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40402422432 = 253346762063
BaseRepresentation
bin100101101000001011…
…000000101010100000
310212021201021201022000
4211220023000222200
51130221010004212
630321032044000
72630131632021
oct455013005240
9125251251260
1040402422432
1116153128a69
1279b6833600
133a6b561648
141d53c02c48
1510b6ec81dc
hex9682c0aa0

40402422432 has 48 divisors (see below), whose sum is σ = 117840401280. Its totient is φ = 13467473856.

The previous prime is 40402422407. The next prime is 40402422457. The reversal of 40402422432 is 23422420404.

40402422432 is a `hidden beast` number, since 4 + 0 + 402 + 4 + 224 + 32 = 666.

It is an interprime number because it is at equal distance from previous prime (40402422407) and next prime (40402422457).

It is a tau number, because it is divible by the number of its divisors (48).

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 = 40402422396 and 40402422405.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 23380168 + ... + 23381895.

It is an arithmetic number, because the mean of its divisors is an integer number (2455008360).

Almost surely, 240402422432 is an apocalyptic number.

It is an amenable number.

40402422432 is an abundant number, since it is smaller than the sum of its proper divisors (77437978848).

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

40402422432 is a wasteful number, since it uses less digits than its factorization.

40402422432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46762082 (or 46762068 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 27.

Adding to 40402422432 its reverse (23422420404), we get a palindrome (63824842836).

The spelling of 40402422432 in words is "forty billion, four hundred two million, four hundred twenty-two thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 216 288 432 864 46762063 93524126 140286189 187048252 280572378 374096504 420858567 561144756 748193008 841717134 1122289512 1262575701 1496386016 1683434268 2244579024 2525151402 3366868536 4489158048 5050302804 6733737072 10100605608 13467474144 20201211216 40402422432