138476922778128

Names of 138476922778128

• Cardinal: 138476922778128 can be written as One hundred thirty-eight trillion, four hundred seventy-six billion, nine hundred twenty-two million, seven hundred seventy-eight thousand, one hundred twenty-eight.

Scientific notation

• Scientific notation: 1.38476922778128 × 10¹⁴

Factors of 138476922778128

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 12
• Sum of prime factors: 226

Divisors of 138476922778128

• Number of divisors d(n): 320
• Complete list of divisors:
  1 2 3 4 6 8 11 12 16 22 24 33 37 44 48 66 74 88 111 132 148 173 176 222 264 296 346 407 444 519 528 592 692 814 888 1038 1221 1369 1384 1628 1776 1903 2076 2442 2738 2768 3256 3806 4107 4152 4884 5476 5709 6401 6512 7612 8214 8304 9768 10952 11418 12802 15059 15224 16428 19203 19536 21904 22836 25604 29929 30118 30448 32856 38406 45177 45672 50653 51208 59858 60236 65712 70411 76812 89787 90354 91344 101306 102416 119716 120472 140822 151959 153624 179574 180708 202612 211233 236837 239432 240944 281644 303918 307248 329219 359148 361416 405224 422466 473674 478864 557183 563288 607836 658438 710511 718296 722832 810448 844932 947348 987657 1107373 1114366 1126576 1215672 1316876 1421022 1436592 1671549 1689864 1894696 1975314 2214746 2228732 2431344 2605207 2633752 2842044 3322119 3343098 3379728 3789392 3950628 4429492 4457464 5177717 5210414 5267504 5684088 6644238 6686196 7815621 7901256 8762969 8858984 8914928 10355434 10420828 11368176 12181103 13288476 13372392 15533151 15631242 15802512 17525938 17717968 20710868 20841656 24362206 26288907 26576952 26744784 31066302 31262484 35051876 36543309 40972801 41421736 41683312 48724412 52577814 53153904 56954887 62132604 62524968 70103752 73086618 81945602 82843472 96392659 97448824 105155628 113909774 122918403 124265208 125049936 140207504 146173236 163891204 170864661 191575529 192785318 194897648 210311256 227819548 245836806 248530416 289177977 292346472 327782408 341729322 383151058 385570636 420622512 450700811 455639096 491673612 574726587 578355954 584692944 655564816 683458644 766302116 771141272 901401622 911278192 983347224 1149453174 1156711908 1352102433 1366917288 1515993637 1532604232 1542282544 1802803244 1966694448 2107330819 2298906348 2313423816 2704204866 2733834576 3031987274 3065208464 3605606488 4214661638 4547980911 4597812696 4626847632 5408409732 6063974548 6321992457 7088294573 7211212976 8429323276 9095961822 9195625392 10816819464 12127949096 12643984914 14176589146 16675930007 16858646552 18191923644 21264883719 21633638928 24255898192 25287969828 28353178292 33351860014 33717293104 36383847288 42529767438 50027790021 50575939656 56706356584 66703720028 72767694576 77971240303 85059534876 100055580042 101151879312 113412713168 133407440056 155942480606 170119069752 200111160084 233913720909 262266899201 266814880112 311884961212 340238139504 400222320168 467827441818 524533798402 623769922424 786800697603 800444640336 935654883636 1049067596804 1247539844848 1573601395206 1871309767272 2098135193608 2884935891211 3147202790412 3742619534544 4196270387216 5769871782422 6294405580824 8654807673633 11539743564844 12588811161648 17309615347266 23079487129688 34619230694532 46158974259376 69238461389064 138476922778128
• Sum of all divisors σ(n): 403425234489600
• Sum of proper divisors (its aliquot sum) s(n): 264948311711472
• 138476922778128 is an abundant number, because the sum of its proper divisors (264948311711472) is greater than itself. Its abundance is 126471388933344

Bases of 138476922778128

• Binary: 11111011111000110101011110010101011001000010000₂
• Hexadecimal: 0x7DF1ABCAB210
• Base-36: 1D33F4GC9C

Squares and roots of 138476922778128

• 138476922778128 squared (138476922778128²) is 19175858142099625329515184384
• 138476922778128 cubed (138476922778128³) is 2655413827147866877380195744163777442353152
• The square root of 138476922778128 is 11767621.7978879657
• The cube root of 138476922778128 is 51735.9547440053

Scales and comparisons

• 138,476,922,778,128 seconds is equal to 4,403,137 years, 41 weeks, 6 days, 18 hours, 48 minutes, 48 seconds.
• To count from 1 to 138,476,922,778,128 would take you about eleven million, seven thousand, eight hundred forty-four 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 138476922778128 cubic inches would be around 4311.3 feet tall.

Recreational maths with 138476922778128

• 138476922778128 backwards is 821877229674831
• The number of decimal digits it has is: 15
• The sum of 138476922778128's digits is 75
• More coming soon!