138306322870672

Names of 138306322870672

• Cardinal: 138306322870672 can be written as One hundred thirty-eight trillion, three hundred six billion, three hundred twenty-two million, eight hundred seventy thousand, six hundred seventy-two.

Scientific notation

• Scientific notation: 1.38306322870672 × 10¹⁴

Factors of 138306322870672

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 12
• Sum of prime factors: 643

Divisors of 138306322870672

• Number of divisors d(n): 540
• Complete list of divisors:
  1 2 4 8 11 16 17 19 22 34 38 44 68 76 88 127 136 152 176 187 209 254 272 289 304 323 361 374 418 467 508 578 646 722 748 836 934 1016 1156 1292 1397 1444 1496 1672 1868 2032 2159 2312 2413 2584 2794 2888 2992 3179 3344 3553 3736 3971 4318 4624 4826 5137 5168 5491 5588 5776 6137 6358 7106 7472 7939 7942 8636 8873 9652 10274 10982 11176 12274 12716 14212 15878 15884 16129 17272 17746 19304 20548 21964 22352 23749 24548 25432 26543 28424 31756 31768 32258 34544 35492 36703 38608 41021 41096 43928 45847 47498 49096 50864 53086 56848 59309 60401 63512 63536 64516 67507 70984 73406 82042 82192 87329 87856 91694 94996 97603 98192 104329 106172 118618 120802 127024 129032 134963 135014 141968 146812 150841 164084 168587 174658 177419 183388 189992 195206 208658 212344 237236 241604 258064 269926 270028 274193 293624 301682 306451 328168 337174 349316 354838 366776 379984 390412 403733 417316 424688 451231 474472 483208 504317 539852 540056 548386 587248 603364 612902 652399 656336 674348 697357 698632 709676 733552 779399 780824 807466 834632 902462 948944 966416 1008253 1008634 1079704 1080112 1096772 1126871 1147619 1206728 1225804 1304798 1348696 1394714 1397264 1419352 1484593 1558798 1561648 1614932 1659251 1669264 1804924 1854457 2016506 2017268 2159408 2193544 2253742 2295238 2413456 2451608 2564297 2609596 2697392 2789428 2838704 2865979 2969186 3016123 3117596 3229864 3318502 3370961 3609848 3708914 4033012 4034536 4387088 4507484 4590476 4661281 4903216 5128594 5209667 5219192 5578856 5731958 5822569 5938372 6032246 6235192 6459728 6637004 6741922 7219696 7417828 7532243 7670927 8066024 8069072 8573389 9014968 9180952 9322562 10257188 10419334 10438384 11090783 11157712 11463916 11645138 11876744 12064492 12395581 12470384 13249783 13274008 13483844 14835656 15064486 15341854 16132048 17140301 17146778 18029936 18361904 18645124 19156807 20514376 20838668 21410549 22181566 22927832 23290276 23753488 24128984 24791162 26499566 26548016 26967688 28207267 29671312 30128972 30683708 31525769 34280602 34293556 37290248 38313614 41028752 41677336 42821098 44363132 45855664 46580552 48257968 48721643 49582324 51274091 52999132 53935376 56414534 57306337 60257944 61367416 63051538 64048259 68561204 68587112 74580496 76627228 82854673 83354672 85642196 88564339 88726264 93161104 97443286 98983673 99164648 102548182 105998264 112829068 114612674 120515888 122734832 126103076 128048131 128096518 137122408 137174224 143112617 145747613 153254456 165709346 171284392 177128678 177452528 188543311 194886572 197967346 198329296 205096364 210724877 211996528 225658136 229225348 235516039 252206152 256096262 256193036 274244816 286225234 291495226 306508912 325665719 331418692 342568784 354257356 363979333 377086622 389773144 395934692 410192728 421449754 451316272 458450696 471032078 504412304 512192524 512386072 535938073 572450468 582990452 651331438 662837384 708514712 727958666 754173244 779546288 791869384 820385456 842899508 916901392 942064156 974207729 1024385048 1024772144 1071876146 1088820403 1144900936 1165980904 1302662876 1325674768 1408529441 1417029424 1455917332 1508346488 1574238787 1583738768 1682722441 1685799016 1884128312 1948415458 2048770096 2143752292 2176818227 2177640806 2289801872 2331961808 2432914489 2605325752 2719139723 2817058882 2911834664 3016692976 3148477574 3365444882 3371598032 3582322909 3768256624 3896830916 4003772663 4287504584 4353636454 4355281612 4865828978 5210651504 5438279446 5634117764 5823669328 6187648661 6296955148 6730889764 7164645818 7793661832 8007545326 8575009168 8707272908 8710563224 9731657956 10876558892 11268235528 12375297322 12593910296 13461779528 14329291636 15587323664 16015090652 17414545816 17421126448 18509946851 19463315912 21753117784 22536471056 23945000497 24750594644 25187820592 26762059379 26923559056 28658583272 29910536953 32030181304 34829091632 37019893702 38926631824 41359546313 43506235568 46225375291 47890000994 49501189288 53524118758 57317166544 59821073906 64060362608 68064135271 74039787404 82719092626 92450750582 95780001988 99002378576 107048237516 119642147812 136128270542 148079574808 165438185252 184901501164 191560003976 214096475032 239284295624 272256541084 296159149616 330876370504 369803002328 383120007952 428192950064 454955009443 478568591248 508479128201 544513082168 661752741008 739606004656 785831379947 909910018886 1016958256402 1089026164336 1571662759894 1819820037772 2033916512804 3143325519788 3639640075544 4067833025608 6286651039576 7279280151088 8135666051216 8644145179417 12573302079152 17288290358834 34576580717668 69153161435336 138306322870672
• Sum of all divisors σ(n): 331049205427824
• Sum of proper divisors (its aliquot sum) s(n): 192742882557152
• 138306322870672 is an abundant number, because the sum of its proper divisors (192742882557152) is greater than itself. Its abundance is 54436559686480

Bases of 138306322870672

• Binary: 11111011100100111110011001111101011000110010000₂
• Hexadecimal: 0x7DC9F33EB190
• Base-36: 1D0X1PO974

Squares and roots of 138306322870672

• 138306322870672 squared (138306322870672²) is 19128638946006568734837731584
• 138306322870672 cubed (138306322870672³) is 2645611714142895437953031135704911481704448
• The square root of 138306322870672 is 11760370.8645038911
• The cube root of 138306322870672 is 51714.7002371783

Scales and comparisons

• 138,306,322,870,672 seconds is equal to 4,397,713 years, 13 weeks, 2 days, 19 hours, 37 minutes, 52 seconds.
• To count from 1 to 138,306,322,870,672 would take you about ten million, nine hundred ninety-four thousand, two hundred eighty-three 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 138306322870672 cubic inches would be around 4309.6 feet tall.

Recreational maths with 138306322870672

• 138306322870672 backwards is 276078223603831
• The number of decimal digits it has is: 15
• The sum of 138306322870672's digits is 58
• More coming soon!