138248680456432

Names of 138248680456432

• Cardinal: 138248680456432 can be written as One hundred thirty-eight trillion, two hundred forty-eight billion, six hundred eighty million, four hundred fifty-six thousand, four hundred thirty-two.

Scientific notation

• Scientific notation: 1.38248680456432 × 10¹⁴

Factors of 138248680456432

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 13
• Sum of prime factors: 472

Divisors of 138248680456432

• Number of divisors d(n): 540
• Complete list of divisors:
  1 2 4 7 8 13 14 16 26 28 29 49 52 56 58 91 98 104 112 116 169 182 196 203 208 232 338 343 364 377 392 406 421 464 637 676 686 728 754 784 812 841 842 1183 1274 1352 1372 1421 1456 1508 1624 1682 1684 2366 2548 2639 2704 2744 2842 2947 3016 3248 3364 3368 4459 4732 4901 5096 5278 5473 5488 5684 5887 5894 6032 6728 6736 8281 8918 9464 9802 9947 10192 10556 10933 10946 11368 11774 11788 12209 13456 16562 17836 18473 18928 19604 19894 20629 21112 21866 21892 22736 23548 23576 24418 33124 34307 35672 36946 38311 39208 39788 41209 41258 42224 43732 43784 47096 47152 48836 57967 66248 68614 71149 71344 73892 76531 76622 78416 79576 82418 82516 85463 87464 87568 94192 97672 115934 129311 132496 137228 142129 142298 144403 147784 153062 153244 158717 159152 164836 165032 170926 174928 177241 195344 231868 240149 258622 268177 274456 284258 284596 288463 288806 295568 306124 306488 317434 329672 330064 341852 354061 354482 463736 480298 498043 517244 535717 536354 548912 568516 569192 576926 577612 598241 612248 612976 634868 659344 683704 708122 708964 927472 960596 994903 996086 1034488 1071434 1072708 1111019 1137032 1138384 1153852 1155224 1196482 1224496 1240687 1269736 1367408 1416244 1417928 1681043 1877239 1921192 1989806 1992172 2063321 2068976 2142868 2145416 2222038 2274064 2304133 2307704 2310448 2392964 2478427 2481374 2539472 2832488 2835856 3362086 3486301 3750019 3754478 3842384 3979612 3984344 4126642 4187687 4285736 4290832 4444076 4602793 4608266 4615408 4785928 4956854 4962748 5139989 5664976 6724172 6964321 6972602 7500038 7508956 7777133 7959224 7968688 8253284 8375374 8571472 8684809 8888152 9205586 9216532 9571856 9913708 9925496 10279978 13448344 13928642 13945204 14443247 15000076 15017912 15554266 15918448 16128931 16506568 16750748 17348989 17369618 17776304 18411172 18433064 19827416 19850992 20559956 24404107 26896688 27857284 27890408 28886494 29953729 30000152 30035824 31108532 32219551 32257862 33013136 33501496 34697978 34739236 35979923 36822344 36866128 39654832 41119912 48750247 48808214 54439931 55714568 55780816 57772988 59836309 59907458 60000304 60793663 62217064 64439102 64515724 66819857 67002992 69395956 69478472 71959846 73644688 82239824 97500494 97616428 101102729 108879862 111429136 112902517 115545976 119672618 119814916 121442923 121587326 124434128 128878204 129031448 133639714 138791912 138956944 143919692 149059681 195000988 195232856 202205458 209676103 217759724 225536857 225805034 231091952 239345236 239629832 242885846 243174652 251859461 257756408 258062896 267279428 277583824 287839384 298119362 390001976 390465712 404410916 418854163 419352206 435519448 451073714 451610068 467738999 478690472 479259664 485771692 486349304 503718922 515512816 534558856 575678768 596238724 707719103 780003952 790317619 808821832 837708326 838704412 868658141 871038896 902147428 903220136 935477998 957380944 971543384 972698608 1007437844 1043417767 1069117712 1192477448 1415438206 1467732721 1578757999 1580635238 1617643664 1675416652 1677408824 1737316282 1763016227 1804294856 1806440272 1870955996 1937775853 1943086768 2014875688 2086835534 2384954896 2830876412 2931979141 2935465442 3157515998 3161270476 3274172993 3350833304 3354817648 3474632564 3526032454 3608589712 3741911992 3875551706 4029751376 4173671068 5661752824 5863958282 5870930884 6080606987 6315031996 6322540952 6548345986 6701666608 6949265128 7052064908 7303924369 7483823984 7751103412 8347342136 10274129047 11323505648 11727916564 11741861768 12161213974 12630063992 12645081904 13096691972 13564430971 13898530256 14104129816 14607848738 15502206824 16694684272 20523853987 20548258094 22919210951 23455833128 23483723536 24322427948 25191086089 25260127984 26193383944 27128861942 28208259632 29215697476 31004413648 41047707974 41096516188 42564248909 45838421902 46911666256 48644855896 50382172178 51127470583 52386767888 54257723884 58431394952 82095415948 82193032376 85128497818 91676843804 94951016797 97289711792 100764344356 102254941166 108515447768 116862789904 164190831896 164386064752 170256995636 176337602623 183353687608 189902033594 201528688712 204509882332 217030895536 297949742363 328381663792 340513991272 352675205246 366707375216 379804067188 403057377424 409019764664 595899484726 664657117579 681027982544 705350410492 759608134376 818039529328 1191798969452 1234363218361 1329314235158 1410700820984 1519216268752 2383597938904 2468726436722 2658628470316 2821401641968 4767195877808 4937452873444 5317256940632 8640542528527 9874905746888 10634513881264 17281085057054 19749811493776 34562170114108 69124340228216 138248680456432
• Sum of all divisors σ(n): 351146158131600
• Sum of proper divisors (its aliquot sum) s(n): 212897477675168
• 138248680456432 is an abundant number, because the sum of its proper divisors (212897477675168) is greater than itself. Its abundance is 74648797218736

Bases of 138248680456432

• Binary: 11111011011110010000111011111010100000011110000₂
• Hexadecimal: 0x7DBC877D40F0
• Base-36: 1D06KEV9PS

Squares and roots of 138248680456432

• 138248680456432 squared (138248680456432²) is 19112697647944643227850170624
• 138248680456432 cubed (138248680456432³) is 2642305229791098452167894724316885398253568
• The square root of 138248680456432 is 11757919.9034706815
• The cube root of 138248680456432 is 51707.5147994827

Scales and comparisons

• 138,248,680,456,432 seconds is equal to 4,395,880 years, 21 weeks, 1 day, 5 hours, 53 minutes, 52 seconds.
• To count from 1 to 138,248,680,456,432 would take you about ten million, nine hundred eighty-nine thousand, seven hundred one 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 138248680456432 cubic inches would be around 4309 feet tall.

Recreational maths with 138248680456432

• 138248680456432 backwards is 234654086842831
• The number of decimal digits it has is: 15
• The sum of 138248680456432's digits is 64
• More coming soon!