13688974400
13,688,974,400 is an even composite number composed of six prime numbers multiplied together.
13688974400 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of three hundred thirty-six divisors.
Prime factorization of 13688974400:
26 × 52 × 23 × 29 × 101 × 127
(2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 23 × 29 × 101 × 127)See below for interesting mathematical facts about the number 13688974400 from the Numbermatics database.
Names of 13688974400
- Cardinal: 13688974400 can be written as Thirteen billion, six hundred eighty-eight million, nine hundred seventy-four thousand, four hundred.
Scientific notation
- Scientific notation: 1.36889744 × 1010
Factors of 13688974400
Divisors of 13688974400
- Number of divisors d(n): 336
-
Complete list of divisors:
1 2 4 5 8 10 16 20 23 25 29 32 40 46 50 58 64 80 92 100 101 115 116 127 145 160 184 200 202 230 232 254 290 320 368 400 404 460 464 505 508 575 580 635 667 725 736 800 808 920 928 1010 1016 1150 1160 1270 1334 1450 1472 1600 1616 1840 1856 2020 2032 2300 2320 2323 2525 2540 2668 2900 2921 2929 3175 3232 3335 3680 3683 4040 4064 4600 4640 4646 5050 5080 5336 5800 5842 5858 6350 6464 6670 7360 7366 8080 8128 9200 9280 9292 10100 10160 10672 11600 11615 11684 11716 12700 12827 13340 14605 14645 14732 16160 16675 18400 18415 18584 20200 20320 21344 23200 23230 23368 23432 25400 25654 26680 29210 29290 29464 32320 33350 36800 36830 37168 40400 40640 42688 46400 46460 46736 46864 50800 51308 53360 58075 58420 58580 58928 64135 66700 67367 73025 73225 73660 74336 80800 84709 92075 92920 93472 93728 101600 102616 106720 116150 116840 117160 117856 128270 133400 134734 146050 146450 147320 148672 161600 169418 184150 185840 186944 187456 203200 205232 213440 232300 233680 234320 235712 256540 266800 269468 292100 292900 294640 295021 320675 336835 338836 368300 371680 371983 410464 423545 464600 467360 468640 513080 533600 538936 584200 585800 589280 590042 641350 673670 677672 736600 743360 743966 820928 847090 929200 934720 937280 1026160 1067200 1077872 1168400 1171600 1178560 1180084 1282700 1347340 1355344 1473200 1475105 1487932 1684175 1694180 1858400 1859915 2052320 2117725 2155744 2336800 2343200 2360168 2565400 2694680 2710688 2946400 2950210 2975864 3368350 3388360 3716800 3719830 4104640 4235450 4311488 4673600 4686400 4720336 5130800 5389360 5421376 5892800 5900420 5951728 6736700 6776720 7375525 7439660 8470900 8555609 9299575 9440672 10261600 10778720 11800840 11903456 13473400 13553440 14751050 14879320 16941800 17111218 18599150 18881344 20523200 21557440 23601680 23806912 26946800 27106880 29502100 29758640 33883600 34222436 37198300 42778045 47203360 53893600 59004200 59517280 67767200 68444872 74396600 85556090 94406720 107787200 118008400 119034560 135534400 136889744 148793200 171112180 213890225 236016800 273779488 297586400 342224360 427780450 472033600 547558976 595172800 684448720 855560900 1368897440 1711121800 2737794880 3422243600 6844487200 13688974400
- Sum of all divisors σ(n): 37009059840
- Sum of proper divisors (its aliquot sum) s(n): 23320085440
- 13688974400 is an abundant number, because the sum of its proper divisors (23320085440) is greater than itself. Its abundance is 9631111040
Bases of 13688974400
- Binary: 11001011111110110100101100010000002
- Hexadecimal: 0x32FED2C40
- Base-36: 6AE288W
Squares and roots of 13688974400
- 13688974400 squared (136889744002) is 187388020123855360000
- 13688974400 cubed (136889744003) is 2565149810342140852342784000000
-
The
square root of 13688974400 is 116999.8905982395 -
The
cube root of 13688974400 is 2392.1604385997
Scales and comparisons
How big is 13688974400?- 13,688,974,400 seconds is equal to 435 years, 13 weeks, 6 days, 4 hours, 53 minutes, 20 seconds.
-
To count from 1 to 13,688,974,400 would take you about eight hundred 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 13688974400 cubic inches would be around 199.3 feet tall.
Recreational maths with 13688974400
- 13688974400 backwards is 00447988631
- 13688974400 is a
Harshad number . - The number of decimal digits it has is: 11
- The sum of 13688974400's digits is 50
- More coming soon!
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