137961753216000000
137,961,753,216,000,000 is an even composite number composed of seven prime numbers multiplied together.
137961753216000000 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of four thousand, seven hundred four divisors.
Prime factorization of 137961753216000000:
213 × 3 × 56 × 72 × 17 × 31 × 13913
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 5 × 5 × 5 × 5 × 7 × 7 × 17 × 31 × 13913)See below for interesting mathematical facts about the number 137961753216000000 from the Numbermatics database.
Names of 137961753216000000
- Cardinal: 137961753216000000 can be written as One hundred thirty-seven quadrillion, nine hundred sixty-one trillion, seven hundred fifty-three billion, two hundred sixteen million.
Scientific notation
- Scientific notation: 1.37961753216 × 1017
Factors of 137961753216000000
Divisors of 137961753216000000
- Number of divisors d(n): 4704
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Complete list of divisors:
1 2 3 4 5 6 7 8 10 12 14 15 16 17 20 21 24 25 28 30 31 32 34 35 40 42 48 49 50 51 56 60 62 64 68 70 75 80 84 85 93 96 98 100 102 105 112 119 120 124 125 128 136 140 147 150 155 160 168 170 175 186 192 196 200 204 210 217 224 238 240 245 248 250 255 256 272 280 294 300 310 320 336 340 350 357 372 375 384 392 400 408 420 425 434 448 465 476 480 490 496 500 510 512 525 527 544 560 588 595 600 620 625 640 651 672 680 700 714 735 744 750 768 775 784 800 816 833 840 850 868 875 896 930 952 960 980 992 1000 1020 1024 1050 1054 1085 1088 1120 1176 1190 1200 1225 1240 1250 1275 1280 1302 1344 1360 1400 1428 1470 1488 1500 1519 1536 1550 1568 1581 1600 1632 1666 1680 1700 1736 1750 1785 1792 1860 1875 1904 1920 1960 1984 2000 2040 2048 2100 2108 2125 2170 2176 2240 2325 2352 2380 2400 2450 2480 2499 2500 2550 2560 2604 2625 2635 2688 2720 2800 2856 2940 2975 2976 3000 3038 3072 3100 3125 3136 3162 3200 3255 3264 3332 3360 3400 3472 3500 3570 3584 3675 3689 3720 3750 3808 3840 3875 3920 3968 4000 4080 4096 4165 4200 4216 4250 4340 4352 4375 4480 4557 4650 4704 4760 4800 4900 4960 4998 5000 5100 5120 5208 5250 5270 5376 5425 5440 5600 5712 5880 5950 5952 6000 6076 6125 6144 6200 6250 6272 6324 6375 6400 6510 6528 6664 6720 6800 6944 7000 7140 7168 7350 7378 7440 7500 7595 7616 7680 7750 7840 7905 7936 8000 8160 8192 8330 8400 8432 8500 8680 8704 8750 8925 8960 9114 9300 9375 9408 9520 9600 9800 9920 9996 10000 10200 10240 10416 10500 10540 10625 10752 10850 10880 11067 11200 11424 11625 11760 11900 11904 12000 12152 12250 12288 12400 12495 12500 12544 12648 12750 12800 13020 13056 13125 13175 13328 13440 13600 13888 13913 14000 14280 14336 14700 14756 14875 14880 15000 15190 15232 15360 15500 15625 15680 15810 15872 16000 16275 16320 16660 16800 16864 17000 17360 17408 17500 17850 17920 18228 18375 18445 18600 18750 18816 19040 19200 19375 19600 19840 19992 20000 20400 20480 20825 20832 21000 21080 21250 21504 21700 21760 21875 22134 22400 22785 22848 23250 23520 23800 23808 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2815545984000000 2874203192000000 3284803648000000 3449043830400000 3941764377600000 4057698624000000 4311304788000000 4450379136000000 4598725107200000 4927205472000000 5518470128640000 5748406384000000 6569607296000000 6898087660800000 8115397248000000 8622609576000000 9197450214400000 9854410944000000 11496812768000000 13796175321600000 17245219152000000 19708821888000000 22993625536000000 27592350643200000 34490438304000000 45987251072000000 68980876608000000 137961753216000000
- Sum of all divisors σ(n): 584692119875068416
- Sum of proper divisors (its aliquot sum) s(n): 446730366659068416
- 137961753216000000 is an abundant number, because the sum of its proper divisors (446730366659068416) is greater than itself. Its abundance is 308768613443068416
Bases of 137961753216000000
- Binary: 1111010100010001101111011110011010000011110100000000000002
- Hexadecimal: 0x1EA237BCD07A000
- Base-36: 11QFCYH1WA2O
Squares and roots of 137961753216000000
- 137961753216000000 squared (1379617532160000002) is 19033445350432486342656000000000000
- 137961753216000000 cubed (1379617532160000003) is 2625887490286589319674797485981696000000000000000000
-
The
square root of 137961753216000000 is 371432030.4120257209 -
The
cube root of 137961753216000000 is 516717.1802540463
Scales and comparisons
How big is 137961753216000000?- 137,961,753,216,000,000 seconds is equal to 4,386,757,008 years, 28 weeks, 3 days, 2 hours, 40 minutes.
-
To count from 1 to 137,961,753,216,000,000 would take you about thirteen billion, one hundred sixty million, two hundred seventy-one thousand and twenty-five 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 137961753216000000 cubic inches would be around 43059.8 feet tall.
Recreational maths with 137961753216000000
- 137961753216000000 backwards is 000000612357169731
- 137961753216000000 is a
Harshad number . - The number of decimal digits it has is: 18
- The sum of 137961753216000000's digits is 51
- More coming soon!
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The information we have on file for 137961753216000000 includes mathematical data and numerical statistics calculated using standard algorithms and methods. We are adding more all the time. If there are any features you would like to see, please contact us. Information provided for educational use, intellectual curiosity and fun!
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