13531954865408000

Names of 13531954865408000

• Cardinal: 13531954865408000 can be written as Thirteen quadrillion, five hundred thirty-one trillion, nine hundred fifty-four billion, eight hundred sixty-five million, four hundred eight thousand.

Scientific notation

• Scientific notation: 1.3531954865408 × 10¹⁶

Factors of 13531954865408000

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 22
• Sum of prime factors: 140

Divisors of 13531954865408000

• Number of divisors d(n): 1920
• Complete list of divisors:
  1 2 4 5 7 8 10 14 16 17 20 25 28 32 34 35 40 49 50 56 64 68 70 80 85 98 100 109 112 119 125 128 136 140 160 170 175 196 200 218 224 238 245 250 256 272 280 320 340 343 350 392 400 425 436 448 476 490 500 512 544 545 560 595 640 680 686 700 763 784 800 833 850 872 875 896 952 980 1000 1024 1088 1090 1120 1190 1225 1280 1360 1372 1400 1526 1568 1600 1666 1700 1715 1744 1750 1792 1853 1904 1960 2000 2048 2125 2176 2180 2240 2380 2401 2450 2560 2720 2725 2744 2800 2975 3052 3136 3200 3332 3400 3430 3488 3500 3584 3706 3808 3815 3920 4000 4165 4250 4352 4360 4480 4760 4802 4900 5120 5341 5440 5450 5488 5600 5831 5950 6104 6125 6272 6400 6664 6800 6860 6976 7000 7168 7412 7616 7630 7840 8000 8330 8500 8575 8704 8720 8960 9265 9520 9604 9800 10240 10682 10880 10900 10976 11200 11662 11881 11900 12005 12208 12250 12544 12800 12971 13328 13600 13625 13720 13952 14000 14336 14824 14875 15232 15260 15680 16000 16660 17000 17150 17408 17440 17920 18530 19040 19075 19208 19600 20825 21364 21760 21800 21952 22400 23324 23762 23800 24010 24416 24500 25088 25600 25942 26656 26705 27200 27250 27440 27904 28000 29155 29648 29750 30464 30520 31360 32000 33320 34000 34300 34816 34880 35840 37060 37387 38080 38150 38416 39200 40817 41650 42728 42875 43520 43600 43904 44800 46325 46648 47524 47600 48020 48832 49000 50176 51200 51884 53312 53410 54400 54500 54880 55808 56000 58310 59296 59405 59500 60025 60928 61040 62720 64000 64855 66640 68000 68600 69760 71680 74120 74774 76160 76300 76832 78400 81634 83167 83300 85456 85750 87040 87200 87808 89600 90797 92650 93296 95048 95200 95375 96040 97664 98000 100352 103768 104125 106624 106820 108800 109000 109760 111616 112000 116620 118592 118810 119000 120050 121856 122080 125440 128000 129710 133280 133525 136000 137200 139520 145775 148240 149548 152320 152600 153664 156800 163268 166334 166600 170912 171500 174080 174400 175616 179200 181594 185300 186592 186935 190096 190400 190750 192080 195328 196000 201977 204085 207536 208250 213248 213640 217600 218000 219520 223232 224000 231625 233240 237184 237620 238000 240100 243712 244160 250880 256000 259420 261709 266560 267050 272000 274400 279040 291550 296480 297025 299096 300125 304640 305200 307328 313600 324275 326536 332668 333200 341824 343000 348800 351232 358400 363188 370600 373184 373870 380192 380800 381500 384160 390656 392000 403954 408170 415072 415835 416500 426496 427280 435200 436000 439040 448000 453985 463250 466480 474368 475240 476000 480200 488320 501760 518840 523418 533120 534100 544000 548800 558080 582169 583100 592960 594050 598192 600250 609280 610400 614656 627200 635579 648550 653072 665336 666400 667625 683648 686000 697600 702464 726376 728875 741200 746368 747740 760384 761600 763000 768320 781312 784000 807908 816340 830144 831670 833000 852992 854560 870400 872000 878080 896000 907970 926500 932960 934675 948736 950480 952000 960400 976640 1009885 1020425 1037680 1046836 1066240 1068200 1088000 1097600 1116160 1164338 1166200 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1591994690048 1624484377600 1691494358176 1726014651200 1773519641600 1776779788000 1825681984000 1887828524750 