42342106400
42,342,106,400 is an even composite number composed of six prime numbers multiplied together.
42342106400 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 42342106400:
25 × 52 × 11 × 31 × 269 × 577
(2 × 2 × 2 × 2 × 2 × 5 × 5 × 11 × 31 × 269 × 577)See below for interesting mathematical facts about the number 42342106400 from the Numbermatics database.
Names of 42342106400
- Cardinal: 42342106400 can be written as Forty-two billion, three hundred forty-two million, one hundred six thousand, four hundred.
Scientific notation
- Scientific notation: 4.23421064 × 1010
Factors of 42342106400
Divisors of 42342106400
- Number of divisors d(n): 288
-
Complete list of divisors:
1 2 4 5 8 10 11 16 20 22 25 31 32 40 44 50 55 62 80 88 100 110 124 155 160 176 200 220 248 269 275 310 341 352 400 440 496 538 550 577 620 682 775 800 880 992 1076 1100 1154 1240 1345 1364 1550 1705 1760 2152 2200 2308 2480 2690 2728 2885 2959 3100 3410 4304 4400 4616 4960 5380 5456 5770 5918 6200 6347 6725 6820 8339 8525 8608 8800 9232 10760 10912 11540 11836 12400 12694 13450 13640 14425 14795 16678 17050 17887 18464 21520 23080 23672 24800 25388 26900 27280 28850 29590 31735 33356 34100 35774 41695 43040 46160 47344 50776 53800 54560 57700 59180 63470 66712 68200 71548 73975 83390 89435 91729 92320 94688 101552 107600 115400 118360 126940 133424 136400 143096 147950 155213 158675 166780 178870 183458 196757 203104 208475 215200 230800 236720 253880 266848 272800 286192 295900 310426 317350 333560 357740 366916 393514 416950 447175 458645 461600 473440 507760 572384 591800 620852 634700 667120 715480 733832 776065 787028 833900 894350 917290 983785 1015520 1183600 1241704 1269400 1334240 1430960 1467664 1552130 1574056 1667800 1707343 1788700 1834580 1967570 2293225 2367200 2483408 2538800 2861920 2935328 3104260 3148112 3335600 3414686 3577400 3669160 3880325 3935140 4586450 4811603 4918925 4966816 5077600 6208520 6296224 6671200 6829372 7154800 7338320 7760650 7870280 8536715 9172900 9623206 9837850 12417040 13658744 14309600 14676640 15521300 15740560 17073430 18345800 19246412 19675700 24058015 24834080 27317488 31042600 31481120 34146860 36691600 38492824 39351400 42683575 48116030 52927633 54634976 62085200 68293720 73383200 76985648 78702800 85367150 96232060 105855266 120290075 124170400 136587440 153971296 157405600 170734300 192464120 211710532 240580150 264638165 273174880 341468600 384928240 423421064 481160300 529276330 682937200 769856480 846842128 962320600 1058552660 1323190825 1365874400 1693684256 1924641200 2117105320 2646381650 3849282400 4234210640 5292763300 8468421280 10585526600 21171053200 42342106400
- Sum of all divisors σ(n): 117037509120
- Sum of proper divisors (its aliquot sum) s(n): 74695402720
- 42342106400 is an abundant number, because the sum of its proper divisors (74695402720) is greater than itself. Its abundance is 32353296320
Bases of 42342106400
- Binary: 1001110110111100100101000101001000002
- Hexadecimal: 0x9DBC94520
- Base-36: JG9EAE8
Squares and roots of 42342106400
- 42342106400 squared (423421064002) is 1792853974388920960000
- 42342106400 cubed (423421064003) is 75913213743238566269510144000000
-
The
square root of 42342106400 is 205771.9767120877 -
The
cube root of 42342106400 is 3485.4389999643
Scales and comparisons
How big is 42342106400?- 42,342,106,400 seconds is equal to 1,346 years, 18 weeks, 16 hours, 13 minutes, 20 seconds.
-
To count from 1 to 42,342,106,400 would take you about two thousand, six hundred ninety-two 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 42342106400 cubic inches would be around 290.5 feet tall.
Recreational maths with 42342106400
- 42342106400 backwards is 00460124324
- The number of decimal digits it has is: 11
- The sum of 42342106400's digits is 26
- More coming soon!
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