13138991970048

Names of 13138991970048

• Cardinal: 13138991970048 can be written as Thirteen trillion, one hundred thirty-eight billion, nine hundred ninety-one million, nine hundred seventy thousand and forty-eight.

Scientific notation

• Scientific notation: 1.3138991970048 × 10¹³

Factors of 13138991970048

• Number of distinct prime factors ω(n): 4
• Total number of prime factors Ω(n): 16
• Sum of prime factors: 461

Divisors of 13138991970048

• Number of divisors d(n): 360
• Complete list of divisors:
  1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 54 56 63 64 72 81 84 96 108 112 126 128 144 162 168 189 192 216 224 252 256 288 324 336 378 384 432 448 449 504 567 576 648 672 756 768 864 896 898 1008 1134 1152 1296 1344 1347 1512 1728 1792 1796 2016 2268 2304 2592 2688 2694 3024 3143 3456 3592 4032 4041 4536 5184 5376 5388 6048 6286 6912 7184 8064 8082 9072 9429 10368 10776 12096 12123 12572 14368 16128 16164 18144 18858 20736 21552 24192 24246 25144 28287 28736 32328 36288 36369 37716 43104 48384 48492 50288 56574 57472 64656 72576 72738 75432 84861 86208 96984 100576 113148 114944 129312 145152 145476 150864 169722 172416 193968 201152 201601 226296 254583 258624 290952 301728 339444 344832 387936 402304 403202 452592 509166 517248 581904 603456 604803 678888 775872 804608 806404 905184 1018332 1034496 1163808 1206912 1209606 1357776 1411207 1551744 1612808 1810368 1814409 2036664 2327616 2413824 2419212 2715552 2822414 3103488 3225616 3620736 3628818 4073328 4233621 4655232 4838424 5431104 5443227 5644828 6451232 7241472 7257636 8146656 8467242 9310464 9676848 10862208 10886454 11289656 12700863 12902464 14515272 16293312 16329681 16934484 19353696 21724416 21772908 22579312 25401726 25804928 29030544 32586624 32659362 33868968 38102589 38707392 43545816 45158624 50803452 51609856 58061088 65173248 65318724 67737936 76205178 77414784 87091632 90317248 90518849 101606904 114307767 116122176 130637448 135475872 152410356 154829568 174183264 180634496 181037698 203213808 228615534 232244352 261274896 270951744 271556547 304820712 348366528 361268992 362075396 406427616 457231068 464488704 522549792 541903488 543113094 609641424 633631943 696733056 724150792 812855232 814669641 914462136 1045099584 1083806976 1086226188 1219282848 1267263886 1393466112 1448301584 1625710464 1629339282 1828924272 1900895829 2090199168 2172452376 2438565696 2444008923 2534527772 2896603168 3251420928 3258678564 3657848544 3801791658 4180398336 4344904752 4877131392 4888017846 5069055544 5702687487 5793206336 6517357128 7315697088 7332026769 7603583316 8689809504 9754262784 9776035692 10138111088 11405374974 11586412672 13034714256 14631394176 14664053538 15207166632 17108062461 17379619008 19552071384 20276222176 22810749948 23172825344 26069428512 29262788352 29328107076 30414333264 34216124922 34759238016 39104142768 40552444352 45621499896 51324187383 52138857024 58656214152 60828666528 68432249844 69518476032 78208285536 81104888704 91242999792 102648374766 104277714048 117312428304 121657333056 136864499688 156416571072 162209777408 182485999584 205296749532 208555428096 234624856608 243314666112 273728999376 312833142144 364971999168 410593499064 469249713216 486629332224 547457998752 625666284288 729943998336 821186998128 938499426432 1094915997504 1459887996672 1642373996256 1876998852864 2189831995008 3284747992512 4379663990016 6569495985024 13138991970048
• Sum of all divisors σ(n): 44874911743200
• Sum of proper divisors (its aliquot sum) s(n): 31735919773152
• 13138991970048 is an abundant number, because the sum of its proper divisors (31735919773152) is greater than itself. Its abundance is 18596927803104

Bases of 13138991970048

• Binary: 10111111001100101000111100101111011100000000₂
• Hexadecimal: 0xBF328F2F700
• Base-36: 4NNYWKW00

Squares and roots of 13138991970048

• 13138991970048 squared (13138991970048²) is 172633109988985824129122304
• 13138991970048 cubed (13138991970048³) is 2268225045909697920955841514962096750592
• The square root of 13138991970048 is 3624774.7474909389
• The cube root of 13138991970048 is 23596.8491257159

Scales and comparisons

• 13,138,991,970,048 seconds is equal to 417,779 years, 15 weeks, 5 days, 7 hours, 40 minutes, 48 seconds.
• To count from 1 to 13,138,991,970,048 would take you about one million, forty-four thousand, four hundred forty-eight 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 13138991970048 cubic inches would be around 1966.4 feet tall.

Recreational maths with 13138991970048

• 13138991970048 backwards is 84007919983131
• 13138991970048 is a Harshad number.
• The number of decimal digits it has is: 14
• The sum of 13138991970048's digits is 63
• More coming soon!