13745824727040000

Names of 13745824727040000

• Cardinal: 13745824727040000 can be written as Thirteen quadrillion, seven hundred forty-five trillion, eight hundred twenty-four billion, seven hundred twenty-seven million, forty thousand.

Scientific notation

• Scientific notation: 1.374582472704 × 10¹⁶

Factors of 13745824727040000

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 38
• Sum of prime factors: 34

Divisors of 13745824727040000

• Number of divisors d(n): 4200
• Complete list of divisors:
  1 2 3 4 5 6 7 8 9 10 12 14 15 16 17 18 20 21 24 25 27 28 30 32 34 35 36 40 42 45 48 50 51 54 56 60 63 64 68 70 72 75 80 81 84 85 90 96 100 102 105 108 112 119 120 125 126 128 135 136 140 144 150 153 160 162 168 170 175 180 189 192 200 204 210 216 224 225 238 240 250 252 255 256 270 272 280 288 289 300 306 315 320 324 336 340 350 357 360 375 378 384 400 405 408 420 425 432 448 450 459 476 480 500 504 510 512 525 540 544 560 567 576 578 595 600 612 625 630 640 648 672 675 680 700 714 720 750 756 765 768 800 810 816 840 850 864 867 875 896 900 918 945 952 960 1000 1008 1020 1024 1050 1071 1080 1088 1120 1125 1134 1152 1156 1190 1200 1224 1250 1260 1275 1280 1296 1344 1350 1360 1377 1400 1428 1440 1445 1500 1512 1530 1536 1575 1600 1620 1632 1680 1700 1728 1734 1750 1785 1792 1800 1836 1875 1890 1904 1920 2000 2016 2023 2025 2040 2048 2100 2125 2142 2160 2176 2240 2250 2268 2295 2304 2312 2380 2400 2448 2500 2520 2550 2560 2592 2601 2625 2688 2700 2720 2754 2800 2835 2856 2880 2890 2975 3000 3024 3060 3072 3150 3200 3213 3240 3264 3360 3375 3400 3456 3468 3500 3570 3584 3600 3672 3750 3780 3808 3825 3840 4000 4032 4046 4050 4080 4096 4200 4250 4284 4320 4335 4352 4375 4480 4500 4536 4590 4608 4624 4725 4760 4800 4896 5000 5040 5100 5120 5184 5202 5250 5355 5376 5400 5440 5508 5600 5625 5670 5712 5760 5780 5950 6000 6048 6069 6120 6144 6300 6375 6400 6426 6480 6528 6720 6750 6800 6885 6912 6936 7000 7140 7168 7200 7225 7344 7500 7560 7616 7650 7680 7803 7875 8000 8064 8092 8100 8160 8192 8400 8500 8568 8640 8670 8704 8750 8925 8960 9000 9072 9180 9216 9248 9450 9520 9600 9639 9792 10000 10080 10115 10125 10200 10240 10368 10404 10500 10625 10710 10752 10800 10880 11016 11200 11250 11340 11424 11475 11520 11560 11900 12000 12096 12138 12240 12288 12600 12750 12800 12852 12960 13005 13056 13125 13440 13500 13600 13770 13824 13872 14000 14175 14280 14336 14400 14450 14688 14875 15000 15120 15232 15300 15360 15606 15750 16000 16065 16128 16184 16200 16320 16384 16800 16875 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763656929280000 808577925120000 859114045440000 916388315136000 981844623360000 1145485393920000 1374582472704000 1527313858560000 1718228090880000 1963689246720000 2290970787840000 2749164945408000 3436456181760000 4581941575680000 6872912363520000 13745824727040000
• Sum of all divisors σ(n): 62302380899337480
• Sum of proper divisors (its aliquot sum) s(n): 48556556172297480
• 13745824727040000 is an abundant number, because the sum of its proper divisors (48556556172297480) is greater than itself. Its abundance is 34810731445257480

Bases of 13745824727040000

• Binary: 110000110101011100000100111000000000000000000000000000₂
• Hexadecimal: 0x30D5C138000000
• Base-36: 3RCHKPBSW00

Squares and roots of 13745824727040000

• 13745824727040000 squared (13745824727040000²) is 188947697426504290507161600000000
• 13745824727040000 cubed (13745824727040000³) is 2597241931402514849521993463485169664000000000000
• The square root of 13745824727040000 is 117242589.2201293889
• The cube root of 13745824727040000 is 239546.7413246047

Scales and comparisons

• 13,745,824,727,040,000 seconds is equal to 437,074,707 years, 36 weeks.
• To count from 1 to 13,745,824,727,040,000 would take you about one billion, three hundred eleven million, two hundred twenty-four thousand, one hundred twenty-three 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 13745824727040000 cubic inches would be around 19962.2 feet tall.

Recreational maths with 13745824727040000

• 13745824727040000 backwards is 00004072742854731
• 13745824727040000 is a Harshad number.
• The number of decimal digits it has is: 17
• The sum of 13745824727040000's digits is 54
• More coming soon!