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40297871952 = 243101317193
BaseRepresentation
bin100101100001111100…
…001011101001010000
310212000102120000000000
4211201330023221100
51130012223400302
630302415130000
72624422155102
oct454174135120
9125012500000
1040297871952
11160aa109708
127987813900
133a529b6860
141d43d89572
1510acc2531c
hex961f0ba50

40297871952 has 440 divisors, whose sum is σ = 134234861544. Its totient is φ = 11609505792.

The previous prime is 40297871941. The next prime is 40297872053. The reversal of 40297871952 is 25917879204.

It can be written as a sum of positive squares in 4 ways, for example, as 1746905616 + 38550966336 = 41796^2 + 196344^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 87 ways as a sum of consecutive naturals, for example, 208797168 + ... + 208797360.

Almost surely, 240297871952 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40297871952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67117430772).

40297871952 is an abundant number, since it is smaller than the sum of its proper divisors (93936989592).

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

40297871952 is a wasteful number, since it uses less digits than its factorization.

40297871952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 261 (or 228 counting only the distinct ones).

The product of its (nonzero) digits is 2540160, while the sum is 54.

The spelling of 40297871952 in words is "forty billion, two hundred ninety-seven million, eight hundred seventy-one thousand, nine hundred fifty-two".