12331813824512000
12,331,813,824,512,000 is an even composite number composed of six prime numbers multiplied together.
12331813824512000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of three thousand, three hundred sixty divisors.
Prime factorization of 12331813824512000:
214 × 53 × 76 × 13 × 31 × 127
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 5 × 7 × 7 × 7 × 7 × 7 × 7 × 13 × 31 × 127)See below for interesting mathematical facts about the number 12331813824512000 from the Numbermatics database.
Names of 12331813824512000
- Cardinal: 12331813824512000 can be written as Twelve quadrillion, three hundred thirty-one trillion, eight hundred thirteen billion, eight hundred twenty-four million, five hundred twelve thousand.
Scientific notation
- Scientific notation: 1.2331813824512 × 1016
Factors of 12331813824512000
Divisors of 12331813824512000
- Number of divisors d(n): 3360
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Complete list of divisors:
1 2 4 5 7 8 10 13 14 16 20 25 26 28 31 32 35 40 49 50 52 56 62 64 65 70 80 91 98 100 104 112 124 125 127 128 130 140 155 160 175 182 196 200 208 217 224 245 248 250 254 256 260 280 310 320 325 343 350 364 392 400 403 416 434 448 455 490 496 500 508 512 520 560 620 635 637 640 650 686 700 728 775 784 800 806 832 868 875 889 896 910 980 992 1000 1016 1024 1040 1085 1120 1225 1240 1270 1274 1280 1300 1372 1400 1456 1519 1550 1568 1600 1612 1625 1651 1664 1715 1736 1750 1778 1792 1820 1960 1984 2000 2015 2032 2048 2080 2170 2240 2275 2401 2450 2480 2540 2548 2560 2600 2744 2800 2821 2912 3038 3100 3136 3175 3185 3200 3224 3250 3302 3328 3430 3472 3500 3556 3584 3640 3875 3920 3937 3968 4000 4030 4064 4096 4160 4340 4445 4459 4480 4550 4802 4900 4960 5080 5096 5120 5200 5425 5488 5600 5642 5824 6076 6125 6200 6223 6272 6350 6370 6400 6448 6500 6604 6656 6860 6944 7000 7112 7168 7280 7595 7750 7840 7874 7936 8000 8060 8128 8192 8255 8320 8575 8680 8890 8918 8960 9100 9604 9800 9920 10075 10160 10192 10240 10400 10633 10850 10976 11200 11284 11375 11557 11648 12005 12152 12250 12400 12446 12544 12700 12740 12800 12896 13000 13208 13312 13720 13888 14000 14105 14224 14336 14560 15190 15500 15680 15748 15872 15875 15925 16000 16120 16256 16384 16510 16640 16807 17150 17360 17780 17836 17920 18200 19208 19600 19685 19747 19840 20150 20320 20384 20480 20800 21266 21700 21952 22225 22295 22400 22568 22750 23114 23296 24010 24304 24500 24800 24892 25088 25400 25480 25600 25792 26000 26416 26624 27125 27440 27559 27776 28000 28210 28448 28672 29120 30380 31000 31115 31213 31360 31496 31744 31750 31850 32000 32240 32512 33020 33280 33614 34300 34720 35560 35672 35840 36400 37975 38416 39200 39370 39494 39680 40300 40640 40768 40960 41275 41600 42532 42875 43400 43561 43904 44450 44590 44800 45136 45500 46228 46592 48020 48608 49000 49600 49784 50176 50375 50800 50960 51181 51200 51584 52000 52832 53165 53248 54250 54880 55118 55552 56000 56420 56896 57344 57785 58240 60025 60760 62000 62230 62426 62720 62992 63488 63500 63700 64000 64480 65024 66040 66560 67228 68600 69440 70525 71120 71344 71680 72800 74431 75950 76832 78400 78740 78988 79360 79625 80600 80899 81280 81536 81920 82550 83200 84035 85064 85750 86800 87122 87808 88900 89180 89600 90272 91000 92456 93184 96040 97216 98000 98425 98735 99200 99568 100352 100750 101600 101920 102362 102400 103168 104000 105664 106330 106496 108500 109760 110236 111104 111125 111475 112000 112840 113792 114688 115570 116480 117649 120050 121520 124000 124460 124852 125440 125984 126976 127000 127400 128000 128960 130048 132080 133120 134456 137200 137795 138229 138880 141050 142240 142688 143360 145600 148862 151900 153664 155575 156065 156800 157480 157976 158720 159250 161200 161798 162560 163072 165100 166400 168070 170128 171500 173600 174244 175616 177800 178360 179200 180544 182000 184912 186368 189875 192080 192913 194432 196000 196850 197470 198400 199136 200704 201500 203200 203840 204724 204800 206336 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1233181382451200 1541476728064000 1761687689216000 2466362764902400 3082953456128000 6165906912256000 12331813824512000
- Sum of all divisors σ(n): 40233124904534016
- Sum of proper divisors (its aliquot sum) s(n): 27901311080022016
- 12331813824512000 is an abundant number, because the sum of its proper divisors (27901311080022016) is greater than itself. Its abundance is 15569497255510016
Bases of 12331813824512000
- Binary: 1010111100111110111000001001100111001001000000000000002
- Hexadecimal: 0x2BCFB826724000
- Base-36: 3DF9H2947I8
Squares and roots of 12331813824512000
- 12331813824512000 squared (123318138245120002) is 152073632202425280332038144000000
- 12331813824512000 cubed (123318138245120003) is 1875343719937621338013345037804506185728000000000
-
The
square root of 12331813824512000 is 111048700.2378325903 -
The
cube root of 12331813824512000 is 231033.8701140921
Scales and comparisons
How big is 12331813824512000?- 12,331,813,824,512,000 seconds is equal to 392,113,534 years, 42 weeks, 2 days, 14 hours, 13 minutes, 20 seconds.
-
To count from 1 to 12,331,813,824,512,000 would take you about one billion, one hundred seventy-six million, three hundred forty thousand, six hundred four 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 12331813824512000 cubic inches would be around 19252.8 feet tall.
Recreational maths with 12331813824512000
- 12331813824512000 backwards is 00021542831813321
- The number of decimal digits it has is: 17
- The sum of 12331813824512000's digits is 44
- More coming soon!
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"Number 12331813824512000 - Facts about the integer". Numbermatics.com. 2024. Web. 5 June 2024.
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Numbermatics. (2024). Number 12331813824512000 - Facts about the integer. Retrieved 5 June 2024, from https://numbermatics.com/n/12331813824512000/
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The information we have on file for 12331813824512000 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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