13642437766400
13,642,437,766,400 is an even composite number composed of six prime numbers multiplied together.
13642437766400 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of four hundred thirty-two divisors.
Prime factorization of 13642437766400:
28 × 52 × 17 × 89 × 1093 × 1289
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 17 × 89 × 1093 × 1289)See below for interesting mathematical facts about the number 13642437766400 from the Numbermatics database.
Names of 13642437766400
- Cardinal: 13642437766400 can be written as Thirteen trillion, six hundred forty-two billion, four hundred thirty-seven million, seven hundred sixty-six thousand, four hundred.
Scientific notation
- Scientific notation: 1.36424377664 × 1013
Factors of 13642437766400
Divisors of 13642437766400
- Number of divisors d(n): 432
-
Complete list of divisors:
1 2 4 5 8 10 16 17 20 25 32 34 40 50 64 68 80 85 89 100 128 136 160 170 178 200 256 272 320 340 356 400 425 445 544 640 680 712 800 850 890 1088 1093 1280 1289 1360 1424 1513 1600 1700 1780 2176 2186 2225 2578 2720 2848 3026 3200 3400 3560 4352 4372 4450 5156 5440 5465 5696 6052 6400 6445 6800 7120 7565 8744 8900 10312 10880 10930 11392 12104 12890 13600 14240 15130 17488 17800 18581 20624 21760 21860 21913 22784 24208 25780 27200 27325 28480 30260 32225 34976 35600 37162 37825 41248 43720 43826 48416 51560 54400 54650 56960 60520 64450 69952 71200 74324 75650 82496 87440 87652 92905 96832 97277 103120 108800 109300 109565 113920 114721 121040 128900 139904 142400 148648 151300 164992 174880 175304 185810 193664 194554 206240 218600 219130 229442 242080 257800 279808 284800 297296 302600 329984 349760 350608 371620 387328 389108 412480 437200 438260 458884 464525 484160 486385 515600 547825 569600 573605 594592 605200 699520 701216 743240 778216 824960 874400 876520 917768 929050 968320 972770 1031200 1095650 1147210 1189184 1210400 1399040 1402432 1408877 1486480 1556432 1649920 1653709 1748800 1753040 1835536 1858100 1936640 1945540 1950257 2062400 2191300 2294420 2378368 2420800 2431925 2804864 2817754 2868025 2972960 3112864 3307418 3497600 3506080 3671072 3716200 3891080 3900514 4124800 4382600 4588840 4756736 4841600 4863850 5609728 5635508 5736050 5945920 6225728 6614836 6995200 7012160 7044385 7342144 7432400 7782160 7801028 8249600 8268545 8765200 9177680 9683200 9727700 9751285 11271016 11472100 11891840 12451456 13229672 14024320 14088770 14684288 14864800 15564320 15602056 16537090 17530400 18355360 19455400 19502570 22542032 22944200 23783680 23950909 24902912 26459344 28048640 28177540 29368576 29729600 31128640 31204112 33074180 35060800 35221925 36710720 38910800 39005140 41342725 45084064 45888400 47901818 48756425 52918688 56355080 59459200 62257280 62408224 66148360 70121600 70443850 73421440 77821600 78010280 82685450 90168128 91776800 95803636 97512850 105837376 112710160 118918400 119754545 124514560 124816448 125390053 132296720 140243200 140887700 146842880 155643200 156020560 165370900 180336256 183553600 191607272 195025700 211674752 225420320 239509090 249632896 250780106 264593440 281775400 311286400 312041120 330741800 360672512 367107200 383214544 390051400 423349504 450840640 479018180 499265792 501560212 529186880 563550800 598772725 622572800 624082240 626950265 661483600 734214400 766429088 780102800 901681280 958036360 1003120424 1058373760 1127101600 1197545450 1248164480 1253900530 1322967200 1532858176 1560205600 1803362560 1916072720 2006240848 2116747520 2131630901 2254203200 2395090900 2496328960 2507801060 2645934400 3065716352 3120411200 3134751325 3832145440 4012481696 4263261802 4508406400 4790181800 5015602120 5291868800 6131432704 6240822400 6269502650 7664290880 8024963392 8526523604 9016812800 9580363600 10031204240 10583737600 10658154505 12481644800 12539005300 15328581760 16049926784 17053047208 19160727200 20062408480 21316309010 25078010600 30657163520 32099853568 34106094416 38321454400 40124816960 42632618020 50156021200 53290772525 68212188832 76642908800 80249633920 85265236040 100312042400 106581545050 136424377664 153285817600 160499267840 170530472080 200624084800 213163090100 272848755328 341060944160 401248169600 426326180200 545697510656 682121888320 802496339200 852652360400 1364243776640 1705304720800 2728487553280 3410609441600 6821218883200 13642437766400
- Sum of all divisors σ(n): 36216346849200
- Sum of proper divisors (its aliquot sum) s(n): 22573909082800
- 13642437766400 is an abundant number, because the sum of its proper divisors (22573909082800) is greater than itself. Its abundance is 8931471316400
Bases of 13642437766400
- Binary: 110001101000011000001010100000101101000000002
- Hexadecimal: 0xC6860A82D00
- Base-36: 4U38Z7IM8
Squares and roots of 13642437766400
- 13642437766400 squared (136424377664002) is 186116108210097020968960000
- 13642437766400 cubed (136424377664003) is 2539077423580816704675072626130944000000
-
The
square root of 13642437766400 is 3693567.0789089509 -
The
cube root of 13642437766400 is 23894.4658827475
Scales and comparisons
How big is 13642437766400?- 13,642,437,766,400 seconds is equal to 433,787 years, 16 weeks, 5 days, 6 hours, 13 minutes, 20 seconds.
-
To count from 1 to 13,642,437,766,400 would take you about one million, eighty-four thousand, four hundred sixty-eight 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 13642437766400 cubic inches would be around 1991.2 feet tall.
Recreational maths with 13642437766400
- 13642437766400 backwards is 00466773424631
- The number of decimal digits it has is: 14
- The sum of 13642437766400's digits is 53
- More coming soon!
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