138375943601075088

Names of 138375943601075088

• Cardinal: 138375943601075088 can be written as One hundred thirty-eight quadrillion, three hundred seventy-five trillion, nine hundred forty-three billion, six hundred one million, seventy-five thousand and eighty-eight.

Scientific notation

• Scientific notation: 1.38375943601075088 × 10¹⁷

Factors of 138375943601075088

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 11
• Sum of prime factors: 9811

Divisors of 138375943601075088

• Number of divisors d(n): 360
• Complete list of divisors:
  1 2 3 4 6 8 12 16 24 37 41 48 74 82 111 123 148 164 222 246 296 328 444 492 592 619 656 888 984 1238 1369 1517 1776 1857 1968 2476 2738 3034 3714 4107 4551 4952 5476 6068 7428 8214 9102 9109 9904 10952 12136 14856 16428 18204 18218 21904 22903 24272 25379 27327 29712 32856 36408 36436 45806 50758 54654 56129 65712 68709 72816 72872 76137 91612 101516 109308 112258 137418 145744 152274 168387 183224 203032 218616 224516 274836 304548 336774 337033 366448 373469 406064 437232 449032 549672 609096 673548 674066 746938 847411 898064 939023 1011099 1099344 1120407 1218192 1347096 1348132 1493876 1694822 1878046 2022198 2240814 2542233 2694192 2696264 2817069 2987752 3389644 3756092 4044396 4481628 5084466 5392528 5634138 5638471 5975504 6779288 7512184 8088792 8963256 10168932 11268276 11276942 12470221 13558576 13818353 15024368 16177584 16915413 17926512 20337864 22536552 22553884 24940442 27636706 33830826 34743851 37410663 40675728 41455059 45073104 45107768 49880884 55273412 67661652 69487702 74821326 82910118 82973881 90215536 99761768 104231553 110546824 135323304 138975404 149642652 165820236 165947762 199523536 208463106 208623427 221093648 231177311 248921643 270646608 277950808 299285304 331640472 331895524 416926212 417246854 462354622 497843286 511279061 555901616 598570608 625870281 663280944 663791048 693531933 833852424 834493708 924709244 995686572 1022558122 1251740562 1327582096 1387063866 1533837183 1667704848 1668987416 1849418488 1991373144 2045116244 2503481124 2774127732 3067674366 3070033597 3337974832 3401929121 3698836976 3982746288 4090232488 5006962248 5548255464 6135348732 6140067194 6803858242 7719066799 8180464976 8553560507 9210100791 10013924496 10205787363 11096510928 12270697464 12280134388 13607716484 15438133598 17107121014 18420201582 20411574726 23157200397 24541394928 24560268776 25660681521 27215432968 30876267196 34214242028 36840403164 40823149452 46314400794 49120537552 51321363042 51360832339 54430865936 61752534392 68428484056 73680806328 81646298904 92628801588 102642726084 102721664678 113591243089 123505068784 125871377477 136856968112 147361612656 154082497017 163292597808 185257603176 205285452168 205443329356 227182486178 251742754954 308164994034 316481738759 340773729267 370515206352 377614132431 410570904336 410886658712 454364972356 503485509908 616329988068 632963477518 681547458534 755228264862 821773317424 908729944712 949445216277 1006971019816 1232659976136 1265926955036 1363094917068 1510456529724 1817459889424 1898890432554 1900350796543 2013942039632 2105794125899 2465319952272 2531853910072 2726189834136 3020913059448 3797780865108 3800701593086 4211588251798 4657240966649 5063707820144 5452379668272 5701052389629 6041826118896 6317382377697 7595561730216 7601403186172 8423176503596 9314481933298 11402104779258 12634764755394 13971722899947 15191123460432 15202806372344 16846353007192 18628963866596 22804209558516 25269529510788 27943445799894 30405612744688 33692706014384 37257927733192 45608419117032 50539059021576 55886891599788 70312979472091 74515855466384 77914382658263 91216838234064 101078118043152 111773783199576 140625958944182 155828765316526 210938938416273 223547566399152 233743147974789 281251917888364 311657530633052 421877876832546 467486295949578 562503835776728 623315061266104 843755753665092 934972591899156 1125007671553456 1246630122532208 1687511507330184 1869945183798312 2882832158355731 3375023014660368 3739890367596624 5765664316711462 8648496475067193 11531328633422924 17296992950134386 23062657266845848 34593985900268772 46125314533691696 69187971800537544 138375943601075088
• Sum of all divisors σ(n): 377003903377439520
• Sum of proper divisors (its aliquot sum) s(n): 238627959776364432
• 138375943601075088 is an abundant number, because the sum of its proper divisors (238627959776364432) is greater than itself. Its abundance is 100252016175289344

Bases of 138375943601075088

• Binary: 111101011100111000011000000000011110011010011001110010000₂
• Hexadecimal: 0x1EB9C3003CD3390
• Base-36: 11UI6EWR3AMO

Squares and roots of 138375943601075088

• 138375943601075088 squared (138375943601075088²) is 19147901767487913592907229414207744
• 138375943601075088 cubed (138375943601075088³) is 2649608975056833524429209183501443269883700175081472
• The square root of 138375943601075088 is 371989171.3492142609
• The cube root of 138375943601075088 is 517233.7617517543

Scales and comparisons

• 138,375,943,601,075,088 seconds is equal to 4,399,926,981 years, 32 weeks, 17 hours, 44 minutes, 48 seconds.
• To count from 1 to 138,375,943,601,075,088 would take you about thirteen billion, one hundred ninety-nine million, seven hundred eighty thousand, nine 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 138375943601075088 cubic inches would be around 43102.8 feet tall.

Recreational maths with 138375943601075088

• 138375943601075088 backwards is 880570106349573831
• The number of decimal digits it has is: 18
• The sum of 138375943601075088's digits is 78
• More coming soon!