42428619875200
42,428,619,875,200 is an even composite number composed of six prime numbers multiplied together.
42428619875200 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of three hundred eighty-four divisors.
Prime factorization of 42428619875200:
27 × 52 × 13 × 41 × 8191 × 3037
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 13 × 41 × 8191 × 3037)See below for interesting mathematical facts about the number 42428619875200 from the Numbermatics database.
Names of 42428619875200
- Cardinal: 42428619875200 can be written as Forty-two trillion, four hundred twenty-eight billion, six hundred nineteen million, eight hundred seventy-five thousand, two hundred.
Scientific notation
- Scientific notation: 4.24286198752 × 1013
Factors of 42428619875200
Divisors of 42428619875200
- Number of divisors d(n): 384
-
Complete list of divisors:
1 2 4 5 8 10 13 16 20 25 26 32 40 41 50 52 64 65 80 82 100 104 128 130 160 164 200 205 208 260 320 325 328 400 410 416 520 533 640 650 656 800 820 832 1025 1040 1066 1300 1312 1600 1640 1664 2050 2080 2132 2600 2624 2665 3037 3200 3280 4100 4160 4264 5200 5248 5330 6074 6560 8191 8200 8320 8528 10400 10660 12148 13120 13325 15185 16382 16400 17056 20800 21320 24296 26240 26650 30370 32764 32800 34112 39481 40955 41600 42640 48592 53300 60740 65528 65600 68224 75925 78962 81910 85280 97184 106483 106600 121480 124517 131056 131200 151850 157924 163820 170560 194368 197405 204775 212966 213200 242960 249034 262112 303700 315848 327640 335831 341120 388736 394810 409550 425932 426400 485920 498068 524224 532415 607400 622585 631696 655280 671662 789620 819100 851864 852800 971840 987025 996136 1048448 1064830 1214800 1245170 1263392 1310560 1343324 1579240 1618721 1638200 1679155 1703728 1705600 1943680 1974050 1992272 2129660 2429600 2490340 2526784 2621120 2662075 2686648 3112925 3158480 3237442 3276400 3358310 3407456 3948100 3984544 4259320 4365803 4859200 4980680 5053568 5242240 5324150 5373296 6225850 6316960 6474884 6552800 6716620 6814912 7896200 7969088 8093605 8395775 8518640 8731606 9718400 9961360 10648300 10746592 12451700 12633920 12949768 13105600 13433240 13629824 15792400 15938176 16187210 16791550 17037280 17463212 19922720 21296600 21493184 21829015 24876067 24903400 25267840 25899536 26211200 26866480 31584800 32374420 33583100 34074560 34926424 39845440 40468025 42593200 42986368 43658030 49752134 49806800 51799072 53732960 63169600 64748840 67166200 68149120 69852848 79690880 80936050 85186400 87316060 99504268 99613600 103598144 107465920 109145075 124380335 126339200 129497680 134332400 139705696 161872100 170372800 174632120 199008536 199227200 207196288 214931840 218290150 248760670 258995360 268664800 279411392 323388871 323744200 340745600 349264240 398017072 398454400 436580300 497521340 517990720 537329600 558822784 621901675 646777742 647488400 698528480 796034144 873160600 995042680 1019918747 1035981440 1074659200 1243803350 1293555484 1294976800 1397056960 1592068288 1616944355 1746321200 1990085360 2039837494 2487606700 2587110968 2589953600 2794113920 3184136576 3233888710 3492642400 3980170720 4079674988 4975213400 5099593735 5174221936 5179907200 6467777420 6985284800 7960341440 8084721775 8159349976 9950426800 10199187470 10348443872 12935554840 13258943711 13970569600 15920682880 16169443550 16318699952 19900853600 20398374940 20696887744 25497968675 25871109680 26517887422 32338887100 32637399904 39801707200 40796749880 41393775488 50995937350 51742219360 53035774844 64677774200 65274799808 66294718555 79603414400 81593499760 101991874700 103484438720 106071549688 129355548400 130549599616 132589437110 163186999520 203983749400 206968877440 212143099376 258711096800 265178874220 326373999040 331473592775 407967498800 424286198752 517422193600 530357748440 652747998080 662947185550 815934997600 848572397504 1034844387200 1060715496880 1325894371100 1631869995200 1697144795008 2121430993760 2651788742200 3263739990400 4242861987520 5303577484400 8485723975040 10607154968800 21214309937600 42428619875200
- Sum of all divisors σ(n): 115679636029440
- Sum of proper divisors (its aliquot sum) s(n): 73251016154240
- 42428619875200 is an abundant number, because the sum of its proper divisors (73251016154240) is greater than itself. Its abundance is 30822396279040
Bases of 42428619875200
- Binary: 10011010010110101011101101000011100011100000002
- Hexadecimal: 0x2696AED0E380
- Base-36: F1FFSSRR4
Squares and roots of 42428619875200
- 42428619875200 squared (424286198752002) is 1800187784514216463575040000
- 42428619875200 cubed (424286198752003) is 76379483213132139423394998990635008000000
-
The
square root of 42428619875200 is 6513725.4989138129 -
The
cube root of 42428619875200 is 34878.1120367657
Scales and comparisons
How big is 42428619875200?- 42,428,619,875,200 seconds is equal to 1,349,098 years, 45 weeks, 2 days, 7 hours, 6 minutes, 40 seconds.
-
To count from 1 to 42,428,619,875,200 would take you about three million, three hundred seventy-two thousand, seven hundred forty-seven 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 42428619875200 cubic inches would be around 2906.5 feet tall.
Recreational maths with 42428619875200
- 42428619875200 backwards is 00257891682424
- The number of decimal digits it has is: 14
- The sum of 42428619875200's digits is 58
- More coming soon!
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