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42144251115000 = 2335417165271573
BaseRepresentation
bin10011001010100011110010…
…00111011111010111111000
312112012221200022200202111110
421211101321013133113320
521010442411241140000
6225344445055200320
711606551554562266
oct1145217107372770
9175187608622443
1042144251115000
1112479305068681
124887a085160a0
131a69255355588
14a59b14dd7436
154d1406c45850
hex2654791df5f8

42144251115000 has 160 divisors (see below), whose sum is σ = 139403267237520. Its totient is φ = 10577380608000.

The previous prime is 42144251114989. The next prime is 42144251115023. The reversal of 42144251115000 is 51115244124.

It is a super-2 number, since 2×421442511150002 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 82380787 + ... + 82890786.

Almost surely, 242144251115000 is an apocalyptic number.

42144251115000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42144251115000 is an abundant number, since it is smaller than the sum of its proper divisors (97259016122520).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

42144251115000 is a wasteful number, since it uses less digits than its factorization.

42144251115000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 165271619 (or 165271600 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 30.

Adding to 42144251115000 its reverse (51115244124), we get a palindrome (42195366359124).

The spelling of 42144251115000 in words is "forty-two trillion, one hundred forty-four billion, two hundred fifty-one million, one hundred fifteen thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 17 20 24 25 30 34 40 50 51 60 68 75 85 100 102 120 125 136 150 170 200 204 250 255 300 340 375 408 425 500 510 600 625 680 750 850 1000 1020 1250 1275 1500 1700 1875 2040 2125 2500 2550 3000 3400 3750 4250 5000 5100 6375 7500 8500 10200 10625 12750 15000 17000 21250 25500 31875 42500 51000 63750 85000 127500 255000 165271573 330543146 495814719 661086292 826357865 991629438 1322172584 1652715730 1983258876 2479073595 2809616741 3305431460 3966517752 4131789325 4958147190 5619233482 6610862920 8263578650 8428850223 9916294380 11238466964 12395367975 14048083705 16527157300 16857700446 19832588760 20658946625 22476933928 24790735950 28096167410 33054314600 33715400892 41317893250 42144251115 49581471900 56192334820 61976839875 67430801784 70240418525 82635786500 84288502230 99162943800 103294733125 112384669640 123953679750 140480837050 165271573000 168577004460 206589466250 210721255575 247907359500 280961674100 309884199375 337154008920 351202092625 413178932500 421442511150 495814719000 561923348200 619768398750 702404185250 826357865000 842885022300 1053606277875 1239536797500 1404808370500 1685770044600 1756010463125 2107212555750 2479073595000 2809616741000 3512020926250 4214425111500 5268031389375 7024041852500 8428850223000 10536062778750 14048083705000 21072125557500 42144251115000