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40400432532 = 223541564231
BaseRepresentation
bin100101101000000011…
…011010110110010100
310212021120112121200000
4211220003122312110
51130220002320112
630320521251300
72630106003405
oct455003326624
9125246477600
1040400432532
1116151a99a19
1279b6033b30
133a6b0159a5
141d538459ac
1510b6c337dc
hex9680dad94

40400432532 has 36 divisors (see below), whose sum is σ = 105905663136. Its totient is φ = 13466810520.

The previous prime is 40400432531. The next prime is 40400432539. The reversal of 40400432532 is 23523400404.

40400432532 is a `hidden beast` number, since 4 + 0 + 400 + 4 + 3 + 253 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

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

It is a junction number, because it is equal to n+sod(n) for n = 40400432496 and 40400432505.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40400432531) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 20781144 + ... + 20783087.

It is an arithmetic number, because the mean of its divisors is an integer number (2941823976).

Almost surely, 240400432532 is an apocalyptic number.

It is an amenable number.

40400432532 is an abundant number, since it is smaller than the sum of its proper divisors (65505230604).

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

40400432532 is a wasteful number, since it uses less digits than its factorization.

40400432532 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41564250 (or 41564236 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 27.

Adding to 40400432532 its reverse (23523400404), we get a palindrome (63923832936).

The spelling of 40400432532 in words is "forty billion, four hundred million, four hundred thirty-two thousand, five hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 243 324 486 972 41564231 83128462 124692693 166256924 249385386 374078079 498770772 748156158 1122234237 1496312316 2244468474 3366702711 4488936948 6733405422 10100108133 13466810844 20200216266 40400432532