137304040538112000
137,304,040,538,112,000 is an even composite number composed of five prime numbers multiplied together.
What does the number 137304040538112000 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 3072 divisors.
137304040538112000 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of three thousand and seventy-two divisors.
Prime factorization of 137304040538112000:
223 × 3 × 53 × 77 × 53
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 5 × 7 × 7 × 7 × 7 × 7 × 7 × 7 × 53)See below for interesting mathematical facts about the number 137304040538112000 from the Numbermatics database.
Names of 137304040538112000
- Cardinal: 137304040538112000 can be written as One hundred thirty-seven quadrillion, three hundred four trillion, forty billion, five hundred thirty-eight million, one hundred twelve thousand.
Scientific notation
- Scientific notation: 1.37304040538112 × 1017
Factors of 137304040538112000
Divisors of 137304040538112000
- Number of divisors d(n): 3072
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Complete list of divisors:
1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 25 28 30 32 35 40 42 48 49 50 53 56 60 64 70 75 80 84 96 98 100 105 106 112 120 125 128 140 147 150 159 160 168 175 192 196 200 210 212 224 240 245 250 256 265 280 294 300 318 320 336 343 350 371 375 384 392 400 420 424 448 480 490 500 512 525 530 560 588 600 636 640 672 686 700 735 742 750 768 784 795 800 840 848 875 896 960 980 1000 1024 1029 1050 1060 1113 1120 1176 1200 1225 1272 1280 1325 1344 1372 1400 1470 1484 1500 1536 1568 1590 1600 1680 1696 1715 1750 1792 1855 1920 1960 2000 2048 2058 2100 2120 2226 2240 2352 2400 2401 2450 2544 2560 2597 2625 2650 2688 2744 2800 2940 2968 3000 3072 3136 3180 3200 3360 3392 3430 3500 3584 3675 3710 3840 3920 3975 4000 4096 4116 4200 4240 4452 4480 4704 4800 4802 4900 5088 5120 5145 5194 5250 5300 5376 5488 5565 5600 5880 5936 6000 6125 6144 6272 6360 6400 6625 6720 6784 6860 7000 7168 7203 7350 7420 7680 7791 7840 7950 8000 8192 8232 8400 8480 8575 8904 8960 9275 9408 9600 9604 9800 10176 10240 10290 10388 10500 10600 10752 10976 11130 11200 11760 11872 12000 12005 12250 12288 12544 12720 12800 12985 13250 13440 13568 13720 14000 14336 14406 14700 14840 15360 15582 15680 15900 16000 16384 16464 16800 16807 16960 17150 17808 17920 18179 18375 18550 18816 19200 19208 19600 19875 20352 20480 20580 20776 21000 21200 21504 21952 22260 22400 23520 23744 24000 24010 24500 24576 25088 25440 25600 25725 25970 26500 26880 27136 27440 27825 28000 28672 28812 29400 29680 30720 31164 31360 31800 32000 32768 32928 33600 33614 33920 34300 35616 35840 36015 36358 36750 37100 37632 38400 38416 38955 39200 39750 40704 40960 41160 41552 42000 42400 42875 43008 43904 44520 44800 46375 47040 47488 48000 48020 49000 49152 50176 50421 50880 51200 51450 51940 53000 53760 54272 54537 54880 55650 56000 57344 57624 58800 59360 60025 61440 62328 62720 63600 64000 64925 65536 65856 67200 67228 67840 68600 71232 71680 72030 72716 73500 74200 75264 76800 76832 77910 78400 79500 81408 81920 82320 83104 84000 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536343908352000 549216162152448 560424655257600 572100168908800 612964466688000 647660568576000 653828764467200 686520202690560 700530819072000 715125211136000 784594517360640 817285955584000 858150253363200 863547424768000 915360270254080 934041092096000 980743146700800 1072687816704000 1098432324304896 1144200337817600 1225928933376000 1295321137152000 1307657528934400 1373040405381120 1401061638144000 1430250422272000 1634571911168000 1716300506726400 1830720540508160 1961486293401600 2145375633408000 2288400675635200 2451857866752000 2590642274304000 2746080810762240 2802123276288000 2860500844544000 3269143822336000 3432601013452800 3922972586803200 4290751266816000 4576801351270400 4903715733504000 5492161621524480 5721001689088000 6538287644672000 6865202026905600 8581502533632000 9153602702540800 9807431467008000 11442003378176000 13730404053811200 17163005067264000 19614862934016000 22884006756352000 27460808107622400 34326010134528000 45768013512704000 68652020269056000 137304040538112000
- Sum of all divisors σ(n): 543164295203712000
- Sum of proper divisors (its aliquot sum) s(n): 405860254665600000
- 137304040538112000 is an abundant number, because the sum of its proper divisors (405860254665600000) is greater than itself. Its abundance is 268556214127488000
Bases of 137304040538112000
- Binary: 1111001111100110101001100001000101000000000000000000000002
- Hexadecimal: 0x1E7CD4C22800000
- Base-36: 11JY7XFV4BUO
Squares and roots of 137304040538112000
- 137304040538112000 squared (1373040405381120002) is 18852399548091503434524524544000000
- 137304040538112000 cubed (1373040405381120003) is 2588510631791840136856707795129218711420928000000000
-
The
square root of 137304040538112000 is 370545598.4600437809 -
The
cube root of 137304040538112000 is 515894.7471484613
Scales and comparisons
How big is 137304040538112000?- 137,304,040,538,112,000 seconds is equal to 4,365,843,779 years, 43 weeks, 18 hours, 40 minutes.
-
To count from 1 to 137,304,040,538,112,000 would take you about thirteen billion, ninety-seven million, five hundred thirty-one thousand, three hundred thirty-nine 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 137304040538112000 cubic inches would be around 42991.2 feet tall.
Recreational maths with 137304040538112000
- 137304040538112000 backwards is 000211835040403731
- 137304040538112000 is a
Harshad number . - The number of decimal digits it has is: 18
- The sum of 137304040538112000's digits is 42
- More coming soon!
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Cite this page
MLA style:
"Number 137304040538112000 - Facts about the integer". Numbermatics.com. 2024. Web. 17 June 2024.
APA style:
Numbermatics. (2024). Number 137304040538112000 - Facts about the integer. Retrieved 17 June 2024, from https://numbermatics.com/n/137304040538112000/
Chicago style:
Numbermatics. 2024. "Number 137304040538112000 - Facts about the integer". https://numbermatics.com/n/137304040538112000/
The information we have on file for 137304040538112000 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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