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400145625126 = 23413190002671
BaseRepresentation
bin1011101001010101000…
…10011011000000100110
31102020211211120220010000
411310222202123000212
523023444240001001
6503454021242130
740623660460032
oct5645242330046
91366754526100
10400145625126
11144778856745
1265673b63346
132b96c867b60
141551d66d1c2
15a61e5b1a86
hex5d2a89b026

400145625126 has 40 divisors (see below), whose sum is σ = 965593579104. Its totient is φ = 123121730160.

The previous prime is 400145625119. The next prime is 400145625127. The reversal of 400145625126 is 621526541004.

400145625126 is a `hidden beast` number, since 4 + 0 + 0 + 1 + 4 + 5 + 625 + 1 + 26 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (400145625127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 94999230 + ... + 95003441.

Almost surely, 2400145625126 is an apocalyptic number.

400145625126 is an abundant number, since it is smaller than the sum of its proper divisors (565447953978).

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

400145625126 is a wasteful number, since it uses less digits than its factorization.

400145625126 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 190002698 (or 190002689 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The spelling of 400145625126 in words is "four hundred billion, one hundred forty-five million, six hundred twenty-five thousand, one hundred twenty-six".

Divisors: 1 2 3 6 9 13 18 26 27 39 54 78 81 117 162 234 351 702 1053 2106 190002671 380005342 570008013 1140016026 1710024039 2470034723 3420048078 4940069446 5130072117 7410104169 10260144234 14820208338 15390216351 22230312507 30780432702 44460625014 66690937521 133381875042 200072812563 400145625126