138346461858575520

Names of 138346461858575520

• Cardinal: 138346461858575520 can be written as One hundred thirty-eight quadrillion, three hundred forty-six trillion, four hundred sixty-one billion, eight hundred fifty-eight million, five hundred seventy-five thousand, five hundred twenty.

Scientific notation

• Scientific notation: 1.3834646185857552 × 10¹⁷

Factors of 138346461858575520

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 12
• Sum of prime factors: 38943

Divisors of 138346461858575520

• Number of divisors d(n): 432
• Complete list of divisors:
  1 2 3 4 5 6 8 9 10 11 12 15 16 18 20 22 24 30 32 33 36 40 44 45 48 55 60 66 72 80 88 90 96 99 110 120 132 144 160 165 176 180 198 220 240 264 288 330 352 360 396 440 480 495 528 660 720 792 880 990 1056 1320 1440 1584 1760 1980 2640 3168 3960 5280 7920 13163 15840 25759 26326 39489 51518 52652 65815 77277 78978 103036 105304 118467 128795 131630 144793 154554 157956 197445 206072 210608 231831 236934 257590 263260 283349 289586 309108 315912 386385 394890 412144 421216 434379 463662 473868 515180 526520 566698 579172 592335 618216 631824 723965 772770 789780 824288 850047 868758 927324 947736 1030360 1053040 1133396 1158344 1159155 1184670 1236432 1263648 1303137 1416745 1447930 1545540 1579560 1700094 1737516 1854648 1895472 2060720 2106080 2171895 2266792 2316688 2318310 2369340 2472864 2550141 2606274 2833490 2895860 3091080 3159120 3400188 3475032 3709296 3790944 4121440 4250235 4343790 4533584 4633376 4636620 4738680 5100282 5212548 5666980 5791720 6182160 6318240 6515685 6800376 6950064 7418592 8500470 8687580 9067168 9273240 9477360 10200564 10425096 11333960 11583440 12364320 12750705 13031370 13600752 13900128 17000940 17375160 18546480 18954720 20401128 20850192 22667920 23166880 25501410 26062740 27201504 34001880 34750320 37092960 40802256 41700384 45335840 51002820 52125480 68003760 69500640 81604512 102005640 104250960 136007520 204011280 208501920 339065717 408022560 663526081 678131434 1017197151 1327052162 1356262868 1695328585 1990578243 2034394302 2654104324 2712525736 3051591453 3317630405 3390657170 3729722887 3981156486 4068788604 5085985755 5308208648 5425051472 5971734729 6103182906 6635260810 6781314340 7298786891 7459445774 7962312972 8137577208 9952891215 10171971510 10616417296 10850102944 11189168661 11943469458 12206365812 13270521620 13562628680 14597573782 14918891548 15257957265 15924625944 16275154416 18648614435 19905782430 20343943020 21232834592 21896360673 22378337322 23886938916 24412731624 26541043240 27125257360 29195147564 29837783096 29858673645 30515914530 31849251888 32550308832 33567505983 36493934455 37297228870 39811564860 40687886040 43792721346 44756674644 47773877832 48825463248 53082086480 54250514720 55945843305 58390295128 59675566192 59717347290 61031829060 63698503776 65689082019 67135011966 72987868910 74594457740 79623129720 81375772080 87585442692 89513349288 95547755664 97650926496 106164172960 109481803365 111891686610 116780590256 119351132384 119434694580 122063658120 131378164038 134270023932 145975737820 149188915480 159246259440 162751544160 167837529915 175170885384 179026698576 191095511328 218963606730 223783373220 233561180512 238869389160 244127316240 262756328076 268540047864 291951475640 298377830960 318492518880 328445410095 335675059830 350341770768 358053397152 437927213460 447566746440 477738778320 488254632480 525512656152 537080095728 583902951280 596755661920 656890820190 671350119660 700683541536 875854426920 895133492880 955477556640 1051025312304 1074160191456 1167805902560 1313781640380 1342700239320 1751708853840 1790266985760 2102050624608 2627563280760 2685400478640 3503417707680 5255126561520 5370800957280 8733993804203 10510253123040 17467987608406 26201981412609 34935975216812 43669969021015 52403962825218 69871950433624 78605944237827 87339938042030 96073931846233 104807925650436 131009907063045 139743900867248 157211888475654 174679876084060 192147863692466 209615851300872 262019814126090 279487801734496 288221795538699 314423776951308 349359752168120 384295727384932 393029721189135 419231702601744 480369659231165 524039628252180 576443591077398 628847553902616 698719504336240 768591454769864 786059442378270 838463405203488 864665386616097 960739318462330 1048079256504360 1152887182154796 1257695107805232 1397439008672480 1441108977693495 1537182909539728 1572118884756540 1729330773232194 1921478636924660 2096158513008720 2305774364309592 2515390215610464 2882217955386990 3074365819079456 3144237769513080 3458661546464388 3842957273849320 4192317026017440 4323326933080485 4611548728619184 5764435910773980 6288475539026160 6917323092928776 7685914547698640 8646653866160970 9223097457238368 11528871821547960 12576951078052320 13834646185857552 15371829095397280 17293307732321940 23057743643095920 27669292371715104 34586615464643880 46115487286191840 69173230929287760 138346461858575520
• Sum of all divisors σ(n): 515085269774598432
• Sum of proper divisors (its aliquot sum) s(n): 376738807916022912
• 138346461858575520 is an abundant number, because the sum of its proper divisors (376738807916022912) is greater than itself. Its abundance is 238392346057447392

Bases of 138346461858575520

• Binary: 111101011100000010101111111000011000000110011010010100000₂
• Hexadecimal: 0x1EB815FC30334A0
• Base-36: 11U7Q76MSX40

Squares and roots of 138346461858575520

• 138346461858575520 squared (138346461858575520²) is 19139743508786291123621363543270400
• 138346461858575520 cubed (138346461858575520³) is 2647915795321221017991543620540476693326826180608000
• The square root of 138346461858575520 is 371949542.0867937027
• The cube root of 138346461858575520 is 517197.0259934411

Scales and comparisons

• 138,346,461,858,575,520 seconds is equal to 4,398,989,553 years, 20 weeks, 5 days, 5 hours, 12 minutes.
• To count from 1 to 138,346,461,858,575,520 would take you about thirteen billion, one hundred ninety-six million, nine hundred sixty-eight thousand, six hundred sixty 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 138346461858575520 cubic inches would be around 43099.8 feet tall.

Recreational maths with 138346461858575520

• 138346461858575520 backwards is 025575858164643831
• The number of decimal digits it has is: 18
• The sum of 138346461858575520's digits is 81
• More coming soon!