1933136409344 1939787108000 1972588172800 1989993362560 2030605472000 2114367947720 2157518314000 2209298753536 2216899552000 2274278128640 2320691968000 2416420511680 2465735216000 2482927498240 2487491703200 2533599488000 2642959934650 2761623441920 2817983104000 2842847660800 3020525639600 3103659372800 3109364629000 3183989380096 3248968755200 3382988716352 3452029302400 3547039283200 3553559576000 3651363968000 3775657049500 3866272818688 3879574216000 3945176345600 3979986725120 4061210944000 4228735895440 4315036628000 4433799104000 4548556257280 4832841023360 4931470432000 4965854996480 4974983406400 5285919869300 5523246883840 5635966208000 5685695321600 6041051279200 6207318745600 6218729258000 6367978760192 6607399836625 6765977432704 6904058604800 7107119152000 7302727936000 7551314099000 7732545637376 7759148432000 7890352691200 7959973450240 8122421888000 8457471790880 8630073256000 8867598208000 9665682046720 9862940864000 9949966812800 10571839738600 11046493767680 11371390643200 12082102558400 12414637491200 12437458516000 13214799673250 13531954865408 13808117209600 14214238304000 15102628198000 15465091274752 15518296864000 15919946900480 16244843776000 16914943581760 17260146512000 17735196416000 19331364093440 19725881728000 19899933625600 21143679477200 22742781286400 24164205116800 24829274982400 24874917032000 26429599346500 27063909730816 27616234419200 28428476608000 30205256396000 31036593728000 31839893800960 33829887163520 34520293024000 38662728186880 39451763456000 39799867251200 42287358954400 48328410233600 49749834064000 52859198693000 54127819461632 55232468838400 56856953216000 60410512792000 62073187456000 67659774327040 69040586048000 77325456373760 79599734502400 84574717908800 96656820467200 99499668128000 105718397386000 108255638923264 113713906432000 120821025584000 124146374912000 135319548654080 138081172096000 159199469004800 169149435817600 193313640934400 198999336256000 211436794772000 241642051168000 270639097308160 276162344192000 338298871635200 386627281868800 397998672512000 422873589544000 483284102336000 541278194616320 676597743270400 795997345024000 845747179088000 966568204672000 1353195486540800 1691494358176000 1933136409344000 2706390973081600 3382988716352000 6765977432704000 13531954865408000
• Sum of all divisors σ(n): 42096535135855200
• Sum of proper divisors (its aliquot sum) s(n): 28564580270447200
• 13531954865408000 is an abundant number, because the sum of its proper divisors (28564580270447200) is greater than itself. Its abundance is 15032625405039200

Bases of 13531954865408000

• Binary: 110000000100110011110111000010110111101000100000000000₂
• Hexadecimal: 0x30133DC2DE8800
• Base-36: 3P8OE8U55A8

Squares and roots of 13531954865408000

• 13531954865408000 squared (13531954865408000²) is 183113802479439243395006464000000
• 13531954865408000 cubed (13531954865408000³) is 2477887710385007363542588048536409997312000000000
• The square root of 13531954865408000 is 116326930.9549942523
• The cube root of 13531954865408000 is 238297.8808207167

Scales and comparisons

• 13,531,954,865,408,000 seconds is equal to 430,274,307 years, 33 weeks, 6 hours, 13 minutes, 20 seconds.
• To count from 1 to 13,531,954,865,408,000 would take you about one billion, two hundred ninety million, eight hundred twenty-two thousand, nine hundred twenty-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 13531954865408000 cubic inches would be around 19858.2 feet tall.

Recreational maths with 13531954865408000

• 13531954865408000 backwards is 00080456845913531
• The number of decimal digits it has is: 17
• The sum of 13531954865408000's digits is 62
• More coming soon!