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42114000528 = 24322811040777
BaseRepresentation
bin100111001110001100…
…001010011010010000
311000200222220220001100
4213032030022122100
51142222141004103
631202533104400
73020424045435
oct471614123220
9130628826040
1042114000528
1116951289a16
1281b3a88100
133c82032b52
14207725db8c
1511673b75a3
hex9ce30a690

42114000528 has 60 divisors (see below), whose sum is σ = 118280256588. Its totient is φ = 13988029440.

The previous prime is 42114000503. The next prime is 42114000529. The reversal of 42114000528 is 82500041124.

It can be written as a sum of positive squares in 2 ways, for example, as 33090520464 + 9023480064 = 181908^2 + 94992^2 .

It is not an unprimeable number, because it can be changed into a prime (42114000529) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 479925 + ... + 560852.

Almost surely, 242114000528 is an apocalyptic number.

42114000528 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

42114000528 is an abundant number, since it is smaller than the sum of its proper divisors (76166256060).

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

42114000528 is a wasteful number, since it uses less digits than its factorization.

42114000528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1041072 (or 1041063 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

The spelling of 42114000528 in words is "forty-two billion, one hundred fourteen million, five hundred twenty-eight", and thus it is an aban number.

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 281 562 843 1124 1686 2248 2529 3372 4496 5058 6744 10116 13488 20232 40464 1040777 2081554 3122331 4163108 6244662 8326216 9366993 12489324 16652432 18733986 24978648 37467972 49957296 74935944 149871888 292458337 584916674 877375011 1169833348 1754750022 2339666696 2632125033 3509500044 4679333392 5264250066 7019000088 10528500132 14038000176 21057000264 42114000528