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10041561144 = 233346488709
BaseRepresentation
bin10010101101000011…
…00001000000111000
3221220210222011022000
421112201201000320
5131031114424034
64340225301000
7503560601316
oct112641410070
927823864260
1010041561144
11429322156a
121b42a94760
13c404ac774
146b38a10b6
153db86c599
hex256861038

10041561144 has 32 divisors (see below), whose sum is σ = 27893226000. Its totient is φ = 3347186976.

The previous prime is 10041561143. The next prime is 10041561163. The reversal of 10041561144 is 44116514001.

10041561144 is a `hidden beast` number, since 1 + 0 + 0 + 4 + 1 + 5 + 611 + 44 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10041561143) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 23244139 + ... + 23244570.

Almost surely, 210041561144 is an apocalyptic number.

It is an amenable number.

10041561144 is an abundant number, since it is smaller than the sum of its proper divisors (17851664856).

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

10041561144 is a wasteful number, since it uses less digits than its factorization.

10041561144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46488724 (or 46488714 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The spelling of 10041561144 in words is "ten billion, forty-one million, five hundred sixty-one thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 216 46488709 92977418 139466127 185954836 278932254 371909672 418398381 557864508 836796762 1115729016 1255195143 1673593524 2510390286 3347187048 5020780572 10041561144