138320439206910720

Names of 138320439206910720

• Cardinal: 138320439206910720 can be written as One hundred thirty-eight quadrillion, three hundred twenty trillion, four hundred thirty-nine billion, two hundred six million, nine hundred ten thousand, seven hundred twenty.

Scientific notation

• Scientific notation: 1.3832043920691072 × 10¹⁷

Factors of 138320439206910720

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 14
• Sum of prime factors: 5237273

Divisors of 138320439206910720

• Number of divisors d(n): 432
• Complete list of divisors:
  1 2 3 4 5 6 8 10 12 15 16 20 24 29 30 32 40 48 58 60 64 80 87 96 116 120 128 145 160 174 192 232 240 256 290 320 348 384 435 464 480 580 640 696 768 841 870 928 960 1160 1280 1392 1682 1740 1856 1920 2320 2523 2784 3364 3480 3712 3840 4205 4640 5046 5568 6728 6960 7424 8191 8410 9280 10092 11136 12615 13456 13920 16382 16820 18560 20184 22272 24573 25230 26912 27840 32764 33640 37120 40368 40955 49146 50460 53824 55680 65528 67280 80736 81910 98292 100920 107648 111360 122865 131056 134560 161472 163820 196584 201840 215296 237539 245730 262112 269120 322944 327640 393168 403680 475078 491460 524224 538240 645888 655280 712617 786336 807360 950156 982920 1048448 1076480 1187695 1310560 1425234 1572672 1614720 1900312 1965840 2096896 2375390 2621120 2850468 3145344 3229440 3563085 3800624 3931680 4750780 5229043 5242240 5700936 6290688 6888631 7126170 7601248 7863360 9501560 10458086 10484480 11401872 13777262 14252340 15202496 15687129 15726720 19003120 20665893 20916172 22803744 26145215 27554524 28504680 30404992 31374258 31453440 34443155 38006240 41331786 41832344 45607488 52290430 55109048 57009360 60809984 62748516 68886310 76012480 78435645 82663572 83664688 91214976 103329465 104580860 110218096 114018720 125497032 137772620 151642247 152024960 156871290 165327144 167329376 182429952 206658930 209161720 220436192 228037440 250994064 275545240 303284494 304049920 313742580 330654288 334658752 413317860 418323440 440872384 454926741 456074880 501988128 551090480 606568988 627485160 661308576 669317504 758211235 826635720 836646880 881744768 909853482 912149760 1003976256 1102180960 1213137976 1254970320 1322617152 1338635008 1516422470 1653271440 1673293760 1763489536 1819706964 2007952512 2204361920 2274633705 2426275952 2509940640 2645234304 3032844940 3306542880 3346587520 3639413928 4015905024 4397625163 4408723840 4549267410 4852551904 5019881280 5290468608 6065689880 6613085760 6693175040 7278827856 8795250326 8817447680 9098534820 9705103808 10039762560 12131379760 13192875489 13226171520 14557655712 17590500652 18197069640 19410207616 20079525120 21988125815 24262759520 26385750978 26452343040 29115311424 35181001304 36394139280 38820415232 42831091213 43976251630 48525519040 52771501956 58230622848 65964377445 70362002608 72788278560 85662182426 87952503260 97051038080 105543003912 116461245696 128493273639 131928754890 140724005216 145576557120 171324364852 175905006520 194102076160 211086007824 214155456065 256986547278 263857509780 281448010432 291153114240 342648729704 351810013040 422172015648 428310912130 513973094556 527715019560 562896020864 582306228480 642466368195 685297459408 703620026080 844344031296 856621824260 1027946189112 1055430039120 1125792041728 1242101645177 1284932736390 1370594918816 1407240052160 1688688062592 1713243648520 2055892378224 2110860078240 2484203290354 2569865472780 2741189837632 2814480104320 3377376125184 3426487297040 3726304935531 4111784756448 4221720156480 4968406580708 5139730945560 5482379675264 5628960208640 6210508225885 6852974594080 7452609871062 8223569512896 8443440312960 9936813161416 10279461891120 10964759350528 12421016451770 13705949188160 14905219742124 16447139025792 16886880625920 18631524677655 19873626322832 20558923782240 24842032903540 27411898376320 29810439484248 32894278051584 36020947710133 37263049355310 39747252645664 41117847564480 49684065807080 54823796752640 59620878968496 72041895420266 74526098710620 79494505291328 82235695128960 99368131614160 108062843130399 119241757936992 144083790840532 149052197421240 158989010582656 164471390257920 180104738550665 198736263228320 216125686260798 238483515873984 288167581681064 298104394842480 317978021165312 360209477101330 397472526456640 432251372521596 476967031747968 540314215651995 576335163362128 596208789684960 720418954202660 794945052913280 864502745043192 953934063495936 1080628431303990 1152670326724256 1192417579369920 1440837908405320 1589890105826560 1729005490086384 2161256862607980 2305340653448512 2384835158739840 2881675816810640 3458010980172768 4322513725215960 4610681306897024 4769670317479680 5763351633621280 6916021960345536 8645027450431920 9221362613794048 11526703267242560 13832043920691072 17290054900863840 23053406534485120 27664087841382144 34580109801727680 46106813068970240 69160219603455360 138320439206910720
• Sum of all divisors σ(n): 457575261647142912
• Sum of proper divisors (its aliquot sum) s(n): 319254822440232192
• 138320439206910720 is an abundant number, because the sum of its proper divisors (319254822440232192) is greater than itself. Its abundance is 180934383233321472

Bases of 138320439206910720

• Binary: 111101011011010011011010011100100000110101001101100000000₂
• Hexadecimal: 0x1EB69B4E41A9B00
• Base-36: 11TYI4JJVXMO

Squares and roots of 138320439206910720

• 138320439206910720 squared (138320439206910720²) is 19132543902392684291224206050918400
• 138320439206910720 cubed (138320439206910720³) is 2646421875724457675826216057819379596601482805248000
• The square root of 138320439206910720 is 371914559.0144471879
• The cube root of 138320439206910720 is 517164.5961025337

Scales and comparisons

• 138,320,439,206,910,720 seconds is equal to 4,398,162,113 years, 29 weeks, 4 days, 5 hours, 52 minutes.
• To count from 1 to 138,320,439,206,910,720 would take you about thirteen billion, one hundred ninety-four million, four hundred eighty-six thousand, three hundred forty 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 138320439206910720 cubic inches would be around 43097 feet tall.

Recreational maths with 138320439206910720

• 138320439206910720 backwards is 027019602934023831
• 138320439206910720 is a Harshad number.
• The number of decimal digits it has is: 18
• The sum of 138320439206910720's digits is 60
• More coming soon!