138726820102058048

Names of 138726820102058048

• Cardinal: 138726820102058048 can be written as One hundred thirty-eight quadrillion, seven hundred twenty-six trillion, eight hundred twenty billion, one hundred two million, fifty-eight thousand and forty-eight.

Scientific notation

• Scientific notation: 1.38726820102058048 × 10¹⁷

Factors of 138726820102058048

• Number of distinct prime factors ω(n): 3
• Total number of prime factors Ω(n): 17
• Sum of prime factors: 122

Divisors of 138726820102058048

• Number of divisors d(n): 294
• Complete list of divisors:
  1 2 4 7 8 14 16 28 32 49 56 64 98 112 113 196 224 226 343 392 448 452 686 784 791 904 1372 1568 1582 1808 2401 2744 3136 3164 3616 4802 5488 5537 6328 7232 9604 10976 11074 12656 12769 16807 19208 21952 22148 25312 25538 33614 38416 38759 44296 50624 51076 67228 76832 77518 88592 89383 102152 117649 134456 153664 155036 177184 178766 204304 235298 268912 271313 310072 354368 357532 408608 470596 537824 542626 620144 625681 715064 817216 941192 1075648 1085252 1240288 1251362 1430128 1442897 1882384 1899191 2170504 2480576 2502724 2860256 2885794 3764768 3798382 4341008 4379767 5005448 5720512 5771588 7529536 7596764 8682016 8759534 10010896 10100279 11543176 13294337 15193528 17364032 17519068 20021792 20200558 23086352 26588674 30387056 30658369 35038136 40043584 40401116 46172704 53177348 60774112 61316738 70076272 70701953 80802232 92345408 106354696 121548224 122633476 140152544 141403906 161604464 163047361 212709392 214608583 245266952 280305088 282807812 323208928 326094722 425418784 429217166 490533904 494913671 565615624 646417856 652189444 850837568 858434332 981067808 989827342 1131231248 1141331527 1304378888 1502260081 1716868664 1962135616 1979654684 2262462496 2282663054 2608757776 3004520162 3433737328 3464395697 3959309368 4524924992 4565326108 5217515552 6009040324 6867474656 6928791394 7918618736 7989320689 9130652216 10435031104 12018080648 13734949312 13857582788 15837237472 15978641378 18261304432 18424351793 24036161296 24250769879 27715165576 31674474944 31957282756 36522608864 36848703586 48072322592 48501539758 55430331152 55925244823 63914565512 73045217728 73697407172 96144645184 97003079516 110860662304 111850489646 127829131024 128970462551 147394814344 169755389153 194006159032 221721324608 223700979292 255658262048 257940925102 294789628688 339510778306 388012318064 391476713761 447401958584 511316524096 515881850204 589579257376 679021556612 776024636128 782953427522 894803917168 902793237857 1031763700408 1179158514752 1358043113224 1552049272256 1565906855044 1789607834336 1805586475714 2063527400816 2716086226448 2740336996327 3131813710088 3579215668672 3611172951428 4127054801632 5432172452896 5480673992654 6263627420176 6319552664999 7222345902856 8254109603264 10864344905792 10961347985308 12527254840352 12639105329998 14444691805712 19182358974289 21922695970616 25054509680704 25278210659996 28889383611424 38364717948578 43845391941232 44236868654993 50556421319992 57778767222848 76729435897156 87690783882464 88473737309986 101112842639984 153458871794312 175381567764928 176947474619972 202225685279968 306917743588624 309658080584951 353894949239944 404451370559936 613835487177248 619316161169902 707789898479888 1227670974354496 1238632322339804 1415579796959776 2167606564094657 2477264644679608 2831159593919552 4335213128189314 4954529289359216 8670426256378628 9909058578718432 17340852512757256 19818117157436864 34681705025514512 69363410051029024 138726820102058048
• Sum of all divisors σ(n): 324034208632856826
• Sum of proper divisors (its aliquot sum) s(n): 185307388530798778
• 138726820102058048 is an abundant number, because the sum of its proper divisors (185307388530798778) is greater than itself. Its abundance is 46580568428740730

Bases of 138726820102058048

• Binary: 111101100110110110100111011010001000000001011000001000000₂
• Hexadecimal: 0x1ECDB4ED100B040
• Base-36: 11XYJXCKEWJK

Squares and roots of 138726820102058048

• 138726820102058048 squared (138726820102058048²) is 19245130615628776919310565161570304
• 138726820102058048 cubed (138726820102058048³) is 2669815772754942986641462562279724266519949841006592
• The square root of 138726820102058048 is 372460494.6864271777
• The cube root of 138726820102058048 is 517670.5717628979

Scales and comparisons

• 138,726,820,102,058,048 seconds is equal to 4,411,083,769 years, 5 days, 23 hours, 14 minutes, 8 seconds.
• To count from 1 to 138,726,820,102,058,048 would take you about thirteen billion, two hundred thirty-three million, two hundred fifty-one thousand, three hundred 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 138726820102058048 cubic inches would be around 43139.2 feet tall.

Recreational maths with 138726820102058048

• 138726820102058048 backwards is 840850201028627831
• The number of decimal digits it has is: 18
• The sum of 138726820102058048's digits is 65
• More coming soon!