13239860936024448

Names of 13239860936024448

• Cardinal: 13239860936024448 can be written as Thirteen quadrillion, two hundred thirty-nine trillion, eight hundred sixty billion, nine hundred thirty-six million, twenty-four thousand, four hundred forty-eight.

Scientific notation

• Scientific notation: 1.3239860936024448 × 10¹⁶

Factors of 13239860936024448

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 13
• Sum of prime factors: 10532751

Divisors of 13239860936024448

• Number of divisors d(n): 384
• Complete list of divisors:
  1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 47 48 64 66 72 88 94 96 99 128 132 141 144 176 188 192 198 264 282 288 352 376 384 396 423 517 528 564 576 704 752 792 846 1034 1056 1128 1152 1408 1504 1551 1584 1692 2068 2111 2112 2256 3008 3102 3168 3384 4136 4222 4224 4512 4653 6016 6204 6333 6336 6768 8272 8444 9024 9306 12408 12666 12672 13536 16544 16888 18048 18612 18999 23221 24816 25332 27072 33088 33776 37224 37998 46442 49632 50664 54144 66176 67552 69663 74448 75996 92884 99217 99264 101328 135104 139326 148896 151992 185768 198434 198528 202656 208989 270208 278652 297651 297792 303984 371536 396868 405312 417978 557304 595302 595584 607968 743072 793736 810624 835956 892953 1091387 1114608 1190604 1215936 1486144 1587472 1671912 1785906 2182774 2229216 2381208 2431872 2972288 3174944 3274161 3343824 3571812 4365548 4458432 4762416 6349888 6548322 6687648 7143624 8731096 8916864 9524832 9822483 10530577 12699776 13096644 13375296 14287248 17462192 19049664 19644966 21061154 26193288 26750592 28574496 31591731 34924384 38099328 39289932 42122308 52386576 57148992 63183462 69848768 78579864 84244616 94775193 104773152 114297984 115836347 126366924 139697536 157159728 168489232 189550386 209546304 231672694 252733848 314319456 336978464 347509041 379100772 419092608 463345388 494937119 505467696 628638912 673956928 695018082 758201544 926690776 989874238 1010935392 1042527123 1257277824 1347913856 1390036164 1484811357 1516403088 1853381552 1979748476 2021870784 2085054246 2780072328 2969622714 3032806176 3706763104 3959496952 4043741568 4170108492 4454434071 5444308309 5560144656 5939245428 6065612352 7413526208 7918993904 8340216984 8908868142 10888616618 11120289312 11878490856 12131224704 14827052416 15837987808 16332924927 16680433968 17817736284 21777233236 22230048047 22240578624 23756981712 31675975616 32665849854 33360867936 35635472568 43554466472 44460096094 44481157248 47513963424 48998774781 63351951232 65331699708 66690144141 66721735872 71270945136 87108932944 88920192188 95027926848 97997549562 130663399416 133380288282 133443471744 142541890272 174217865888 177840384376 190055853696 195995099124 200070432423 244530528517 261326798832 266760576564 285083780544 348435731776 355680768752 391990198248 400140864846 489061057034 522653597664 533521153128 570167561088 696871463552 711361537504 733591585551 783980396496 800281729692 978122114068 1044812258209 1045307195328 1067042306256 1422723075008 1467183171102 1567960792992 1600563459384 1956244228136 2089624516418 2090614390656 2134084612512 2200774756653 2845446150016 2934366342204 3134436774627 3135921585984 3201126918768 3912488456272 4179249032836 4268169225024 4401549513306 5868732684408 6268873549254 6271843171968 6402253837536 7824976912544 8358498065672 8536338450048 8803099026612 9403310323881 11492934840299 11737465368816 12537747098508 12804507675072 15649953825088 16716996131344 17606198053224 18806620647762 22985869680598 23474930737632 25075494197016 25609015350144 31299907650176 33433992262688 34478804520897 35212396106448 37613241295524 45971739361196 46949861475264 50150988394032 66867984525376 68957609041794 70424792212896 75226482591048 91943478722392 93899722950528 100301976788064 103436413562691 133735969050752 137915218083588 140849584425792 150452965182096 183886957444784 200603953576128 206872827125382 275830436167176 281699168851584 300905930364192 367773914889568 401207907152256 413745654250764 551660872334352 601811860728384 735547829779136 827491308501528 1103321744668704 1203623721456768 1471095659558272 1654982617003056 2206643489337408 3309965234006112 4413286978674816 6619930468012224 13239860936024448
• Sum of all divisors σ(n): 42467054480547840
• Sum of proper divisors (its aliquot sum) s(n): 29227193544523392
• 13239860936024448 is an abundant number, because the sum of its proper divisors (29227193544523392) is greater than itself. Its abundance is 15987332608498944

Bases of 13239860936024448

• Binary: 101111000010011001010101010111111101111010000110000000₂
• Hexadecimal: 0x2F099557F7A180
• Base-36: 3MD505A89S0

Squares and roots of 13239860936024448

• 13239860936024448 squared (13239860936024448²) is 175293917605266172336327253704704
• 13239860936024448 cubed (13239860936024448³) is 2320867092024651848695596607418350297741516603392
• The square root of 13239860936024448 is 115064594.6241694627
• The cube root of 13239860936024448 is 236570.8014550655

Scales and comparisons

• 13,239,860,936,024,448 seconds is equal to 420,986,624 years, 9 weeks, 4 days, 23 hours, 40 minutes, 48 seconds.
• To count from 1 to 13,239,860,936,024,448 would take you about one billion, two hundred sixty-two million, nine hundred fifty-nine thousand, eight hundred seventy-two 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 13239860936024448 cubic inches would be around 19714.2 feet tall.

Recreational maths with 13239860936024448

• 13239860936024448 backwards is 84442063906893231
• 13239860936024448 is a Harshad number.
• The number of decimal digits it has is: 17
• The sum of 13239860936024448's digits is 72
• More coming soon!