502 32984 33026 33782 37696 37744 38608 40621 41788 42799 43136 44821 46424 48608 49784 51224 51398 53056 55118 56896 57722 59584 62992 63004 65968 66052 67564 73129 74803 75392 75488 77216 81242 83576 85598 89642 92848 97216 99568 102448 102796 105283 106112 110236 110257 113792 115444 118237 119168 125984 126008 131936 132104 135128 146258 149606 150976 154432 162484 167152 171196 179284 179893 185696 192913 194432 198493 199136 204896 205592 210566 220472 220514 230888 236474 251968 252016 263872 264208 270256 279373 292516 299212 299593 301952 308864 313747 324968 334304 342392 358568 359786 371392 385826 396986 398272 409792 411184 421132 440944 441028 461776 472948 488281 503936 504032 511903 523621 527744 528416 540512 558746 585032 598424 599186 627494 649936 668608 684784 717136 719572 736981 742784 771652 771799 793972 796544 813181 819584 822368 842264 881888 882056 923552 945896 976562 1008064 1023806 1047242 1056832 1081024 1117492 1170064 1196848 1198372 1254988 1259251 1299872 1326769 1337216 1369568 1389451 1434272 1439144 1473962 1543304 1543598 1587944 1626362 1644736 1684528 1763776 1764112 1847104 1891792 1953124 1955611 2000377 2016128 2047612 2094484 2097151 2113664 2162048 2234984 2340128 2393696 2396744 2509976 2518502 2599744 2653538 2739136 2778902 2868544 2878288 2947924 3086608 3087196 3175888 3252724 3263773 3289472 3369056 3417967 3527552 3528224 3665347 3694208 3783584 3906248 3911222 4000754 4095224 4188968 4194302 4469968 4680256 4787392 4793488 5019952 5037004 5158867 5199488 5307076 5308087 5478272 5557804 5692267 5737088 5756576 5895848 6173216 6174392 6351776 6505448 6527546 6738112 6835934 7056448 7330694 7567168 7812496 7822444 8001508 8190448 8377936 8388604 8660563 8939936 9287383 9360512 9574784 9586976 9726157 10039904 10074008 10317734 10614152 10616174 11115608 11384534 11513152 11791696 12346432 12348784 12703552 13010896 13055092 13476224 13671868 13689277 14002639 14112896 14661388 15134336 15624992 15644888 16003016 16380896 16755872 16777208 17321126 17879872 18574766 19173952 19452314 20079808 20148016 20635468 21228304 21232348 22231216 22769068 22846411 23026304 23583392 23925769 24692864 24697568 25208611 25407104 26021792 26110184 27343736 27378554 28005278 29322776 31249984 31289776 32006032 32761792 33511744 33554416 34642252 35480371 35759744 37149532 37156609 38347904 38904628 39845869 40159616 40296032 41270936 42456608 42464696 44462432 45538136 45692822 47166784 47851538 49395136 50417222 52043584 52220368 54687472 54757108 56010556 58645552 60623941 62011687 62499968 62579552 64012064 65011681 65523584 67023488 67108832 69284504 70960742 74299064 74313218 77809256 79691738 80592064 82541872 84913216 84929392 88924864 91076272 91385644 94333568 95703076 98018473 98790272 100834444 104087168 104440736 109374944 109514216 112021112 117291104 121247882 124023374 125159104 128024128 130023362 134217664 138569008 141921484 148598128 148626436 155618512 159383476 159924877 161184128 164550697 165083744 169826432 169858784 176460277 177849728 182152544 182771288 191406152 196036946 201668888 208881472 218749888 219028432 224042224 234582208 242495764 248046748 248362597 250318208 256048256 260046724 260096263 268435328 277138016 283842968 297196256 297252872 311237024 318766952 319849754 329101394 330167488 339717568 352920554 364305088 365542576 382812304 392073892 403337776 417762944 424367587 434081809 437499776 438056864 448084448 469164416 484991528 496093496 496725194 520093448 520192526 554276032 567685936 594392512 594505744 622474048 637533904 639699508 658202788 660334976 674127049 679435136 705841108 