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319134606400 = 26522924872
BaseRepresentation
bin1001010010011011110…
…01111010010001000000
31010111202001001202011001
410221031321322101000
520212041424401100
6402335230101344
732025311253001
oct4511571722100
91114661052131
10319134606400
111133871902a5
1251a2564a854
132412c13870c
14116365191a8
15847c486d6a
hex4a4de7a440

319134606400 has 189 divisors, whose sum is σ = 814956035439. Its totient is φ = 122998901760.

The previous prime is 319134606397. The next prime is 319134606403. The reversal of 319134606400 is 4606431913.

The square root of 319134606400 is 564920.

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

It is an interprime number because it is at equal distance from previous prime (319134606397) and next prime (319134606403).

It can be written as a sum of positive squares in 4 ways, for example, as 4386677824 + 314747928576 = 66232^2 + 561024^2 .

It is a hoax number, since the sum of its digits (37) coincides with the sum of the digits of its distinct prime factors.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 319134606400.

It is not an unprimeable number, because it can be changed into a prime (319134606403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 655306957 + ... + 655307443.

Almost surely, 2319134606400 is an apocalyptic number.

319134606400 is the 564920-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 319134606400

319134606400 is an abundant number, since it is smaller than the sum of its proper divisors (495821429039).

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

319134606400 is an frugal number, since it uses more digits than its factorization.

319134606400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1054 (or 523 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 37.

The spelling of 319134606400 in words is "three hundred nineteen billion, one hundred thirty-four million, six hundred six thousand, four hundred".