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320935846144 = 28354072
BaseRepresentation
bin1001010101110010100…
…01000110000100000000
31010200101120102012120011
410222321101012010000
520224234034034034
6403234052554304
732121042452554
oct4527121060400
91120346365504
10320935846144
11114120a11391
1252248922994
1324358370b54
1411767835864
158535687864
hex4ab9446100

320935846144 has 27 divisors (see below), whose sum is σ = 640636130127. Its totient is φ = 160463390976.

The previous prime is 320935846123. The next prime is 320935846163. The reversal of 320935846144 is 441648539023.

The square root of 320935846144 is 566512.

It is a perfect power (a square), and thus also a powerful number.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 9046489 + ... + 9081895.

Almost surely, 2320935846144 is an apocalyptic number.

320935846144 is the 566512-nd square number.

It is an amenable number.

320935846144 is a deficient number, since it is larger than the sum of its proper divisors (319700283983).

320935846144 is an frugal number, since it uses more digits than its factorization.

320935846144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70830 (or 35409 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 49.

Multiplying 320935846144 by its sum of digits (49), we get a square (15725856461056 = 39655842).

The spelling of 320935846144 in words is "three hundred twenty billion, nine hundred thirty-five million, eight hundred forty-six thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 32 64 128 256 35407 70814 141628 283256 566512 1133024 2266048 4532096 9064192 1253655649 2507311298 5014622596 10029245192 20058490384 40116980768 80233961536 160467923072 320935846144