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242350054002 = 2337641137709
BaseRepresentation
bin1110000110110100110…
…0000101101001110010
3212011112210101100001000
43201231030011221302
512432313103212002
6303200054422430
723336442320130
oct3415514055162
9764483340030
10242350054002
1193864318631
123ab76661a16
1319b13220724
14ba3082a750
15648641861c
hex386d305a72

242350054002 has 32 divisors (see below), whose sum is σ = 615492201600. Its totient is φ = 69242872464.

The previous prime is 242350053989. The next prime is 242350054003. The reversal of 242350054002 is 200450053242.

It is a happy number.

242350054002 is a `hidden beast` number, since 24 + 235 + 0 + 0 + 5 + 400 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (242350054003) 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, 320568477 + ... + 320569232.

It is an arithmetic number, because the mean of its divisors is an integer number (19234131300).

Almost surely, 2242350054002 is an apocalyptic number.

242350054002 is an abundant number, since it is smaller than the sum of its proper divisors (373142147598).

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

242350054002 is a wasteful number, since it uses less digits than its factorization.

242350054002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 641137727 (or 641137721 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 27.

The spelling of 242350054002 in words is "two hundred forty-two billion, three hundred fifty million, fifty-four thousand, two".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 126 189 378 641137709 1282275418 1923413127 3846826254 4487963963 5770239381 8975927926 11540478762 13463891889 17310718143 26927783778 34621436286 40391675667 80783351334 121175027001 242350054002