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242052442640160 = 25356771106007131
BaseRepresentation
bin110111000010010100111001…
…110111000100111100100000
31011202000222122220111001211220
4313002110321313010330200
5223211241400303441120
62214445205042335040
7101661466114101135
oct6702247167047440
91152028586431756
10242052442640160
1170141956637a29
122319347535a480
13a50a5a7c25819
1443ab58787c58c
151ceb515cc8b40
hexdc2539dc4f20

242052442640160 has 192 divisors, whose sum is σ = 784744508427264. Its totient is φ = 62688376396800.

The previous prime is 242052442640143. The next prime is 242052442640167. The reversal of 242052442640160 is 61046244250242.

It is not an unprimeable number, because it can be changed into a prime (242052442640167) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 50720206 + ... + 55286925.

It is an arithmetic number, because the mean of its divisors is an integer number (4087210981392).

Almost surely, 2242052442640160 is an apocalyptic number.

242052442640160 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

242052442640160 is an abundant number, since it is smaller than the sum of its proper divisors (542692065787104).

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

242052442640160 is a wasteful number, since it uses less digits than its factorization.

242052442640160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106007287 (or 106007279 counting only the distinct ones).

The product of its (nonzero) digits is 737280, while the sum is 42.

The spelling of 242052442640160 in words is "two hundred forty-two trillion, fifty-two billion, four hundred forty-two million, six hundred forty thousand, one hundred sixty".