468136996800000
468,136,996,800,000 is an even composite number composed of six prime numbers multiplied together.
What does the number 468136996800000 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 2160 divisors.
468136996800000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two thousand, one hundred sixty divisors.
Prime factorization of 468136996800000:
29 × 3 × 55 × 112 × 172 × 2789
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 5 × 5 × 5 × 11 × 11 × 17 × 17 × 2789)See below for interesting mathematical facts about the number 468136996800000 from the Numbermatics database.
Names of 468136996800000
- Cardinal: 468136996800000 can be written as Four hundred sixty-eight trillion, one hundred thirty-six billion, nine hundred ninety-six million, eight hundred thousand.
Scientific notation
- Scientific notation: 4.681369968 × 1014
Factors of 468136996800000
Divisors of 468136996800000
- Number of divisors d(n): 2160
-
Complete list of divisors:
1 2 3 4 5 6 8 10 11 12 15 16 17 20 22 24 25 30 32 33 34 40 44 48 50 51 55 60 64 66 68 75 80 85 88 96 100 102 110 120 121 125 128 132 136 150 160 165 170 176 187 192 200 204 220 240 242 250 255 256 264 272 275 289 300 320 330 340 352 363 374 375 384 400 408 425 440 480 484 500 510 512 528 544 550 561 578 600 605 625 640 660 680 704 726 748 750 768 800 816 825 850 867 880 935 960 968 1000 1020 1056 1088 1100 1122 1156 1200 1210 1250 1275 1280 1320 1360 1375 1408 1445 1452 1496 1500 1536 1600 1632 1650 1700 1734 1760 1815 1870 1875 1920 1936 2000 2040 2057 2112 2125 2176 2200 2244 2312 2400 2420 2500 2550 2560 2640 2720 2750 2789 2805 2816 2890 2904 2992 3000 3025 3125 3179 3200 3264 3300 3400 3468 3520 3630 3740 3750 3840 3872 4000 4080 4114 4125 4224 4250 4335 4352 4400 4488 4624 4675 4800 4840 5000 5100 5280 5440 5500 5578 5610 5632 5780 5808 5984 6000 6050 6171 6250 6358 6375 6400 6528 6600 6800 6875 6936 7040 7225 7260 7480 7500 7680 7744 8000 8160 8228 8250 8367 8448 8500 8670 8704 8800 8976 9075 9248 9350 9375 9537 9600 9680 10000 10200 10285 10560 10625 10880 11000 11156 11220 11560 11616 11968 12000 12100 12342 12500 12716 12750 12800 13056 13200 13600 13750 13872 13945 14025 14080 14450 14520 14960 15000 15125 15488 15895 16000 16320 16456 16500 16734 16896 17000 17340 17600 17952 18150 18496 18700 18750 19074 19200 19360 20000 20400 20570 20625 21120 21250 21675 21760 22000 22312 22440 23120 23232 23375 23936 24000 24200 24684 25000 25432 25500 26112 26400 27200 27500 27744 27890 28050 28160 28900 29040 29920 30000 30250 30679 30855 30976 31790 31875 32000 32640 32912 33000 33468 34000 34375 34680 34969 35200 35904 36125 36300 36992 37400 37500 38148 38400 38720 40000 40800 41140 41250 41835 42240 42500 43350 43520 44000 44624 44880 45375 46240 46464 46750 47413 47685 47872 48000 48400 49368 50000 50864 51000 51425 52800 53125 54400 55000 55488 55780 56100 57800 58080 59840 60000 60500 61358 61710 61952 63580 63750 64000 65280 65824 66000 66936 68000 68750 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42557908800000 46813699680000 58517124600000 78022832800000 93627399360000 117034249200000 156045665600000 234068498400000 468136996800000
- Sum of all divisors σ(n): 1820799324978480
- Sum of proper divisors (its aliquot sum) s(n): 1352662328178480
- 468136996800000 is an abundant number, because the sum of its proper divisors (1352662328178480) is greater than itself. Its abundance is 884525331378480
Bases of 468136996800000
- Binary: 11010100111000100101000110110011010000110000000002
- Hexadecimal: 0x1A9C4A3668600
- Base-36: 4LXV60YEIO
Squares and roots of 468136996800000
- 468136996800000 squared (4681369968000002) is 219152247772923210240000000000
- 468136996800000 cubed (4681369968000003) is 102593275114385759998768607232000000000000000
-
The
square root of 468136996800000 is 21636473.7607587065 -
The
cube root of 468136996800000 is 77646.9357710469
Scales and comparisons
How big is 468136996800000?- 468,136,996,800,000 seconds is equal to 14,885,308 years, 23 weeks, 4 days, 18 hours, 40 minutes.
-
To count from 1 to 468,136,996,800,000 would take you about thirty-seven million, two hundred thirteen thousand, two hundred seventy-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 468136996800000 cubic inches would be around 6470.6 feet tall.
Recreational maths with 468136996800000
- 468136996800000 backwards is 000008699631864
- 468136996800000 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 468136996800000's digits is 60
- More coming soon!
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The information we have on file for 468136996800000 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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