13140842400
13,140,842,400 is an even composite number composed of six prime numbers multiplied together.
What does the number 13140842400 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 432 divisors.
13140842400 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 13140842400:
25 × 32 × 52 × 7 × 127 × 2053
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 7 × 127 × 2053)See below for interesting mathematical facts about the number 13140842400 from the Numbermatics database.
Names of 13140842400
- Cardinal: 13140842400 can be written as Thirteen billion, one hundred forty million, eight hundred forty-two thousand, four hundred.
Scientific notation
- Scientific notation: 1.31408424 × 1010
Factors of 13140842400
Divisors of 13140842400
- Number of divisors d(n): 432
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Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 25 28 30 32 35 36 40 42 45 48 50 56 60 63 70 72 75 80 84 90 96 100 105 112 120 126 127 140 144 150 160 168 175 180 200 210 224 225 240 252 254 280 288 300 315 336 350 360 381 400 420 450 480 504 508 525 560 600 630 635 672 700 720 762 800 840 889 900 1008 1016 1050 1120 1143 1200 1260 1270 1400 1440 1524 1575 1680 1778 1800 1905 2016 2032 2053 2100 2286 2400 2520 2540 2667 2800 3048 3150 3175 3360 3556 3600 3810 4064 4106 4200 4445 4572 5040 5080 5334 5600 5715 6096 6159 6300 6350 7112 7200 7620 8001 8212 8400 8890 9144 9525 10080 10160 10265 10668 11430 12192 12318 12600 12700 13335 14224 14371 15240 16002 16424 16800 17780 18288 18477 19050 20320 20530 21336 22225 22860 24636 25200 25400 26670 28448 28575 28742 30480 30795 32004 32848 35560 36576 36954 38100 40005 41060 42672 43113 44450 45720 49272 50400 50800 51325 53340 57150 57484 60960 61590 64008 65696 66675 71120 71855 73908 76200 80010 82120 85344 86226 88900 91440 92385 98544 101600 102650 106680 114300 114968 123180 128016 129339 133350 142240 143710 147816 152400 153975 160020 164240 172452 177800 182880 184770 197088 200025 205300 213360 215565 228600 229936 246360 256032 258678 260731 266700 287420 295632 304800 307950 320040 328480 344904 355600 359275 369540 400050 410600 426720 431130 457200 459872 461925 492720 517356 521462 533400 574840 591264 615900 640080 646695 689808 711200 718550 739080 782193 800100 821200 862260 914400 923850 985440 1034712 1042924 1066800 1077825 1149680 1231800 1280160 1293390 1303655 1379616 1437100 1478160 1564386 1600200 1642400 1724520 1825117 1847700 2069424 2085848 2133600 2155650 2299360 2346579 2463600 2586780 2607310 2874200 2956320 3128772 3200400 3233475 3449040 3650234 3695400 3910965 4138848 4171696 4311300 4693158 4927200 5173560 5214620 5475351 5748400 6257544 6400800 6466950 6518275 6898080 7300468 7390800 7821930 8343392 8622600 9125585 9386316 10347120 10429240 10950702 11496800 11732895 12515088 12933900 13036550 14600936 14781600 15643860 16426053 17245200 18251170 18772632 19554825 20694240 20858480 21901404 23465790 25030176 25867800 26073100 27376755 29201872 31287720 32852106 34490400 36502340 37545264 39109650 41716960 43802808 45627925 46931580 51735600 52146200 54753510 58403744 58664475 62575440 65704212 73004680 75090528 78219300 82130265 87605616 91255850 93863160 103471200 104292400 109507020 117328950 125150880 131408424 136883775 146009360 156438600 164260530 175211232 182511700 187726320 208584800 219014040 234657900 262816848 273767550 292018720 312877200 328521060 365023400 375452640 410651325 438028080 469315800 525633696 547535100 625754400 657042120 730046800 821302650 876056160 938631600 1095070200 1314084240 1460093600 1642605300 1877263200 2190140400 2628168480 3285210600 4380280800 6570421200 13140842400
- Sum of all divisors σ(n): 53400582144
- Sum of proper divisors (its aliquot sum) s(n): 40259739744
- 13140842400 is an abundant number, because the sum of its proper divisors (40259739744) is greater than itself. Its abundance is 27118897344
Bases of 13140842400
- Binary: 11000011110100000101010111101000002
- Hexadecimal: 0x30F4157A0
- Base-36: 61BPUW0
Squares and roots of 13140842400
- 13140842400 squared (131408424002) is 172681738981637760000
- 13140842400 cubed (131408424003) is 2269183517315638298049024000000
-
The
square root of 13140842400 is 114633.5134243037 -
The
cube root of 13140842400 is 2359.7956827809
Scales and comparisons
How big is 13140842400?- 13,140,842,400 seconds is equal to 417 years, 43 weeks, 4 days, 2 hours.
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To count from 1 to 13,140,842,400 would take you about eight hundred thirty-five 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 13140842400 cubic inches would be around 196.6 feet tall.
Recreational maths with 13140842400
- 13140842400 backwards is 00424804131
- The number of decimal digits it has is: 11
- The sum of 13140842400's digits is 27
- More coming soon!
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