40641963648000

Names of 40641963648000

• Cardinal: 40641963648000 can be written as Forty trillion, six hundred forty-one billion, nine hundred sixty-three million, six hundred forty-eight thousand.

Scientific notation

• Scientific notation: 4.0641963648 × 10¹³

Factors of 40641963648000

• Number of distinct prime factors ω(n): 7
• Total number of prime factors Ω(n): 20
• Sum of prime factors: 248

Divisors of 40641963648000

• Number of divisors d(n): 3168
• Complete list of divisors:
  1 2 3 4 5 6 8 10 11 12 13 15 16 17 20 22 24 25 26 30 32 33 34 39 40 44 48 50 51 52 55 60 64 65 66 68 75 78 80 85 88 96 100 102 104 110 120 125 128 130 132 136 143 150 156 160 165 169 170 176 187 192 195 197 200 204 208 220 221 240 250 255 256 260 264 272 275 286 289 300 312 320 325 330 338 340 352 374 375 384 390 394 400 408 416 425 429 440 442 480 500 507 510 512 520 528 544 550 561 572 578 591 600 624 640 650 660 663 676 680 704 715 748 750 768 780 788 800 816 825 832 845 850 858 867 880 884 935 960 975 985 1000 1014 1020 1024 1040 1056 1088 1100 1105 1122 1144 1156 1182 1200 1248 1275 1280 1300 1320 1326 1352 1360 1375 1408 1430 1445 1496 1500 1536 1560 1576 1600 1625 1632 1650 1664 1690 1700 1716 1734 1760 1768 1859 1870 1920 1950 1970 2000 2028 2040 2080 2112 2125 2145 2167 2176 2200 2210 2244 2288 2312 2364 2400 2431 2496 2535 2550 2560 2561 2600 2640 2652 2704 2720 2750 2805 2816 2860 2873 2890 2955 2992 3000 3072 3120 3152 3179 3200 3250 3264 3300 3315 3328 3349 3380 3400 3432 3468 3520 3536 3575 3718 3740 3757 3840 3900 3940 4000 4056 4080 4125 4160 4224 4225 4250 4290 4334 4335 4352 4400 4420 4488 4576 4624 4675 4728 4800 4862 4875 4925 4992 5070 5100 5120 5122 5200 5280 5304 5408 5440 5500 5525 5577 5610 5632 5720 5746 5780 5910 5984 6000 6240 6304 6358 6375 6400 6500 6501 6528 6600 6630 6656 6698 6760 6800 6864 6936 7040 7072 7150 7225 7293 7436 7480 7514 7680 7683 7800 7880 8000 8112 8160 8250 8320 8448 8450 8500 8580 8619 8668 8670 8704 8800 8840 8976 9152 9248 9295 9350 9456 9537 9600 9724 9750 9850 9984 10047 10140 10200 10244 10400 10560 10608 10725 10816 10835 10880 11000 11050 11154 11220 11264 11271 11440 11492 11560 11820 11968 12000 12155 12480 12608 12675 12716 12750 12800 12805 13000 13002 13056 13200 13260 13312 13396 13520 13600 13728 13872 14025 14080 14144 14300 14365 14450 14586 14775 14872 14960 15028 15360 15366 15600 15760 15895 16000 16224 16320 16500 16575 16640 16745 16896 16900 17000 17160 17238 17336 17340 17408 17600 17680 17875 17952 18304 18496 18590 18700 18785 18912 19074 19200 19448 19500 19700 19968 20094 20280 20400 20488 20800 21120 21125 21216 21450 21632 21670 21675 21760 22000 22100 22308 22440 22542 22880 22984 23120 23375 23640 23936 24000 24310 24625 24960 25216 25350 25432 25500 25600 25610 26000 26004 26112 26400 26520 26792 27040 27200 27456 27625 27744 27885 28050 28160 28171 28288 28600 28730 28900 29172 29550 29744 29920 30056 30732 31200 31520 31603 31790 32000 32448 32505 32640 33000 33150 33280 33293 33490 33792 33800 34000 34320 34476 34672 34680 35200 35360 35750 35904 36125 36465 36608 36839 36992 37180 37400 37570 37824 38148 38400 38415 38896 39000 39400 39936 40188 40560 40800 40976 41327 41600 42240 42250 42432 42900 43095 43264 43340 43350 43520 43537 44000 44200 44616 44880 45084 45760 45968 46240 46475 46750 47280 47685 47872 48000 48620 48841 49250 49920 50235 50432 50700 50864 51000 51220 52000 52008 52224 52800 53040 53584 53625 54080 54175 54400 54912 55250 55488 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1042101632000 1195351872000 1231574656000 1270061364000 1354732121600 1563152448000 1625678545920 1693415152000 1847361984000 2032098182400 2390703744000 2540122728000 2709464243200 3126304896000 3386830304000 3694723968000 4064196364800 5080245456000 6773660608000 8128392729600 10160490912000 13547321216000 20320981824000 40641963648000
• Sum of all divisors σ(n): 170505476938368
• Sum of proper divisors (its aliquot sum) s(n): 129863513290368
• 40641963648000 is an abundant number, because the sum of its proper divisors (129863513290368) is greater than itself. Its abundance is 89221549642368

Bases of 40641963648000

• Binary: 1001001111011010110001110011100110010000000000₂
• Hexadecimal: 0x24F6B1CE6400
• Base-36: EEMNRT7UO

Squares and roots of 40641963648000

• 40641963648000 squared (40641963648000²) is 1651769209165353467904000000
• 40641963648000 cubed (40641963648000³) is 67131144153784004063625102753792000000000
• The square root of 40641963648000 is 6375104.9911354401
• The cube root of 40641963648000 is 34381.5058693137

Scales and comparisons

• 40,641,963,648,000 seconds is equal to 1,292,288 years, 37 weeks, 6 days, 18 hours, 40 minutes.
• To count from 1 to 40,641,963,648,000 would take you about three million, two hundred thirty thousand, seven hundred twenty-one 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 40641963648000 cubic inches would be around 2865.1 feet tall.

Recreational maths with 40641963648000

• 40641963648000 backwards is 00084636914604
• 40641963648000 is a Harshad number.
• The number of decimal digits it has is: 14
• The sum of 40641963648000's digits is 51
• More coming soon!