3993427709440000

Names of 3993427709440000

• Cardinal: 3993427709440000 can be written as Three quadrillion, nine hundred ninety-three trillion, four hundred twenty-seven billion, seven hundred nine million, four hundred forty thousand.

Scientific notation

• Scientific notation: 3.99342770944 × 10¹⁵

Factors of 3993427709440000

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 23
• Sum of prime factors: 97

Divisors of 3993427709440000

• Number of divisors d(n): 3510
• Complete list of divisors:
  1 2 4 5 8 10 13 16 17 19 20 25 26 32 34 38 40 41 50 52 64 65 68 76 80 82 85 95 100 104 125 128 130 136 152 160 164 169 170 190 200 205 208 221 247 250 256 260 272 289 304 320 323 325 328 338 340 380 400 410 416 425 442 475 494 500 512 520 533 544 578 608 625 640 646 650 656 676 680 697 760 779 800 820 832 845 850 884 950 988 1000 1024 1025 1040 1066 1088 1105 1156 1216 1235 1250 1280 1292 1300 1312 1352 1360 1394 1445 1520 1558 1600 1615 1625 1640 1664 1681 1690 1700 1768 1900 1976 2000 2048 2050 2080 2125 2132 2176 2210 2312 2375 2432 2470 2500 2560 2584 2600 2624 2665 2704 2720 2788 2873 2890 3040 3116 3200 3211 3230 3250 3280 3328 3362 3380 3400 3485 3536 3757 3800 3895 3952 4000 4096 4100 4160 4199 4225 4250 4264 4352 4420 4624 4750 4864 4940 5000 5120 5125 5168 5200 5248 5330 5408 5440 5491 5525 5576 5746 5780 6080 6175 6232 6400 6422 6460 6500 6560 6656 6724 6760 6800 6929 6970 7072 7225 7514 7600 7790 7904 8000 8075 8125 8200 8320 8398 8405 8450 8500 8528 8704 8840 9061 9248 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• Sum of all divisors σ(n): 12384905527751460
• Sum of proper divisors (its aliquot sum) s(n): 8391477818311460
• 3993427709440000 is an abundant number, because the sum of its proper divisors (8391477818311460) is greater than itself. Its abundance is 4398050108871460

Bases of 3993427709440000

• Binary: 1110001100000000000001011000000011101011000000000000₂
• Hexadecimal: 0xE3000580EB000
• Base-36: 13BJVD2YAKG

Squares and roots of 3993427709440000

• 3993427709440000 squared (3993427709440000²) is 15947464870523205065113600000000
• 3993427709440000 cubed (3993427709440000³) is 63685048109268348977544009701392384000000000000
• The square root of 3993427709440000 is 63193573.3238752689
• The cube root of 3993427709440000 is 158653.1170288773

Scales and comparisons

• 3,993,427,709,440,000 seconds is equal to 126,978,648 years, 35 weeks, 1 day, 12 hours, 26 minutes, 40 seconds.
• To count from 1 to 3,993,427,709,440,000 would take you about three hundred eighty million, nine hundred thirty-five thousand, nine hundred forty-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 3993427709440000 cubic inches would be around 13221.1 feet tall.

Recreational maths with 3993427709440000

• 3993427709440000 backwards is 0000449077243993
• The number of decimal digits it has is: 16
• The sum of 3993427709440000's digits is 61
• More coming soon!