13940906049122400
13,940,906,049,122,400 is an even composite number composed of eight prime numbers multiplied together.
13940906049122400 is an even composite number. It is composed of eight distinct prime numbers multiplied together. It has a total of two thousand, three hundred four divisors.
Prime factorization of 13940906049122400:
25 × 33 × 52 × 17 × 29 × 191 × 1093 × 6271
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 5 × 17 × 29 × 191 × 1093 × 6271)See below for interesting mathematical facts about the number 13940906049122400 from the Numbermatics database.
Names of 13940906049122400
- Cardinal: 13940906049122400 can be written as Thirteen quadrillion, nine hundred forty trillion, nine hundred six billion, forty-nine million, one hundred twenty-two thousand, four hundred.
Scientific notation
- Scientific notation: 1.39409060491224 × 1016
Factors of 13940906049122400
Divisors of 13940906049122400
- Number of divisors d(n): 2304
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Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 17 18 20 24 25 27 29 30 32 34 36 40 45 48 50 51 54 58 60 68 72 75 80 85 87 90 96 100 102 108 116 120 135 136 144 145 150 153 160 170 174 180 191 200 204 216 225 232 240 255 261 270 272 288 290 300 306 340 348 360 382 400 408 425 432 435 450 459 464 480 493 510 522 540 544 573 580 600 612 675 680 696 720 725 764 765 783 800 816 850 864 870 900 918 928 955 986 1020 1044 1080 1093 1146 1160 1200 1224 1275 1305 1350 1360 1392 1440 1450 1479 1528 1530 1566 1632 1700 1719 1740 1800 1836 1910 1972 2040 2088 2160 2175 2186 2292 2295 2320 2400 2448 2465 2550 2610 2700 2720 2784 2865 2900 2958 3056 3060 3132 3247 3279 3400 3438 3480 3600 3672 3820 3825 3915 3944 4080 4176 4320 4350 4372 4437 4584 4590 4640 4775 4896 4930 5100 5157 5220 5400 5465 5539 5730 5800 5916 6112 6120 6264 6271 6494 6525 6558 6800 6876 6960 7200 7344 7395 7640 7650 7830 7888 8160 8352 8595 8700 8744 8874 9168 9180 9550 9741 9837 9860 10200 10314 10440 10800 10930 11078 11460 11475 11600 11832 12240 12325 12528 12542 12988 13050 13116 13311 13600 13752 13920 14325 14688 14790 15280 15300 15660 15776 16235 16395 16617 17190 17400 17488 17748 18336 18360 18581 18813 19100 19482 19575 19674 19720 20400 20628 20880 21600 21860 22156 22185 22920 22950 23200 23664 24480 24650 25056 25084 25785 25976 26100 26232 26622 27325 27504 27695 28650 29223 29511 29580 30560 30600 31320 31355 31697 32470 32790 33234 34380 34800 34976 35496 36720 36975 37162 37626 38200 38964 39150 39348 39440 40800 41256 41760 42975 43720 44312 44370 45840 45900 47328 48705 49185 49300 49851 50168 51570 51952 52200 52464 53244 54650 55008 55390 55743 56439 57300 58446 59022 59160 61200 62640 62710 63394 64940 65580 66468 66555 68760 69600 70992 73440 73950 74324 75252 76400 77928 78300 78696 78880 81175 81975 82512 83085 85950 87440 87669 88624 88740 91680 91800 92905 94065 94163 95091 97410 98370 98600 99702 100336 103140 103904 104400 104928 106488 106607 109300 110780 110925 111486 112878 114600 116892 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6833777475060 7069424974200 7298903690640 7593086083400 7744947805068 8012014970760 8109892989600 8200532970072 8542221843825 8902238856400 9111703300080 9123629613300 9425899965600 9614417964912 9681184756335 10015018713450 10250666212590 10326597073424 10682686627680 10934043960096 11389629125100 11617421707602 12018022456140 12164839484400 12754717336800 12908246341780 13353358284600 13667554950120 14138849948400 14597807381280 15022528070175 15186172166800 15489895610136 16024029941520 16135307927225 16401065940144 17084443687650 17426132561403 17804477712800 18223406600160 18247259226600 19228835929824 19362369512670 20030037426900 20501332425180 20653194146848 22779258250200 23234843415204 24036044912280 24329678968800 25626665531475 25816492683560 26706716569200 27335109900240 28277699896800 29043554269005 30045056140350 30372344333600 30979791220272 32048059883040 32270615854450 32802131880288 34168887375300 34852265122806 36494518453200 38724739025340 40060074853800 41002664850360 45558516500400 46469686830408 48072089824560 48405923781675 51253331062950 51632985367120 53413433138400 54670219800480 58087108538010 60090112280700 61959582440544 64541231708900 68337774750600 69704530245612 72989036906400 77449478050680 80120149707600 82005329700720 87130662807015 91117033000800 92939373660816 96144179649120 96811847563350 102506662125900 103265970734240 116174217076020 120180224561400 129082463417800 136675549501200 139409060491224 145217771345025 154898956101360 160240299415200 164010659401440 174261325614030 185878747321632 193623695126700 205013324251800 232348434152040 240360449122800 258164926835600 273351099002400 278818120982448 290435542690050 309797912202720 348522651228060 387247390253400 410026648503600 435653314035075 464696868304080 480720898245600 516329853671200 557636241964896 580871085380100 697045302456120 774494780506800 820053297007200 871306628070150 929393736608160 1161742170760200 1394090604912240 1548989561013600 1742613256140300 2323484341520400 2788181209824480 3485226512280600 4646968683040800 6970453024561200 13940906049122400
- Sum of all divisors σ(n): 55575143763148800
- Sum of proper divisors (its aliquot sum) s(n): 41634237714026400
- 13940906049122400 is an abundant number, because the sum of its proper divisors (41634237714026400) is greater than itself. Its abundance is 27693331664904000
Bases of 13940906049122400
- Binary: 1100011000011100101110001000001110011110110000011000002
- Hexadecimal: 0x31872E20E7B060
- Base-36: 3T9MZTQ4BC0
Squares and roots of 13940906049122400
- 13940906049122400 squared (139409060491224002) is 194348861470457524201810181760000
- 13940906049122400 cubed (139409060491224003) is 2709399218513552634586563460610075032487424000000
-
The
square root of 13940906049122400 is 118071614.0701159383 -
The
cube root of 13940906049122400 is 240674.6414380499
Scales and comparisons
How big is 13940906049122400?- 13,940,906,049,122,400 seconds is equal to 443,277,690 years, 16 weeks, 6 hours.
-
To count from 1 to 13,940,906,049,122,400 would take you about one billion, three hundred twenty-nine million, eight hundred thirty-three thousand and seventy 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 13940906049122400 cubic inches would be around 20056.2 feet tall.
Recreational maths with 13940906049122400
- 13940906049122400 backwards is 00422194060904931
- 13940906049122400 is a
Harshad number . - The number of decimal digits it has is: 17
- The sum of 13940906049122400's digits is 54
- More coming soon!
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"Number 13940906049122400 - Facts about the integer". Numbermatics.com. 2024. Web. 22 June 2024.
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Numbermatics. (2024). Number 13940906049122400 - Facts about the integer. Retrieved 22 June 2024, from https://numbermatics.com/n/13940906049122400/
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The information we have on file for 13940906049122400 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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