13013812741248000
13,013,812,741,248,000 is an even composite number composed of eight prime numbers multiplied together.
What does the number 13013812741248000 look like?
This visualization shows the relationship between its 8 prime factors (large circles) and 4224 divisors.
13013812741248000 is an even composite number. It is composed of eight distinct prime numbers multiplied together. It has a total of four thousand, two hundred twenty-four divisors.
Prime factorization of 13013812741248000:
210 × 32 × 53 × 11 × 17 × 31 × 43 × 45319
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 5 × 11 × 17 × 31 × 43 × 45319)See below for interesting mathematical facts about the number 13013812741248000 from the Numbermatics database.
Names of 13013812741248000
- Cardinal: 13013812741248000 can be written as Thirteen quadrillion, thirteen trillion, eight hundred twelve billion, seven hundred forty-one million, two hundred forty-eight thousand.
Scientific notation
- Scientific notation: 1.3013812741248 × 1016
Factors of 13013812741248000
Divisors of 13013812741248000
- Number of divisors d(n): 4224
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Complete list of divisors:
1 2 3 4 5 6 8 9 10 11 12 15 16 17 18 20 22 24 25 30 31 32 33 34 36 40 43 44 45 48 50 51 55 60 62 64 66 68 72 75 80 85 86 88 90 93 96 99 100 102 110 120 124 125 128 129 132 136 144 150 153 155 160 165 170 172 176 180 186 187 192 198 200 204 215 220 225 240 248 250 255 256 258 264 272 275 279 288 300 306 310 320 330 340 341 344 352 360 372 374 375 384 387 396 400 408 425 430 440 450 465 473 480 495 496 500 510 512 516 527 528 544 550 558 561 576 600 612 620 640 645 660 680 682 688 704 720 731 744 748 750 765 768 774 775 792 800 816 825 850 860 880 900 930 935 946 960 990 992 1000 1020 1023 1024 1032 1054 1056 1075 1088 1100 1116 1122 1125 1152 1200 1224 1240 1275 1280 1290 1320 1333 1360 1364 1375 1376 1395 1408 1419 1440 1462 1488 1496 1500 1530 1536 1548 1550 1581 1584 1600 1632 1650 1683 1700 1705 1720 1760 1800 1860 1870 1892 1920 1935 1980 1984 2000 2040 2046 2064 2108 2112 2125 2150 2176 2193 2200 2232 2244 2250 2304 2325 2365 2400 2448 2475 2480 2550 2560 2580 2635 2640 2666 2720 2728 2750 2752 2790 2805 2816 2838 2880 2924 2976 2992 3000 3060 3069 3072 3096 3100 3162 3168 3200 3225 3264 3300 3366 3400 3410 3440 3520 3600 3655 3720 3740 3784 3825 3840 3870 3875 3960 3968 3999 4000 4080 4092 4125 4128 4216 4224 4250 4257 4300 4352 4386 4400 4464 4488 4500 4608 4650 4675 4730 4743 4800 4896 4950 4960 5100 5115 5120 5160 5270 5280 5332 5375 5440 5456 5500 5504 5580 5610 5632 5676 5760 5797 5848 5952 5984 6000 6120 6138 6192 6200 6324 6336 6375 6400 6450 6528 6579 6600 6665 6732 6800 6820 6880 6975 7040 7095 7200 7310 7440 7480 7568 7650 7680 7740 7750 7905 7920 7936 7998 8000 8041 8160 8184 8250 8256 8415 8432 8448 8500 8514 8525 8600 8704 8772 8800 8928 8976 9000 9216 9300 9350 9460 9486 9600 9675 9792 9900 9920 10200 10230 10320 10540 10560 10664 10750 10880 10912 10965 11000 11008 11160 11220 11264 11352 11520 11594 11625 11696 11825 11904 11968 11997 12000 12240 12276 12375 12384 12400 12648 12672 12750 12800 12900 13056 13158 13175 13200 13330 13464 13600 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13145265395200 13556054938800 13756673088000 13918516300800 13993347033600 14459791934720 14788423569600 15132340396800 15310367930880 15774318474240 15948299928000 16267265926560 16431581744000 16792016440320 16813711552000 16945068673500 17011519923200 17351750321664 17398145376000 17491683792000 17802753408000 18074739918400 18485529462000 18915425496000 19081836864000 19137959913600 19717898092800 20176453862400 20334082408200 20990020550400 21264399904000 21689687902080 22593424898000 23197527168000 23322245056000 23661477711360 23922449892000 24647372616000 24694141824000 25220567328000 