42628085248800
42,628,085,248,800 is an even composite number composed of six prime numbers multiplied together.
42628085248800 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two hundred eighty-eight divisors.
Prime factorization of 42628085248800:
25 × 3 × 52 × 17 × 11159 × 93629
(2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 17 × 11159 × 93629)See below for interesting mathematical facts about the number 42628085248800 from the Numbermatics database.
Names of 42628085248800
- Cardinal: 42628085248800 can be written as Forty-two trillion, six hundred twenty-eight billion, eighty-five million, two hundred forty-eight thousand, eight hundred.
Scientific notation
- Scientific notation: 4.26280852488 × 1013
Factors of 42628085248800
Divisors of 42628085248800
- Number of divisors d(n): 288
-
Complete list of divisors:
1 2 3 4 5 6 8 10 12 15 16 17 20 24 25 30 32 34 40 48 50 51 60 68 75 80 85 96 100 102 120 136 150 160 170 200 204 240 255 272 300 340 400 408 425 480 510 544 600 680 800 816 850 1020 1200 1275 1360 1632 1700 2040 2400 2550 2720 3400 4080 5100 6800 8160 10200 11159 13600 20400 22318 33477 40800 44636 55795 66954 89272 93629 111590 133908 167385 178544 187258 189703 223180 267816 278975 280887 334770 357088 374516 379406 446360 468145 535632 557950 561774 569109 669540 749032 758812 836925 892720 936290 948515 1071264 1115900 1123548 1138218 1339080 1404435 1498064 1517624 1591693 1673850 1785440 1872580 1897030 2231800 2247096 2276436 2340725 2678160 2808870 2845545 2996128 3035248 3183386 3347700 3745160 3794060 4463600 4494192 4552872 4681450 4742575 4775079 5356320 5617740 5691090 6070496 6366772 6695400 7022175 7490320 7588120 7958465 8927200 8988384 9105744 9362900 9485150 9550158 11235480 11382180 12733544 13390800 14044350 14227725 14980640 15176240 15916930 18211488 18725800 18970300 19100316 22470960 22764360 23875395 25467088 26781600 28088700 28455450 30352480 31833860 37451600 37940600 38200632 39792325 44941920 45528720 47750790 50934176 56177400 56910900 63667720 74903200 75881200 76401264 79584650 91057440 95501580 112354800 113821800 119376975 127335440 151762400 152802528 159169300 191003160 224709600 227643600 238753950 254670880 318338600 382006320 455287200 477507900 636677200 764012640 955015800 1044806011 1273354400 1910031600 2089612022 3134418033 3820063200 4179224044 5224030055 6268836066 8358448088 10448060110 12537672132 15672090165 16716896176 17761702187 20896120220 25075344264 26120150275 31344180330 33433792352 35523404374 41792240440 50150688528 52240300550 53285106561 62688360660 71046808748 78360450825 83584480880 88808510935 100301377056 104480601100 106570213122 125376721320 142093617496 156720901650 167168961760 177617021870 208961202200 213140426244 250753442640 266425532805 284187234992 313441803300 355234043740 417922404400 426280852488 444042554675 501506885280 532851065610 568374469984 626883606600 710468087480 835844808800 852561704976 888085109350 1065702131220 1253767213200 1332127664025 1420936174960 1705123409952 1776170218700 2131404262440 2507534426400 2664255328050 2841872349920 3552340437400 4262808524880 5328510656100 7104680874800 8525617049760 10657021312200 14209361749600 21314042624400 42628085248800
- Sum of all divisors σ(n): 146931177052800
- Sum of proper divisors (its aliquot sum) s(n): 104303091804000
- 42628085248800 is an abundant number, because the sum of its proper divisors (104303091804000) is greater than itself. Its abundance is 61675006555200
Bases of 42628085248800
- Binary: 10011011000101000111111110000011110011001000002
- Hexadecimal: 0x26C51FE0F320
- Base-36: F3Z2LBZ1C
Squares and roots of 42628085248800
- 42628085248800 squared (426280852488002) is 1817153651978960157901440000
- 42628085248800 cubed (426280852488003) is 77461780786727360435001293228278272000000
-
The
square root of 42628085248800 is 6529018.7048897325 -
The
cube root of 42628085248800 is 34932.6829216337
Scales and comparisons
How big is 42628085248800?- 42,628,085,248,800 seconds is equal to 1,355,441 years, 13 weeks, 1 day, 7 hours, 20 minutes.
-
To count from 1 to 42,628,085,248,800 would take you about three million, three hundred eighty-eight thousand, six 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 42628085248800 cubic inches would be around 2911.1 feet tall.
Recreational maths with 42628085248800
- 42628085248800 backwards is 00884258082624
- The number of decimal digits it has is: 14
- The sum of 42628085248800's digits is 57
- More coming soon!
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