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320319790416 = 24322224442989
BaseRepresentation
bin1001010100101001000…
…11000001110101010000
31010121210122012022222100
410222110203001311100
520222003331243131
6403053004440400
732066552202663
oct4522443016520
91117718168870
10320319790416
1111393519761a
12520b6549100
132428a843232
1411709aad6da
1584eb5477e6
hex4a948c1d50

320319790416 has 30 divisors (see below), whose sum is σ = 896450524970. Its totient is φ = 106773263424.

The previous prime is 320319790411. The next prime is 320319790447. The reversal of 320319790416 is 614097913023.

320319790416 is a `hidden beast` number, since 32 + 0 + 31 + 97 + 90 + 416 = 666.

It can be written as a sum of positive squares in only one way, i.e., 212801380416 + 107518410000 = 461304^2 + 327900^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (320319790411) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1112221351 + ... + 1112221638.

Almost surely, 2320319790416 is an apocalyptic number.

320319790416 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

320319790416 is an abundant number, since it is smaller than the sum of its proper divisors (576130734554).

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

320319790416 is a wasteful number, since it uses less digits than its factorization.

320319790416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2224443003 (or 2224442994 counting only the distinct ones).

The product of its (nonzero) digits is 244944, while the sum is 45.

The spelling of 320319790416 in words is "three hundred twenty billion, three hundred nineteen million, seven hundred ninety thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 2224442989 4448885978 6673328967 8897771956 13346657934 17795543912 20019986901 26693315868 35591087824 40039973802 53386631736 80079947604 106773263472 160159895208 320319790416