25417603010250 25517279884800 26027625482496 26237525688000 26290530790400 27112109877600 27513346176000 27986694067200 28919583869440 29576847139200 30264680793600 30620735861760 31896599856000 32534531853120 32863163488000 33627423104000 33890137347000 34703500643328 34796290752000 34983367584000 36149479836800 36971058924000 37830850992000 38163673728000 38275919827200 39435796185600 40668164816400 41980041100800 42528799808000 43379375804160 45186849796000 46644490112000 47322955422720 47844899784000 49294745232000 50441134656000 50835206020500 51034559769600 52055250964992 52475051376000 54224219755200 57839167738880 59153694278400 60529361587200 63793199712000 65069063706240 65726326976000 67780274694000 69592581504000 69966735168000 72298959673600 73942117848000 75661701984000 76551839654400 78871592371200 81336329632800 83960082201600 85057599616000 86758751608320 90373699592000 95689799568000 98589490464000 100882269312000 101670412041000 104110501929984 104950102752000 108448439510400 118307388556800 127586399424000 130138127412480 131452653952000 135560549388000 139933470336000 144597919347200 147884235696000 151323403968000 153103679308800 162672659265600 173517503216640 180747399184000 191379599136000 197178980928000 203340824082000 209900205504000 216896879020800 236614777113600 255172798848000 260276254824960 271121098776000 289195838694400 295768471392000 302646807936000 325345318531200 361494798368000 382759198272000 394357961856000 406681648164000 419800411008000 433793758041600 520552509649920 542242197552000 591536942784000 650690637062400 722989596736000 765518396544000 813363296328000 867587516083200 1084484395104000 1183073885568000 1301381274124800 1445979193472000 1626726592656000 2168968790208000 2602762548249600 3253453185312000 4337937580416000 6506906370624000 13013812741248000
- Sum of all divisors σ(n): 57217924518543360
- Sum of proper divisors (its aliquot sum) s(n): 44204111777295360
- 13013812741248000 is an abundant number, because the sum of its proper divisors (44204111777295360) is greater than itself. Its abundance is 31190299036047360
Bases of 13013812741248000
- Binary: 1011100011101111111110011001011001110110010100000000002
- Hexadecimal: 0x2E3BFE659D9400
- Base-36: 3K50F1FG8W0
Squares and roots of 13013812741248000
- 13013812741248000 squared (130138127412480002) is 169359322064268784200597504000000
- 13013812741248000 cubed (130138127412480003) is 2204010503329104636550253955849746644992000000000
-
The
square root of 13013812741248000 is 114078099.3059053381 -
The
cube root of 13013812741248000 is 235216.7171860619
Scales and comparisons
How big is 13013812741248000?- 13,013,812,741,248,000 seconds is equal to 413,798,990 years, 41 weeks, 6 days, 8 hours.
-
To count from 1 to 13,013,812,741,248,000 would take you about one billion, two hundred forty-one million, three hundred ninety-six thousand, nine hundred seventy-two 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 13013812741248000 cubic inches would be around 19601.4 feet tall.
Recreational maths with 13013812741248000
- 13013812741248000 backwards is 00084214721831031
- 13013812741248000 is a
Harshad number . - The number of decimal digits it has is: 17
- The sum of 13013812741248000's digits is 45
- More coming soon!
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"Number 13013812741248000 - Facts about the integer". Numbermatics.com. 2024. Web. 31 May 2024.
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Numbermatics. (2024). Number 13013812741248000 - Facts about the integer. Retrieved 31 May 2024, from https://numbermatics.com/n/13013812741248000/
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The information we have on file for 13013812741248000 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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