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42135044520 = 2335536625007
BaseRepresentation
bin100111001111011100…
…011100000110101000
311000202110112000222110
4213033130130012220
51142243032411040
631205004122320
73021100653252
oct471734340650
9130673460873
1042135044520
1116962152648
1281bab363a0
133c864c050a
142079d7acd2
151169172980
hex9cf71c1a8

42135044520 has 64 divisors (see below), whose sum is σ = 128790155520. Its totient is φ = 11024009984.

The previous prime is 42135044503. The next prime is 42135044521. The reversal of 42135044520 is 2544053124.

42135044520 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is not an unprimeable number, because it can be changed into a prime (42135044521) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3306144 + ... + 3318863.

It is an arithmetic number, because the mean of its divisors is an integer number (2012346180).

Almost surely, 242135044520 is an apocalyptic number.

42135044520 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42135044520 is an abundant number, since it is smaller than the sum of its proper divisors (86655111000).

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

42135044520 is a wasteful number, since it uses less digits than its factorization.

42135044520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6625074 (or 6625070 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 30.

Adding to 42135044520 its reverse (2544053124), we get a palindrome (44679097644).

The spelling of 42135044520 in words is "forty-two billion, one hundred thirty-five million, forty-four thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 53 60 106 120 159 212 265 318 424 530 636 795 1060 1272 1590 2120 3180 6360 6625007 13250014 19875021 26500028 33125035 39750042 53000056 66250070 79500084 99375105 132500140 159000168 198750210 265000280 351125371 397500420 702250742 795000840 1053376113 1404501484 1755626855 2106752226 2809002968 3511253710 4213504452 5266880565 7022507420 8427008904 10533761130 14045014840 21067522260 42135044520