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42107040003 = 3723130013079
BaseRepresentation
bin100111001101110001…
…100111000100000011
311000200111211021000010
4213031301213010003
51142213400240003
631202124000003
73020310635400
oct471561470403
9130614737003
1042107040003
1116948365416
1281b1690003
133c807668b2
14207636b2a7
151166990003
hex9cdc67103

42107040003 has 48 divisors (see below), whose sum is σ = 67459983360. Its totient is φ = 23269680000.

The previous prime is 42107039929. The next prime is 42107040061. The reversal of 42107040003 is 30004070124.

It is a de Polignac number, because none of the positive numbers 2k-42107040003 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (42107040083) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13674018 + ... + 13677096.

It is an arithmetic number, because the mean of its divisors is an integer number (1405416320).

Almost surely, 242107040003 is an apocalyptic number.

42107040003 is a deficient number, since it is larger than the sum of its proper divisors (25352943357).

42107040003 is a wasteful number, since it uses less digits than its factorization.

42107040003 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6128 (or 6121 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 21.

The spelling of 42107040003 in words is "forty-two billion, one hundred seven million, forty thousand, three".

Divisors: 1 3 7 21 31 49 93 147 217 651 1519 3001 3079 4557 9003 9237 21007 21553 63021 64659 93031 95449 147049 150871 279093 286347 441147 452613 651217 668143 1953651 2004429 4558519 4677001 9240079 13675557 14031003 27720237 64680553 194041659 286442449 452763871 859327347 1358291613 2005097143 6015291429 14035680001 42107040003