138015914085840

Names of 138015914085840

• Cardinal: 138015914085840 can be written as One hundred thirty-eight trillion, fifteen billion, nine hundred fourteen million, eighty-five thousand, eight hundred forty.

Scientific notation

• Scientific notation: 1.3801591408584 × 10¹⁴

Factors of 138015914085840

• Number of distinct prime factors ω(n): 7
• Total number of prime factors Ω(n): 11
• Sum of prime factors: 3894136

Divisors of 138015914085840

• Number of divisors d(n): 480
• Complete list of divisors:
  1 2 3 4 5 6 7 8 10 12 14 15 16 17 20 21 24 28 30 34 35 40 42 48 51 56 60 68 70 73 80 84 85 102 105 112 119 120 136 140 146 168 170 204 210 219 238 240 255 272 280 289 292 336 340 357 365 408 420 438 476 510 511 560 578 584 595 680 714 730 816 840 867 876 952 1020 1022 1095 1156 1168 1190 1241 1360 1428 1445 1460 1533 1680 1734 1752 1785 1904 2023 2040 2044 2190 2312 2380 2482 2555 2856 2890 2920 3066 3468 3504 3570 3723 4046 4080 4088 4335 4380 4624 4760 4964 5110 5712 5780 5840 6069 6132 6205 6936 7140 7446 7665 8092 8176 8670 8687 8760 9520 9928 10115 10220 11560 12138 12264 12410 13872 14280 14892 15330 16184 17340 17374 17520 18615 19856 20230 20440 21097 23120 24276 24528 24820 26061 28560 29784 30345 30660 32368 34680 34748 37230 40460 40880 42194 43435 48552 49640 52122 59568 60690 61320 63291 69360 69496 74460 80920 84388 86870 97104 99280 104244 105485 121380 122640 126582 130305 138992 147679 148920 161840 168776 173740 208488 210970 242760 253164 260610 295358 297840 316455 337552 347480 416976 421940 443037 485520 506328 521220 590716 632910 694960 738395 843880 886074 1012656 1042440 1181432 1265820 1476790 1687760 1772148 2084880 2215185 2362864 2531640 2953580 3544296 3894029 4430370 5063280 5907160 7088592 7788058 8860740 11682087 11814320 15576116 17721480 19470145 23364174 27258203 31152232 35442960 38940290 46728348 54516406 58410435 62304464 66198493 77880580 81774609 93456696 109032812 116820870 132396986 136291015 155761160 163549218 186913392 198595479 218065624 233641740 264793972 272582030 284264117 311522320 327098436 330992465 397190958 408873045 436131248 463389451 467283480 529587944 545164060 568528234 654196872 661984930 794381916 817746090 852792351 926778902 934566960 992977395 1059175888 1090328120 1125374381 1137056468 1308393744 1323969860 1390168353 1421320585 1588763832 1635492180 1705584702 1853557804 1985954790 1989848819 2180656240 2250748762 2274112936 2316947255 2647939720 2780336706 2842641170 3177527664 3270984360 3376123143 3411169404 3707115608 3971909580 3979697638 4263961755 4501497524 4548225872 4633894510 4832489989 5295879440 5560673412 5626871905 5685282340 5969546457 6541968720 6752246286 6822338808 6950841765 7414231216 7877620667 7943819160 7959395276 8527923510 9002995048 9267789020 9664979978 9949244095 11121346824 11253743810 11370564680 11939092914 13504492572 13644677616 13901683530 14497469967 15755241334 15887638320 15918790552 16880615715 17055847020 18005990096 18535578040 19329959956 19898488190 22242693648 22507487620 22741129360 23632862001 23878185828 24162449945 27008985144 27803367060 28994939934 29847732285 31510482668 31837581104 33761231430 33827429923 34111694040 37071156080 38659919912 39388103335 39796976380 45014975240 47265724002 47756371656 48324899890 54017970288 55606734120 57989879868 59695464570 63020965336 67522462860 67654859846 68223388080 72487349835 77319839824 78776206670 79593952760 82152329813 90029950480 94531448004 95512743312 96649799780 101482289769 111213468240 115979759736 118164310005 119390929140 126041930672 135044925720 135309719692 144974699670 157552413340 159187905520 164304659626 169137149615 189062896008 193299599560 202964579538 231959519472 236328620010 238781858280 246456989439 270089851440 270619439384 289949399340 315104826680 328609319252 338274299230 378125792016 386599199120 405929159076 410761649065 472657240020 477563716560 492913978878 507411448845 541238878768 575066308691 579898798680 630209653360 657218638504 676548598460 811858318152 821523298130 945314480040 985827957756 1014822897690 1150132617382 1159797597360 1232284947195 1314437277008 1353097196920 1623716636304 1643046596260 1725198926073 1890628960080 1971655915512 2029645795380 2300265234764 2464569894390 2706194393840 2875331543455 3286093192520 3450397852146 3943311831024 4059291590760 4600530469528 4929139788780 5750663086910 6572186385040 6900795704292 8118583181520 8625994630365 9201060939056 9858279577560 11501326173820 13801591408584 17251989260730 19716559155120 23002652347640 27603182817168 34503978521460 46005304695280 69007957042920 138015914085840
• Sum of all divisors σ(n): 526541141710080
• Sum of proper divisors (its aliquot sum) s(n): 388525227624240
• 138015914085840 is an abundant number, because the sum of its proper divisors (388525227624240) is greater than itself. Its abundance is 250509313538400

Bases of 138015914085840

• Binary: 11111011000011001010101100010000100110111010000₂
• Hexadecimal: 0x7D8655884DD0
• Base-36: 1CX7MVS4PC

Squares and roots of 138015914085840

• 138015914085840 squared (138015914085840²) is 19048392540949968122888505600
• 138015914085840 cubed (138015914085840³) is 2628981308405106294466466684146867720704000
• The square root of 138015914085840 is 11748017.4534191087
• The cube root of 138015914085840 is 51678.4788823987

Scales and comparisons

• 138,015,914,085,840 seconds is equal to 4,388,479 years, 8 weeks, 1 day, 44 minutes.
• To count from 1 to 138,015,914,085,840 would take you about ten million, nine hundred seventy-one thousand, one hundred ninety-seven 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 138015914085840 cubic inches would be around 4306.5 feet tall.

Recreational maths with 138015914085840

• 138015914085840 backwards is 048580419510831
• The number of decimal digits it has is: 15
• The sum of 138015914085840's digits is 57
• More coming soon!