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242361190071 = 337111319895303
BaseRepresentation
bin1110000110110111011…
…0100100011010110111
3212011120120100002212000
43201231312210122313
512432323431040241
6303201133230343
723336636060610
oct3415566443267
9764516302760
10242361190071
119386a6342a0
123ab7a3323b3
1319b1561c410
14ba320c8c07
1564873b7eb6
hex386dda46b7

242361190071 has 256 divisors, whose sum is σ = 513257472000. Its totient is φ = 108842849280.

The previous prime is 242361190067. The next prime is 242361190073. The reversal of 242361190071 is 170091163242.

242361190071 is a `hidden beast` number, since 2 + 42 + 361 + 190 + 0 + 71 = 666.

It is not a de Polignac number, because 242361190071 - 22 = 242361190067 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242361190073) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 45700006 + ... + 45705308.

It is an arithmetic number, because the mean of its divisors is an integer number (2004912000).

Almost surely, 2242361190071 is an apocalyptic number.

242361190071 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

242361190071 is an abundant number, since it is smaller than the sum of its proper divisors (270896281929).

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

242361190071 is a wasteful number, since it uses less digits than its factorization.

242361190071 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5451 (or 5445 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The spelling of 242361190071 in words is "two hundred forty-two billion, three hundred sixty-one million, one hundred ninety thousand, seventy-one".