13972496643724320

Names of 13972496643724320

• Cardinal: 13972496643724320 can be written as Thirteen quadrillion, nine hundred seventy-two trillion, four hundred ninety-six billion, six hundred forty-three million, seven hundred twenty-four thousand, three hundred twenty.

Scientific notation

• Scientific notation: 1.397249664372432 × 10¹⁶

Factors of 13972496643724320

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 13
• Sum of prime factors: 66480

Divisors of 13972496643724320

• Number of divisors d(n): 432
• Complete list of divisors:
  1 2 3 4 5 6 8 9 10 12 13 15 16 18 20 24 26 30 32 36 39 40 45 48 52 60 65 72 78 80 90 96 104 117 120 130 144 156 160 169 180 195 208 234 240 260 288 312 338 360 390 416 468 480 507 520 585 624 676 720 780 845 936 1014 1040 1170 1248 1352 1440 1521 1560 1690 1872 2028 2080 2197 2340 2535 2704 3042 3120 3380 3744 4056 4394 4680 5070 5408 6084 6240 6591 6760 7605 8112 8788 9360 10140 10985 12168 13182 13520 15210 16224 17576 18720 19773 20280 21970 24336 26364 27040 30420 32955 35152 39546 40560 43940 48672 52728 60840 65910 66457 70304 79092 81120 87880 98865 105456 121680 131820 132914 158184 175760 197730 199371 210912 243360 263640 265828 316368 332285 351520 395460 398742 527280 531656 598113 632736 664570 790920 797484 863941 996855 1054560 1063312 1196226 1329140 1581840 1594968 1727882 1993710 2126624 2392452 2591823 2658280 2990565 3163680 3189936 3455764 3987420 4319705 4784904 5183646 5316560 5981130 6379872 6911528 7775469 7974840 8639410 9569808 10367292 10633120 11231233 11962260 12959115 13823056 15550938 15949680 17278820 19139616 20734584 22462466 23924520 25918230 27646112 31101876 31899360 33693699 34557640 38877345 41469168 44924932 47849040 51836460 56156165 62203752 67387398 69115280 77754690 82938336 89849864 95698080 101081097 103672920 112312330 124407504 134774796 138230560 146006029 155509380 168468495 179699728 202162194 207345840 224624660 248815008 269549592 292012058 311018760 336936990 359399456 404324388 414691680 438018087 449249320 505405485 539099184 584024116 622037520 673873980 730030145 808648776 876036174 898498640 1010810970 1078198368 1168048232 1244075040 1314054261 1347747960 1460060290 1617297552 1752072348 1796997280 2021621940 2190090435 2336096464 2628108522 2695495920 2920120580 3234595104 3504144696 4043243880 4380180870 4416532849 4672192928 5256217044 5390991840 5840241160 6570271305 7008289392 8086487760 8760361740 8833065698 10512434088 11680482320 13140542610 13249598547 14016578784 16172975520 17520723480 17666131396 21024868176 22082664245 23360964640 26281085220 26499197094 35041446960 35332262792 39748795641 42049736352 44165328490 52562170440 52998394188 57414927037 66247992735 70082893920 70664525584 79497591282 88330656980 105124340880 105996788376 114829854074 132495985470 141329051168 158995182564 172244781111 176661313960 198743978205 210248681760 211993576752 229659708148 264991970940 287074635185 317990365128 344489562222 353322627920 397487956410 423987153504 459319416296 516734343333 529983941880 574149270370 635980730256 688979124444 706645255840 746394051481 794975912820 861223905555 918638832592 1033468686666 1059967883760 1148298540740 1271961460512 1377958248888 1492788102962 1589951825640 1722447811110 1837277665184 2066937373332 2119935767520 2239182154443 2296597081480 2583671716665 2755916497776 2985576205924 3179903651280 3444895622220 3731970257405 4133874746664 4478364308886 4593194162960 5167343433330 5511832995552 5971152411848 6359807302560 6717546463329 6889791244440 7463940514810 8267749493328 8956728617772 9186388325920 9703122669253 10334686866660 11195910772215 11942304823696 13435092926658 13779582488880 14927881029620 16535498986656 17913457235544 19406245338506 20669373733320 22391821544430 23884609647392 26870185853316 27559164977760 29109368007759 29855762059240 33587732316645 35826914471088 38812490677012 41338747466640 44783643088860 48515613346265 53740371706632 58218736015518 59711524118480 67175464633290 71653828942176 77624981354024 82677494933280 87328104023277 89567286177720 97031226692530 107480743413264 116437472031036 119423048236960 134350929266580 145546840038795 155249962708048 174656208046554 179134572355440 194062453385060 214961486826528 232874944062072 268701858533160 291093680077590 310499925416096 349312416093108 358269144710880 388124906770120 436640520116385 465749888124144 537403717066320 582187360155180 698624832186216 776249813540240 873281040232770 931499776248288 1074807434132640 1164374720310360 1397249664372432 1552499627080480 1746562080465540 2328749440620720 2794499328744864 3493124160931080 4657498881241440 6986248321862160 13972496643724320
• Sum of all divisors σ(n): 51653542207143240
• Sum of proper divisors (its aliquot sum) s(n): 37681045563418920
• 13972496643724320 is an abundant number, because the sum of its proper divisors (37681045563418920) is greater than itself. Its abundance is 23708548919694600

Bases of 13972496643724320

• Binary: 110001101000111110100101100011000100110001010000100000₂
• Hexadecimal: 0x31A3E963131420
• Base-36: 3TKU4CEI140

Squares and roots of 13972496643724320

• 13972496643724320 squared (13972496643724320²) is 195230662458887386986440159462400
• 13972496643724320 cubed (13972496643724320³) is 2727859775958879613615298326750787021025005568000
• The square root of 13972496643724320 is 118205315.6322689237
• The cube root of 13972496643724320 is 240856.2967596559

Scales and comparisons

• 13,972,496,643,724,320 seconds is equal to 444,282,173 years, 26 weeks, 5 hours, 12 minutes.
• To count from 1 to 13,972,496,643,724,320 would take you about one billion, three hundred thirty-two million, eight hundred forty-six thousand, five hundred twenty 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 13972496643724320 cubic inches would be around 20071.4 feet tall.

Recreational maths with 13972496643724320

• 13972496643724320 backwards is 02342734669427931
• 13972496643724320 is a Harshad number.
• The number of decimal digits it has is: 17
• The sum of 13972496643724320's digits is 72
• More coming soon!