728610176 731085152 765624608 784147784 806675552 848735174 868163618 876113728 896168896 969983056 992186992 993450388 1040186896 1040385052 1099891501 1108552064 1135371872 1151854879 1188785024 1189011488 1235221939 1244948096 1275067808 1279399016 1316405576 1348254098 1411682216 1462170304 1531249216 1568295568 1613351104 1697470348 1736327236 1738538179 1752227456 1792337792 1939966112 1984373984 1986900776 2080373792 2080770104 2199783002 2270743744 2303709758 2378022976 2470443878 2550135616 2558798032 2632811152 2696508196 2823364432 2924340608 3038572663 3062498432 3136591136 3226702208 3394940696 3472654472 3477076358 3879932224 3968747968 3973801552 4160747584 4161540208 4399566004 4541487488 4607419516 4718889343 4756045952 4940887756 5100271232 5117596064 5265622304 5393016392 5646728864 6077145326 6273182272 6789881392 6945308944 6954152716 7699240507 7759864448 7937495936 7947603104 8062984153 8321495168 8323080416 8799132008 9214839032 9437778686 9881775512 10235192128 10531244608 10786032784 11293457728 12154290652 12546364544 13579762784 13890617888 13908305432 15398481014 15895206208 16125968306 16646160832 17598264016 18429678064 18875557372 19763551024 20470384256 20897938519 21062489216 21572065568 22586915456 24308581304 27159525568 27781235776 27816610864 30796962028 31790412416 32251936612 33032225401 33292321664 35196528032 36859356128 37751114744 39527102048 41795877038 43144131136 48617162608 53894683549 54319051136 55562471552 55633221728 61593924056 64503873224 66064450802 70393056064 73718712256 75502229488 79054204096 83591754076 86288262272 97234325216 107789367098 111266443456 123187848112 129007746448 132128901604 140786112128 146285569633 147437424512 151004458976 158108408192 167183508152 194468650432 215578734196 222532886912 246375696224 258015492896 264257803208 292571139266 302008917952 334367016304 388937300864 431157468392 492751392448 516030985792 528515606416 585142278532 604017835904 668734032608 862314936784 985502784896 1023998987431 1032061971584 1057031212832 1170284557064 1337468065216 1724629873568 2047997974862 2114062425664 2340569114128 2674936130432 3449259747136 4095995949724 4228124851328 4681138228256 6898519494272 8191991899448 9362276456512 16383983798896 18724552913024 32767967597792 65535935195584 131071870391168
• Sum of all divisors σ(n): 334040997888000
• Sum of proper divisors (its aliquot sum) s(n): 202969127496832
• 131071870391168 is an abundant number, because the sum of its proper divisors (202969127496832) is greater than itself. Its abundance is 71897257105664

Bases of 131071870391168

• Binary: 11101110011010110001100010001100101001110000000₂
• Hexadecimal: 0x77358C465380
• Base-36: 1AGLL3GEBK

Squares and roots of 131071870391168

• 131071870391168 squared (131071870391168²) is 17179835207839142641332404224
• 131071870391168 cubed (131071870391168³) is 2251793133703516863776199261960292775493632
• The square root of 131071870391168 is 11448662.3843647341
• The cube root of 131071870391168 is 50796.8169197155

Scales and comparisons

• 131,071,870,391,168 seconds is equal to 4,167,680 years, 2 weeks, 2 days, 22 hours, 26 minutes, 8 seconds.
• To count from 1 to 131,071,870,391,168 would take you about ten million, four hundred nineteen thousand, two 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 131071870391168 cubic inches would be around 4233.1 feet tall.

Recreational maths with 131071870391168

• 131071870391168 backwards is 861193078170131
• 131071870391168 is a Harshad number.
• The number of decimal digits it has is: 15
• The sum of 131071870391168's digits is 56
• More coming soon!