13829742540224000
13,829,742,540,224,000 is an even composite number composed of seven prime numbers multiplied together.
What does the number 13829742540224000 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 4320 divisors.
13829742540224000 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of four thousand, three hundred twenty divisors.
Prime factorization of 13829742540224000:
29 × 53 × 132 × 172 × 31 × 41 × 592
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 5 × 13 × 13 × 17 × 17 × 31 × 41 × 59 × 59)See below for interesting mathematical facts about the number 13829742540224000 from the Numbermatics database.
Names of 13829742540224000
- Cardinal: 13829742540224000 can be written as Thirteen quadrillion, eight hundred twenty-nine trillion, seven hundred forty-two billion, five hundred forty million, two hundred twenty-four thousand.
Scientific notation
- Scientific notation: 1.3829742540224 × 1016
Factors of 13829742540224000
Divisors of 13829742540224000
- Number of divisors d(n): 4320
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Complete list of divisors:
1 2 4 5 8 10 13 16 17 20 25 26 31 32 34 40 41 50 52 59 62 64 65 68 80 82 85 100 104 118 124 125 128 130 136 155 160 164 169 170 200 205 208 221 236 248 250 256 260 272 289 295 310 320 325 328 338 340 400 403 410 416 425 442 472 496 500 512 520 527 533 544 578 590 620 640 650 656 676 680 697 767 775 800 806 820 832 845 850 884 944 992 1000 1003 1025 1040 1054 1066 1088 1105 1156 1180 1240 1271 1280 1300 1312 1352 1360 1394 1445 1475 1534 1550 1600 1612 1625 1640 1664 1690 1700 1768 1829 1888 1984 2000 2006 2015 2050 2080 2108 2125 2132 2176 2210 2312 2360 2419 2480 2542 2560 2600 2624 2635 2665 2704 2720 2788 2873 2890 2950 3068 3100 3200 3224 3250 3280 3328 3380 3400 3481 3485 3536 3658 3757 3776 3835 3875 3968 4000 4012 4030 4100 4160 4216 4225 4250 4264 4352 4420 4624 4720 4838 4960 5015 5084 5125 5200 5239 5248 5270 5330 5408 5440 5525 5576 5746 5780 5900 6136 6200 6355 6400 6448 6500 6560 6656 6760 6800 6851 6929 6962 6970 7072 7225 7316 7375 7514 7552 7670 7750 7936 8000 8024 8060 8200 8320 8432 8450 8500 8528 8704 8840 8959 9061 9145 9248 9440 9676 9920 9971 10030 10075 10168 10250 10400 10478 10496 10540 10660 10816 10880 11050 11152 11492 11560 11800 11849 12095 12272 12400 12710 12800 12896 13000 13039 13120 13175 13325 13520 13600 13702 13858 13924 13940 14144 14365 14450 14632 14750 15028 15104 15340 15500 15872 16000 16048 16120 16400 16523 16640 16864 16900 17000 17051 17056 17405 17425 17680 17918 18122 18290 18496 18785 18880 19175 19352 19840 19942 20060 20150 20336 20500 20800 20956 20992 21080 21125 21320 21607 21632 21760 22100 22304 22984 23120 23600 23698 23777 24190 24544 24800 25075 25420 25792 26000 26078 26195 26240 26350 26650 27040 27200 27404 27625 27716 27848 27880 28288 28730 28900 29264 29500 30056 30208 30680 31000 31093 31447 31775 32000 32096 32240 32800 33046 33280 33728 33800 34000 34102 34112 34255 34645 34810 34850 35360 35836 36125 36244 36580 36992 37570 37760 38350 38704 39680 39884 40120 40300 40672 41000 41123 41600 41912 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4067571335360 4091639804800 4155571676750 4216384920800 4255305396992 4289622376000 4321794543820 4461207271040 4507738768000 4688048318720 4785378041600 4813693888000 4960452848000 5084464169200 5114549756000 5189396825600 5248479142400 5270481151000 5319131746240 5402243179775 5440496672000 5576509088800 5717132096000 5860060398400 5981722552000 6257802054400 6355580211500 6486746032000 6508114136576 6560598928000 6648914682800 6746215873280 6863395801600 6894188704000 6914871270112 6970636361000 7325075498000 7561368256000 7822252568000 8135142670720 8183279609600 8311143353500 8432769841600 8510610793984 