138023393695040

Names of 138023393695040

• Cardinal: 138023393695040 can be written as One hundred thirty-eight trillion, twenty-three billion, three hundred ninety-three million, six hundred ninety-five thousand and forty.

Scientific notation

• Scientific notation: 1.3802339369504 × 10¹⁴

Factors of 138023393695040

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 14
• Sum of prime factors: 305

Divisors of 138023393695040

• Number of divisors d(n): 756
• Complete list of divisors:
  1 2 4 5 7 8 10 14 16 20 28 32 35 40 49 56 64 70 73 79 80 98 112 139 140 146 158 160 196 224 245 278 280 292 316 320 365 392 395 448 490 511 553 556 560 584 632 695 730 784 790 973 980 1022 1106 1112 1120 1168 1264 1390 1460 1568 1580 1946 1960 2044 2212 2224 2240 2336 2528 2555 2765 2780 2920 3136 3160 3577 3871 3892 3920 4088 4424 4448 4672 4865 5056 5110 5530 5560 5767 5840 6241 6320 6811 7154 7742 7784 7840 8176 8848 8896 9730 10147 10220 10981 11060 11120 11534 11680 12482 12640 13622 14308 15484 15568 15680 16352 17696 17885 19321 19355 19460 20294 20440 21962 22120 22240 23068 23360 24964 25280 27244 28616 28835 30968 31136 31205 32704 34055 35392 35770 38642 38710 38920 40369 40588 40880 43687 43924 44240 44480 46136 49928 50735 54488 54905 57232 57670 61936 62272 62410 68110 71029 71540 76867 77284 77420 77840 80738 81176 81760 87374 87848 88480 92272 96605 99856 101470 108976 109810 114464 115340 123872 124820 135247 136220 142058 143080 153734 154568 154840 155680 161476 162352 163520 174748 175696 176960 184544 193210 199712 201845 202940 217952 218435 219620 228928 230680 247744 249640 270494 272440 282583 284116 286160 305809 307468 309136 309680 311360 322952 324704 349496 351392 355145 369088 384335 386420 399424 403690 405880 435904 436870 439240 455593 461360 497203 499280 538069 540988 544880 565166 568232 572320 611618 614936 618272 619360 645904 649408 676235 698992 702784 710290 768670 772840 801613 807380 811760 867499 873740 878480 911186 922720 946729 994406 998560 1076138 1081976 1089760 1130332 1136464 1144640 1223236 1229872 1236544 1238720 1291808 1352470 1397984 1410433 1412915 1420580 1526359 1529045 1537340 1545680 1603226 1614760 1623520 1734998 1747480 1756960 1822372 1845440 1893458 1988812 1997120 2152276 2163952 2179520 2260664 2272928 2277965 2446472 2459744 2486015 2583616 2690345 2704940 2795968 2820866 2825830 2841160 3052718 3058090 3074680 3091360 3189151 3206452 3229520 3247040 3469996 3494960 3513920 3644744 3786916 3977624 4008065 4304552 4327904 4337495 4521328 4545856 4555930 4733645 4892944 4919488 4972030 5380690 5409880 5611291 5641732 5651660 5682320 6072493 6105436 6116180 6149360 6182720 6378302 6412904 6459040 6939992 6989920 7052165 7289488 7573832 7631795 7955248 8016130 8609104 8655808 8674990 9042656 9111860 9467290 9785888 9873031 9944060 10684513 10761380 10819760 11222582 11283464 11303320 11364640 12144986 12210872 12232360 12298720 12756604 12825808 12918080 13879984 13979840 14104330 14578976 15147664 15263590 15910496 15945755 16032260 17218208 17349980 18085312 18223720 18934580 19571776 19746062 19888120 21369026 21522760 21639520 22324057 22445164 22566928 22606640 22729280 24289972 24421744 24464720 24597440 25513208 25651616 27759968 28056455 28208660 29157952 30295328 30362465 30527180 31820992 31891510 32064520 34436416 34699960 36447440 37869160 39279037 39492124 39776240 42507451 42738052 43045520 43279040 44648114 44890328 45133856 45213280 48579944 48843488 48929440 49365155 51026416 51303232 53422565 55519936 56112910 56417320 60590656 60724930 61054360 63327427 63783020 64129040 69111217 69399920 72894880 74791591 75738320 78558074 78984248 79552480 85014902 85476104 86091040 89296228 89780656 90267712 90426560 97159888 97686976 97858880 98730310 102052832 106845130 111424207 111620285 112225820 112834640 120582361 121449860 122108720 126654854 127566040 128258080 138222434 138799840 145789760 149583182 151476640 157116148 157968496 159104960 170029804 170952208 172182080 178592456 179561312 194319776 196395185 197460620 204105664 212537255 213690260 222848414 223240570 224451640 225669280 241164722 242899720 