138247688036240744

Names of 138247688036240744

• Cardinal: 138247688036240744 can be written as One hundred thirty-eight quadrillion, two hundred forty-seven trillion, six hundred eighty-eight billion, thirty-six million, two hundred forty thousand, seven hundred forty-four.

Scientific notation

• Scientific notation: 1.38247688036240744 × 10¹⁷

Factors of 138247688036240744

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 12
• Sum of prime factors: 564

Divisors of 138247688036240744

• Number of divisors d(n): 432
• Complete list of divisors:
  1 2 4 8 13 26 52 73 103 104 146 169 206 292 338 373 412 584 676 746 824 949 1339 1352 1492 1898 2197 2678 2984 3796 4394 4849 5329 5356 7519 7592 8788 9698 10609 10658 10712 12337 15038 17407 17576 19396 21218 21316 24674 27229 30076 34814 38419 38792 42436 42632 49348 54458 60152 63037 69277 69628 76838 84872 97747 98696 108916 126074 137917 138554 139129 139256 153676 160381 195494 217832 226291 252148 275834 277108 278258 307352 320762 353977 390988 452582 499447 504296 548887 551668 554216 556516 641524 707954 774457 781976 819481 900601 905164 998894 1097774 1103336 1113032 1270711 1283048 1415908 1548914 1638962 1792921 1801202 1808677 1810328 1987717 1997788 2195548 2541422 2804587 2831816 3097828 3277924 3585842 3602404 3617354 3957157 3975434 3995576 4391096 4601701 5082844 5609174 6195656 6492811 6555848 7135531 7171684 7204808 7234708 7914314 7950868 9203402 10067941 10156417 10165688 11218348 11707813 12985622 14271062 14330287 14343368 14469416 15828628 15901736 16519243 18406804 20135882 20312834 22436696 23307973 23415626 23512801 25840321 25971244 28542124 28660574 31657256 33038486 36459631 36813608 40271764 40625668 46615946 46831252 47025602 51443041 51680642 51942488 56535361 57084248 57321148 59822113 66076972 72919262 80543528 81251336 84406543 92761903 93231892 93662504 94051204 102886082 103361284 113070722 114642296 119644226 130883233 132033421 132153944 145838524 168813086 185523806 186293731 186463784 188102408 204734851 205772164 206722568 226141444 239288452 261766466 264066842 288872461 291677048 305666413 335924173 337626172 371047612 372587462 409469702 411544328 452282888 473975203 478576904 523532932 528133684 577744922 611332826 668759533 671848346 675252344 734959693 741418441 742095224 745174924 818939404 947950406 1046110951 1047065864 1056267368 1155489844 1205904739 1222665652 1337519066 1343696692 1469919386 1476019561 1482836882 1490349848 1637878808 1701482029 1716434473 1895900812 2092221902 2310979688 2411809478 2421818503 2445331304 2661553063 2675038132 2687393384 2939838772 2952039122 2965673764 3402964058 3432868946 3755341993 3791801624 4184443804 4367014249 4823618956 4843637006 5323106126 5350076264 5879677544 5904078244 5931347528 6161677639 6805928116 6865737892 7510683986 8368887608 8693873929 8734028498 9554476009 9638439733 9647237912 9687274012 10646212252 11808156488 12323355278 13599442363 13611856232 13731475784 15021367972 17387747858 17468056996 19108952018 19188254293 19276879466 19374548024 21087689653 21292424504 22313648149 24646710556 27198884726 30042735944 31483640539 34600189819 34775495716 34936113992 38217904036 38376508586 38553758932 42175379306 44627296298 48819445909 49293421112 54397769452 62967281078 69200379638 69550991432 76366099423 76435808072 76753017172 77107517864 84350758612 89254592596 97638891818 107749427953 108795538904 124208188117 125299716529 125934562156 138400759276 152732198846 153506034344 168701517224 176792750719 178509185192 195277783636 215498855906 248416376234 249447305809 250599433058 251869124312 274139965489 276801518552 305464397692 353585501438 390555567272 430997711812 449802467647 496832752468 498894611618 501198866116 548279930978 610928795384 634652796817 707171002876 861995423624 899604935294 992759292499 993665504936 997789223236 1002397732232 1096559861956 1269305593634 1400742563389 1414342005752 1628896314877 1799209870588 1985518584998 1995578446472 2193119723912 2298305759347 2538611187268 2801485126778 3242814975517 3257792629754 3563819551357 3598419741176 3971037169996 4596611518694 5077222374536 5602970253556 6485629951034 6515585259508 7127639102714 7865708240569 7942074339992 9193223037388 11205940507112 12905870802487 12971259902068 13031170519016 14255278205428 15731416481138 18209653324057 18386446074776 25811741604974 25942519804136 28510556410856 31462832962276 36419306648114 46329654167641 51623483209948 62925665924552 72838613296228 92659308335282 102254207127397 103246966419896 145677226592456 167776320432331 185318616670564 204508414254794 236725493212741 335552640864662 370637233341128 409016828509588 473450986425482 671105281729324 818033657019176 946901972850964 1329304692656161 1342210563458648 1893803945701928 2658609385312322 5317218770624644 10634437541249288 17280961004530093 34561922009060186 69123844018120372 138247688036240744
• Sum of all divisors σ(n): 288268929769356900
• Sum of proper divisors (its aliquot sum) s(n): 150021241733116156
• 138247688036240744 is an abundant number, because the sum of its proper divisors (150021241733116156) is greater than itself. Its abundance is 11773553696875412

Bases of 138247688036240744

• Binary: 111101011001001111000101000110000011010110100110101101000₂
• Hexadecimal: 0x1EB278A306B4D68
• Base-36: 11T8PR478ZMW

Squares and roots of 138247688036240744

• 138247688036240744 squared (138247688036240744²) is 19112423247365742140113135525673536
• 138247688036240744 cubed (138247688036240744³) is 2642248326718414379402243580124883270408008045750784
• The square root of 138247688036240744 is 371816739.8547848383
• The cube root of 138247688036240744 is 517073.9107146745

Scales and comparisons

• 138,247,688,036,240,744 seconds is equal to 4,395,848,851 years, 19 weeks, 3 days, 22 hours, 25 minutes, 44 seconds.
• To count from 1 to 138,247,688,036,240,744 would take you about thirteen billion, one hundred eighty-seven million, five hundred forty-six thousand, five hundred fifty-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 138247688036240744 cubic inches would be around 43089.5 feet tall.

Recreational maths with 138247688036240744

• 138247688036240744 backwards is 447042630886742831
• The number of decimal digits it has is: 18
• The sum of 138247688036240744's digits is 77
• More coming soon!