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431516764340 = 225177712141721
BaseRepresentation
bin1100100011110000110…
…01110100100010110100
31112020211010220212212222
412101320121310202310
524032221242424330
6530122553501512
743114246656224
oct6217031644264
91466733825788
10431516764340
11157006a66982
126b76a111898
13318cc01511c
1416c57c36084
15b35877e0e5
hex64786748b4

431516764340 has 24 divisors (see below), whose sum is σ = 906695232072. Its totient is φ = 172509557760.

The previous prime is 431516764339. The next prime is 431516764351. The reversal of 431516764340 is 43467615134.

It can be written as a sum of positive squares in 4 ways, for example, as 14916225424 + 416600538916 = 122132^2 + 645446^2 .

It is a junction number, because it is equal to n+sod(n) for n = 431516764291 and 431516764300.

It is a congruent number.

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, 6035321 + ... + 6106400.

It is an arithmetic number, because the mean of its divisors is an integer number (37778968003).

Almost surely, 2431516764340 is an apocalyptic number.

It is an amenable number.

431516764340 is an abundant number, since it is smaller than the sum of its proper divisors (475178467732).

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

431516764340 is a wasteful number, since it uses less digits than its factorization.

431516764340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12143507 (or 12143505 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 44.

The spelling of 431516764340 in words is "four hundred thirty-one billion, five hundred sixteen million, seven hundred sixty-four thousand, three hundred forty".

Divisors: 1 2 4 5 10 20 1777 3554 7108 8885 17770 35540 12141721 24283442 48566884 60708605 121417210 242834420 21575838217 43151676434 86303352868 107879191085 215758382170 431516764340