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42131552353 = 11171511492069
BaseRepresentation
bin100111001111001111…
…000111100001100001
311000202012221121121221
4213033033013201201
51142241134133403
631204401215041
73021026200102
oct471717074141
9130665847557
1042131552353
1116960187960
1281b9931481
133c85869b47
14207970c3a9
151168bd2dbd
hex9cf3c7861

42131552353 has 16 divisors (see below), whose sum is σ = 48987642240. Its totient is φ = 35809632000.

The previous prime is 42131552273. The next prime is 42131552363. The reversal of 42131552353 is 35325513124.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-42131552353 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (42131552363) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 717798 + ... + 774271.

It is an arithmetic number, because the mean of its divisors is an integer number (3061727640).

Almost surely, 242131552353 is an apocalyptic number.

It is an amenable number.

42131552353 is a deficient number, since it is larger than the sum of its proper divisors (6856089887).

42131552353 is a wasteful number, since it uses less digits than its factorization.

42131552353 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1492248.

The product of its digits is 54000, while the sum is 34.

The spelling of 42131552353 in words is "forty-two billion, one hundred thirty-one million, five hundred fifty-two thousand, three hundred fifty-three".

Divisors: 1 11 17 151 187 1661 2567 28237 1492069 16412759 25365173 225302419 279016903 2478326609 3830141123 42131552353