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314632338816 = 273819355049
BaseRepresentation
bin1001001010000011000…
…11000111110110000000
31010002010021020212002210
410211001203013312000
520123331334320231
6400312354542120
731505611516305
oct4450143076600
91102107225083
10314632338816
11111486830aa4
1250b89897940
1323892449a63
141132a5bd0ac
1582b709ba46
hex49418c7d80

314632338816 has 32 divisors (see below), whose sum is σ = 835742151000. Its totient is φ = 104877446144.

The previous prime is 314632338809. The next prime is 314632338817. The reversal of 314632338816 is 618833236413.

It is a tau number, because it is divible by the number of its divisors (32).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (314632338817) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 409677141 + ... + 409677908.

Almost surely, 2314632338816 is an apocalyptic number.

It is an amenable number.

314632338816 is an abundant number, since it is smaller than the sum of its proper divisors (521109812184).

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

314632338816 is an equidigital number, since it uses as much as digits as its factorization.

314632338816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 819355066 (or 819355054 counting only the distinct ones).

The product of its digits is 1492992, while the sum is 48.

The spelling of 314632338816 in words is "three hundred fourteen billion, six hundred thirty-two million, three hundred thirty-eight thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 384 819355049 1638710098 2458065147 3277420196 4916130294 6554840392 9832260588 13109680784 19664521176 26219361568 39329042352 52438723136 78658084704 104877446272 157316169408 314632338816