8579244752000 8643589087640 8922414542080 9015477536000 9376096637440 9570756083200 9920905696000 10168928338400 10229099512000 10540962302000 10638263492480 10804486359550 10880993344000 11153018177600 11720120796800 11963445104000 12515604108800 12711160423000 12973492064000 13121197856000 13297829365600 13492431746560 13788377408000 13829742540224 13941272722000 14650150996000 15644505136000 16270285341440 16366559219200 16622286707000 16865539683200 17158489504000 17287178175280 17844829084160 18030955072000 19841811392000 20337856676800 20458199024000 21081924604000 21276526984960 21608972719100 22306036355200 23440241593600 23926890208000 25422320846000 25946984128000 26242395712000 26595658731200 27011215898875 27659485080448 27882545444000 29300301992000 31289010272000 32540570682880 33244573414000 33731079366400 34316979008000 34574356350560 40675713353600 40916398048000 42163849208000 42553053969920 43217945438200 44612072710400 46880483187200 47853780416000 50844641692000 53191317462400 54022431797750 55318970160896 55765090888000 58600603984000 62578020544000 66489146828000 67462158732800 69148712701120 81351426707200 81832796096000 84327698416000 86435890876400 89224145420800 101689283384000 106382634924800 108044863595500 110637940321792 111530181776000 117201207968000 132978293656000 138297425402240 162702853414400 168655396832000 172871781752800 203378566768000 212765269849600 216089727191000 223060363552000 234402415936000 265956587312000 276594850804480 337310793664000 345743563505600 406757133536000 432179454382000 446120727104000 531913174624000 553189701608960 691487127011200 813514267072000 864358908764000 1063826349248000 1382974254022400 1728717817528000 2765948508044800 3457435635056000 6914871270112000 13829742540224000
- Sum of all divisors σ(n): 42669238548448512
- Sum of proper divisors (its aliquot sum) s(n): 28839496008224512
- 13829742540224000 is an abundant number, because the sum of its proper divisors (28839496008224512) is greater than itself. Its abundance is 15009753468000512
Bases of 13829742540224000
- Binary: 1100010010001000010011110110110111000111110110000000002
- Hexadecimal: 0x312213DB71F600
- Base-36: 3S68G0J2TQ8
Squares and roots of 13829742540224000
- 13829742540224000 squared (138297425402240002) is 191261778728881376257970176000000
- 13829742540224000 cubed (138297425402240003) is 2645101157605720534283865585360272359424000000000
-
The
square root of 13829742540224000 is 117599925.7662350737 -
The
cube root of 13829742540224000 is 240033.2276924193
Scales and comparisons
How big is 13829742540224000?- 13,829,742,540,224,000 seconds is equal to 439,743,034 years, 29 weeks, 6 days, 22 hours, 13 minutes, 20 seconds.
-
To count from 1 to 13,829,742,540,224,000 would take you about one billion, three hundred nineteen million, two hundred twenty-nine thousand, one hundred three 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 13829742540224000 cubic inches would be around 20002.8 feet tall.
Recreational maths with 13829742540224000
- 13829742540224000 backwards is 00042204524792831
- The number of decimal digits it has is: 17
- The sum of 13829742540224000's digits is 53
- More coming soon!
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"Number 13829742540224000 - Facts about the integer". Numbermatics.com. 2024. Web. 16 June 2024.
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Numbermatics. (2024). Number 13829742540224000 - Facts about the integer. Retrieved 16 June 2024, from https://numbermatics.com/n/13829742540224000/
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The information we have on file for 13829742540224000 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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