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40414432432 = 24111072146051
BaseRepresentation
bin100101101000111000…
…110100110010110000
310212022112212212220211
4211220320310302300
51130232043314212
630322141313504
72630336002423
oct455070646260
9125275785824
1040414432432
1116159991290
1279ba865894
133a70ba805a
141d5564b9ba
1510b809b9a7
hex968e34cb0

40414432432 has 40 divisors (see below), whose sum is σ = 86219785152. Its totient is φ = 18198504000.

The previous prime is 40414432411. The next prime is 40414432447. The reversal of 40414432432 is 23423441404.

It is a hoax number, since the sum of its digits (31) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 40414432394 and 40414432403.

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, 1054194 + ... + 1091857.

Almost surely, 240414432432 is an apocalyptic number.

It is an amenable number.

40414432432 is an abundant number, since it is smaller than the sum of its proper divisors (45805352720).

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

40414432432 is a wasteful number, since it uses less digits than its factorization.

40414432432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2146177 (or 2146171 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 31.

Adding to 40414432432 its reverse (23423441404), we get a palindrome (63837873836).

The spelling of 40414432432 in words is "forty billion, four hundred fourteen million, four hundred thirty-two thousand, four hundred thirty-two".

Divisors: 1 2 4 8 11 16 22 44 88 107 176 214 428 856 1177 1712 2354 4708 9416 18832 2146051 4292102 8584204 17168408 23606561 34336816 47213122 94426244 188852488 229627457 377704976 459254914 918509828 1837019656 2525902027 3674039312 5051804054 10103608108 20207216216 40414432432