13948351888640

Names of 13948351888640

• Cardinal: 13948351888640 can be written as Thirteen trillion, nine hundred forty-eight billion, three hundred fifty-one million, eight hundred eighty-eight thousand, six hundred forty.

Scientific notation

• Scientific notation: 1.394835188864 × 10¹³

Factors of 13948351888640

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 15
• Sum of prime factors: 874

Divisors of 13948351888640

• Number of divisors d(n): 432
• Complete list of divisors:
  1 2 4 5 8 10 13 16 20 26 32 40 43 52 64 65 80 86 104 128 130 160 169 172 208 215 256 260 320 338 344 416 430 520 559 640 676 688 811 832 845 860 1040 1118 1280 1352 1376 1622 1664 1690 1720 1849 2080 2236 2704 2752 2795 3244 3328 3380 3440 3698 4055 4160 4472 5408 5504 5590 6488 6760 6880 7267 7396 8110 8320 8944 9245 10543 10816 11008 11180 12976 13520 13760 14534 14792 16220 16640 17888 18490 21086 21632 22360 24037 25952 27040 27520 29068 29584 32440 34873 35776 36335 36980 42172 43264 44720 48074 51904 52715 54080 55040 58136 59168 64880 69746 71552 72670 73960 79507 84344 89440 96148 103808 105430 108160 116272 118336 120185 129760 137059 139492 143104 145340 147920 159014 168688 174365 178880 192296 207616 210860 216320 232544 236672 240370 259520 274118 278984 290680 295840 312481 318028 337376 348730 357760 384592 397535 421720 453349 465088 473344 480740 519040 548236 557968 581360 591680 624962 636056 674752 685295 697460 715520 769184 795070 843440 906698 930176 961480 1033591 1038080 1096472 1115936 1162720 1183360 1249924 1272112 1349504 1370590 1394920 1499539 1538368 1562405 1590140 1686880 1813396 1860352 1922960 2067182 2192944 2231872 2266745 2325440 2366720 2499848 2544224 2699008 2741180 2789840 2999078 3076736 3124810 3180280 3373760 3626792 3845920 4134364 4385888 4463744 4533490 4650880 4999696 5088448 5167955 5482360 5579680 5893537 5998156 6153472 6249620 6360560 6747520 7253584 7497695 7691840 8268728 8771776 8927488 9066980 9301760 9999392 10176896 10335910 10964720 11159360 11787074 11996312 12499240 12721120 13436683 13495040 14507168 14995390 15383680 16537456 17543552 18133960 19494007 19998784 20353792 20671820 21929440 22318720 23574148 23992624 24998480 25442240 26873366 29014336 29467685 29990780 30767360 33074912 35087104 36267920 38988014 39997568 41343640 43858880 44637440 47148296 47985248 49996960 50884480 53746732 58028672 58935370 59981560 64480177 66149824 67183415 72535840 77976028 79995136 82687280 87717760 94296592 95970496 97470035 99993920 101768960 107493464 116057344 117870740 119963120 128960354 132299648 134366830 145071680 155952056 165374560 175435520 188593184 191940992 194940070 199987840 214986928 235741480 239926240 253422091 257920708 264599296 268733660 290143360 311904112 322400885 330749120 377186368 383881984 389880140 399975680 429973856 471482960 479852480 506844182 515841416 537467320 580286720 623808224 644801770 661498240 754372736 779760280 838242301 859947712 942965920 959704960 1013688364 1031682832 1074934640 1247616448 1267110455 1289603540 1322996480 1508745472 1559520560 1676484602 1719895424 1885931840 1919409920 2027376728 2063365664 2149869280 2495232896 2534220910 2579207080 3119041120 3352969204 3439790848 3771863680 4054753456 4126731328 4191211505 4299738560 4990465792 5068441820 5158414160 6238082240 6705938408 7543727360 8109506912 8253462656 8382423010 8599477120 10136883640 10316828320 10897149913 12476164480 13411876816 16219013824 16506925312 16764846020 17198954240 20273767280 20633656640 21794299826 24952328960 26823753632 32438027648 33529692040 40547534560 41267313280 43588599652 53647507264 54485749565 64876055296 67059384080 81095069120 82534626560 87177199304 107295014528 108971499130 134118768160 162190138240 174354398608 214590029056 217942998260 268237536320 324380276480 348708797216 435885996520 536475072640 697417594432 871771993040 1072950145280 1394835188864 1743543986080 2789670377728 3487087972160 6974175944320 13948351888640
• Sum of all divisors σ(n): 37085460350400
• Sum of proper divisors (its aliquot sum) s(n): 23137108461760
• 13948351888640 is an abundant number, because the sum of its proper divisors (23137108461760) is greater than itself. Its abundance is 9188756573120

Bases of 13948351888640

• Binary: 11001010111110011010100011110011110100000000₂
• Hexadecimal: 0xCAF9A8F3D00
• Base-36: 4XZS8KU0W

Squares and roots of 13948351888640

• 13948351888640 squared (13948351888640²) is 194556520409327054961049600
• 13948351888640 cubed (13948351888640³) is 2713742808898663732937405269796716544000
• The square root of 13948351888640 is 3734749.2403962009
• The cube root of 13948351888640 is 24071.7481929771

Scales and comparisons

• 13,948,351,888,640 seconds is equal to 443,514 years, 23 weeks, 23 hours, 17 minutes, 20 seconds.
• To count from 1 to 13,948,351,888,640 would take you about one million, one hundred eight thousand, seven hundred eighty-six 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 13948351888640 cubic inches would be around 2006 feet tall.

Recreational maths with 13948351888640

• 13948351888640 backwards is 04688815384931
• The number of decimal digits it has is: 14
• The sum of 13948351888640's digits is 68
• More coming soon!