138116993774976

Names of 138116993774976

• Cardinal: 138116993774976 can be written as One hundred thirty-eight trillion, one hundred sixteen billion, nine hundred ninety-three million, seven hundred seventy-four thousand, nine hundred seventy-six.

Scientific notation

• Scientific notation: 1.38116993774976 × 10¹⁴

Factors of 138116993774976

• Number of distinct prime factors ω(n): 4
• Total number of prime factors Ω(n): 16
• Sum of prime factors: 1843

Divisors of 138116993774976

• Number of divisors d(n): 432
• Complete list of divisors:
  1 2 3 4 6 8 9 12 16 18 24 27 32 36 37 48 54 64 72 74 81 96 108 111 128 144 148 162 192 216 222 243 288 296 324 333 384 432 444 486 576 592 648 666 864 888 972 999 1152 1184 1296 1332 1369 1728 1776 1801 1944 1998 2368 2592 2664 2738 2997 3456 3552 3602 3888 3996 4107 4736 5184 5328 5403 5476 5994 7104 7204 7776 7992 8214 8991 10368 10656 10806 10952 11988 12321 14208 14408 15552 15984 16209 16428 17982 21312 21612 21904 23976 24642 28816 31104 31968 32418 32856 35964 36963 42624 43224 43808 47952 48627 49284 57632 63936 64836 65712 66637 71928 73926 86448 87616 95904 97254 98568 110889 115264 127872 129672 131424 133274 143856 145881 147852 172896 175232 191808 194508 197136 199911 221778 230528 259344 262848 266548 287712 291762 295704 332667 345792 383616 389016 394272 399822 437643 443556 518688 525696 533096 575424 583524 591408 599733 665334 691584 778032 788544 799644 875286 887112 1037376 1066192 1150848 1167048 1182816 1199466 1330668 1556064 1577088 1599288 1750572 1774224 1799199 2074752 2132384 2334096 2365632 2398932 2465569 2661336 3112128 3198576 3243601 3501144 3548448 3598398 4264768 4668192 4731264 4797864 4931138 5322672 5397597 6224256 6397152 6487202 7002288 7096896 7196796 7396707 8529536 9336384 9595728 9730803 9862276 10645344 10795194 12794304 12974404 14004576 14193792 14393592 14793414 16192791 18672768 19191456 19461606 19724552 21290688 21590388 22190121 25588608 25948808 28009152 28787184 29192409 29586828 32385582 38382912 38923212 39449104 42581376 43180776 44380242 51897616 56018304 57574368 58384818 59173656 64771164 66570363 76765824 77846424 78898208 86361552 87577227 88760484 103795232 115148736 116769636 118347312 120013237 129542328 133140726 155692848 157796416 172723104 175154454 177520968 199711089 207590464 230297472 233539272 236694624 240026474 259084656 262731681 266281452 311385696 315592832 345446208 350308908 355041936 360039711 399422178 415180928 467078544 473389248 480052948 518169312 525463362 532562904 599133267 622771392 690892416 700617816 710083872 720079422 788195043 798844356 934157088 946778496 960105896 1036338624 1050926724 1065125808 1080119133 1198266534 1245542784 1401235632 1420167744 1440158844 1576390086 1597688712 1868314176 1920211792 2072677248 2101853448 2130251616 2160238266 2396533068 2802471264 2840335488 2880317688 3152780172 3195377424 3240357399 3736628352 3840423584 4203706896 4260503232 4320476532 4440489769 4793066136 5604942528 5760635376 6305560344 6390754848 6480714798 7680847168 8407413792 8521006464 8640953064 8880979538 9586132272 9721072197 11209885056 11521270752 12611120688 12781509696 12961429596 13321469307 15361694336 16814827584 17281906128 17761959076 19172264544 19442144394 23042541504 25222241376 25563019392 25922859192 26642938614 29163216591 33629655168 34563812256 35523918152 38344529088 38884288788 39964407921 46085083008 50444482752 51845718384 53285877228 58326433182 69127624512 71047836304 76689058176 77768577576 79928815842 100888965504 103691436768 106571754456 116652866364 119893223763 138255249024 142095672608 155537155152 159857631684 207382873536 213143508912 233305732728 239786447526 284191345216 311074310304 319715263368 359679671289 414765747072 426287017824 466611465456 479572895052 568382690432 622148620608 639430526736 719359342578 852574035648 933222930912 959145790104 1079039013867 1244297241216 1278861053472 1438718685156 1705148071296 1866445861824 1918291580208 2158078027734 2557722106944 2877437370312 3732891723648 3836583160416 4316156055468 5115444213888 5754874740624 7673166320832 8632312110936 11509749481248 15346332641664 17264624221872 23019498962496 34529248443744 46038997924992 69058496887488 138116993774976
• Sum of all divisors σ(n): 423842297189220
• Sum of proper divisors (its aliquot sum) s(n): 285725303414244
• 138116993774976 is an abundant number, because the sum of its proper divisors (285725303414244) is greater than itself. Its abundance is 147608309639268

Bases of 138116993774976

• Binary: 11111011001110111011110010110011111010110000000₂
• Hexadecimal: 0x7D9DDE59F580
• Base-36: 1CYI2K0O00

Squares and roots of 138116993774976

• 138116993774976 squared (138116993774976²) is 19076303969436759134923800576
• 138116993774976 cubed (138116993774976³) is 2634761756596246820399178467035495243186176
• The square root of 138116993774976 is 11752318.6552686701
• The cube root of 138116993774976 is 51691.0918478619

Scales and comparisons

• 138,116,993,774,976 seconds is equal to 4,391,693 years, 9 weeks, 1 day, 20 hours, 9 minutes, 36 seconds.
• To count from 1 to 138,116,993,774,976 would take you about ten million, nine hundred seventy-nine thousand, two hundred thirty-two 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 138116993774976 cubic inches would be around 4307.6 feet tall.

Recreational maths with 138116993774976

• 138116993774976 backwards is 679477399611831
• 138116993774976 is a Harshad number.
• The number of decimal digits it has is: 15
• The sum of 138116993774976's digits is 81
• More coming soon!