244217440 253309708 255132080 256516160 276444868 277599680 299166364 302953280 314232296 315936992 316637135 340059608 341904416 345556085 357184912 359122624 373957955 388639552 392790370 394921240 425074510 427380520 443291989 445696828 446481140 448903280 451338560 482329444 485799440 488434880 506619416 510264160 552889736 557121035 598332728 602911805 628464592 631873984 633274270 680119216 683808832 691112170 714369824 747915910 779969449 785580740 789842480 844076527 850149020 854761040 886583978 891393656 892962280 897806560 964658888 971598880 1013238832 1020528320 1105779472 1114242070 1196665456 1205823610 1256929184 1266548540 1360238432 1382224340 1428739648 1495831820 1559938898 1571161480 1579684960 1688153054 1700298040 1709522080 1773167956 1782787312 1785924560 1795613120 1929317776 1943197760 2026477664 2211558944 2216459945 2228484140 2393330912 2411647220 2513858368 2533097080 2720476864 2764448680 2991663640 3103043923 3119877796 3142322960 3159369920 3376306108 3400596080 3419044160 3546335912 3565574624 3571849120 3858635552 3899847245 4052955328 4220382635 4423117888 4432919890 4456968280 4786661824 4823294440 5066194160 5459786143 5528897360 5908535689 5983327280 6206087846 6239755592 6284645920 6752612216 6801192160 7092671824 7131149248 7143698240 7717271104 7799694490 8440765270 8802512353 8865839780 8913936560 9646588880 10132388320 10919572286 11057794720 11817071378 11966654560 12412175692 12479511184 12569291840 13505224432 13602384320 14185343648 15515219615 15599388980 16881530540 17605024706 17731679560 17827873120 19293177760 20264776640 21839144572 22115589440 23634142756 23933309120 24824351384 24959022368 27010448864 27298930715 28370687296 29542678445 31030439230 31198777960 33763061080 35210049412 35463359120 35655746240 38586355520 43678289144 44012561765 47268285512 49648702768 49918044736 54020897728 54597861430 59085356890 61617586471 62060878460 62397555920 67526122160 70420098824 70926718240 87356578288 88025123530 94536571024 99297405536 109195722860 118170713780 123235172942 124121756920 124795111840 135052244320 140840197648 141853436480 174713156576 176050247060 189073142048 198594811072 218391445720 236341427560 246470345884 248243513840 249590223680 270104488640 281680395296 308087932355 349426313152 352100494120 378146284096 431323105297 436782891440 472682855120 492940691768 496487027680 563360790592 616175864710 704200988240 862646210594 873565782880 945365710240 985881383536 992974055360 1232351729420 1408401976480 1725292421188 1747131565760 1890731420480 1971762767072 2156615526485 2464703458840 2816803952960 3450584842376 3943525534144 4313231052970 4929406917680 6901169684752 8626462105940 9858813835360 13802339369504 17252924211880 19717627670720 27604678739008 34505848423760 69011696847520 138023393695040
• Sum of all divisors σ(n): 395377990439796
• Sum of proper divisors (its aliquot sum) s(n): 257354596744756
• 138023393695040 is an abundant number, because the sum of its proper divisors (257354596744756) is greater than itself. Its abundance is 119331203049716

Bases of 138023393695040

• Binary: 11111011000100000010011010110100001010101000000₂
• Hexadecimal: 0x7D88135A1540
• Base-36: 1CXB2KY43K

Squares and roots of 138023393695040

• 138023393695040 squared (138023393695040²) is 19050457207096007624520601600
• 138023393695040 cubed (138023393695040³) is 2629408755165524426310212570580027736064000
• The square root of 138023393695040 is 11748335.7840606513
• The cube root of 138023393695040 is 51679.4124168785

Scales and comparisons

• 138,023,393,695,040 seconds is equal to 4,388,716 years, 51 weeks, 1 day, 13 hours, 57 minutes, 20 seconds.
• To count from 1 to 138,023,393,695,040 would take you about ten million, nine hundred seventy-one thousand, seven hundred ninety-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 138023393695040 cubic inches would be around 4306.6 feet tall.

Recreational maths with 138023393695040

• 138023393695040 backwards is 040596393320831
• 138023393695040 is a Harshad number.
• The number of decimal digits it has is: 15
• The sum of 138023393695040's digits is 56
• More coming soon!