138822818601984

Names of 138822818601984

• Cardinal: 138822818601984 can be written as One hundred thirty-eight trillion, eight hundred twenty-two billion, eight hundred eighteen million, six hundred one thousand, nine hundred eighty-four.

Scientific notation

• Scientific notation: 1.38822818601984 × 10¹⁴

Factors of 138822818601984

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 17
• Sum of prime factors: 15358

Divisors of 138822818601984

• Number of divisors d(n): 528
• Complete list of divisors:
  1 2 3 4 6 8 11 12 16 22 24 29 32 33 44 48 58 64 66 87 88 96 116 121 128 132 174 176 192 232 242 256 264 319 348 352 363 384 464 484 512 528 638 696 704 726 768 841 928 957 968 1024 1056 1276 1392 1408 1452 1536 1682 1856 1914 1936 2112 2523 2552 2784 2816 2904 3072 3364 3509 3712 3828 3872 4224 5046 5104 5568 5632 5808 6728 7018 7424 7656 7744 8448 9251 10092 10208 10527 11136 11264 11616 13456 14036 14848 15312 15313 15488 16896 18502 20184 20416 21054 22272 23232 24389 26912 27753 28072 29696 30624 30626 30976 33792 37004 40368 40832 42108 44544 45939 46464 48778 53824 55506 56144 61248 61252 61952 73167 74008 80736 81664 84216 89088 91878 92928 97556 101761 107648 111012 112288 122496 122504 123904 146334 148016 161472 163328 168432 168443 183756 185856 195112 203522 215296 222024 224576 244992 245008 268279 292668 296032 305283 322944 326656 336864 336886 367512 371712 390224 407044 430592 444048 444077 449152 489984 490016 505329 536558 585336 592064 610566 645888 673728 673772 735024 780448 804837 814088 861184 888096 888154 898304 979968 980032 1010658 1073116 1170672 1184128 1221132 1291776 1332231 1347456 1347544 1470048 1560896 1609674 1628176 1776192 1776308 1796608 1852873 1960064 2021316 2146232 2341344 2368256 2442264 2583552 2664462 2694912 2695088 2940096 2951069 3121792 3219348 3256352 3552384 3552616 3593216 3705746 3920128 4042632 4292464 4682688 4736512 4884528 4884847 5328924 5389824 5390176 5558619 5880192 5902138 6243584 6438696 6512704 7104768 7105232 7411492 7840256 8085264 8584928 8853207 9365376 9473024 9769056 9769694 10657848 10779648 10780352 11117238 11760384 11804276 12487168 12877392 12878233 13025408 14209536 14210464 14654541 14822984 15680512 16170528 17169856 17706414 18730752 19538112 19539388 21315696 21560704 22234476 23520768 23608552 24974336 25754784 25756466 26050816 28419072 28420928 29309082 29645968 32341056 34339712 35412828 37461504 38634699 39076224 39078776 42631392 43121408 44468952 47041536 47217104 51509568 51512932 52101632 53733317 56841856 58618164 59291936 64682112 68679424 70825656 74923008 77269398 78152448 78157552 85262784 86242816 88937904 94434208 103019136 103025864 104203264 107466634 113683712 117236328 118583872 129364224 137358848 141651312 141660563 154538796 156304896 156315104 161199951 170525568 172485632 177875808 188868416 206038272 206051728 214933268 227367424 234472656 237167744 258728448 274717696 283302624 283321126 309077592 312609792 312630208 322399902 341051136 355751616 373468757 377736832 412076544 412103456 424981689 429866536 454734848 468945312 474335488 517456896 566605248 566642252 618155184 625260416 644799804 682102272 711503232 746937514 755473664 824153088 824206912 849963378 859733072 937890624 948670976 1120406271 1133210496 1133284504 1236310368 1250520832 1289599608 1364204544 1423006464 1493875028 1510947328 1558266193 1648413824 1699926756 1719466144 1875781248 1897341952 2240812542 2266420992 2266569008 2472620736 2501041664 2579199216 2846012928 2987750056 3021894656 3116532386 3296827648 3399853512 3438932288 3751562496 4108156327 4481625084 4532841984 4533138016 4674798579 4945241472 5002083328 5158398432 5692025856 5975500112 6233064772 6593655296 6799707024 6877864576 7503124992 8216312654 8963250168 9065683968 9066276032 9349597158 9890482944 10316796864 11951000224 12324468981 12466129544 13187310592 13599414048 13755729152 15006249984 16432625308 17926500336 18132552064 18699194316 19780965888 20633593728 23902000448 24648937962 24932259088 27198828096 27511458304 32865250616 35853000672 36265104128 37398388632 39561931776 41267187456 45189719597 47804000896 49297875924 49864518176 54397656192 55022916608 65730501232 71706001344 72530208256 74796777264 82534374912 90379439194 95608001792 98595751848 99729036352 108795312384 131461002464 135569158791 143412002688 145060416512 149593554528 165068749824 180758878388 191216003584 197191503696 199458072704 217590624768 262922004928 271138317582 286824005376 299187109056 361517756776 382432007168 394383007392 398916145408 435181249536 525844009856 542276635164 573648010752 598374218112 723035513552 788766014784 797832290816 1051688019712 1084553270328 1147296021504 1196748436224 1446071027104 1577532029568 1595664581632 2103376039424 2169106540656 2393496872448 2892142054208 3155064059136 4206752078848 4338213081312 4786993744896 5784284108416 6310128118272 8676426162624 11568568216832 12620256236544 17352852325248 23137136433664 34705704650496 46274272867328 69411409300992 138822818601984
• Sum of all divisors σ(n): 421261203286560
• Sum of proper divisors (its aliquot sum) s(n): 282438384684576
• 138822818601984 is an abundant number, because the sum of its proper divisors (282438384684576) is greater than itself. Its abundance is 143615566082592

Bases of 138822818601984

• Binary: 11111100100001000110100110010100001110000000000₂
• Hexadecimal: 0x7E4234CA1C00
• Base-36: 1D7IBLWA2O

Squares and roots of 138822818601984

• 138822818601984 squared (138822818601984²) is 19271774964599354904208736256
• 138822818601984 cubed (138822818601984³) is 2675362120048832869073754889931881294331904
• The square root of 138822818601984 is 11782309.5614562767
• The cube root of 138822818601984 is 51778.9953003551

Scales and comparisons

• 138,822,818,601,984 seconds is equal to 4,414,136 years, 11 weeks, 4 days, 16 hours, 6 minutes, 24 seconds.
• To count from 1 to 138,822,818,601,984 would take you about eleven million, thirty-five thousand, three hundred forty 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 138822818601984 cubic inches would be around 4314.9 feet tall.

Recreational maths with 138822818601984

• 138822818601984 backwards is 489106818228831
• The number of decimal digits it has is: 15
• The sum of 138822818601984's digits is 69
• More coming soon!