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319286022916 = 2272403612
BaseRepresentation
bin1001010010101101110…
…11100001001100000100
31010112010120222111120011
410221112323201030010
520212344210213131
6402402235320004
732032130262400
oct4512673411404
91115116874504
10319286022916
111134546aa813
1251a682b0004
13241546122a3
141164c692100
15848a8e60b1
hex4a56ee1304

319286022916 has 27 divisors (see below), whose sum is σ = 649991222517. Its totient is φ = 136833476640.

The previous prime is 319286022889. The next prime is 319286022947. The reversal of 319286022916 is 619220682913.

The square root of 319286022916 is 565054.

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

It can be written as a sum of positive squares in only one way, i.e., 307965062916 + 11320960000 = 554946^2 + 106400^2 .

It is a Harshad number since it is a multiple of its sum of digits (49).

It is a self number, because there is not a number n which added to its sum of digits gives 319286022916.

It is an unprimeable number.

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 8 ways as a sum of consecutive naturals, for example, 7890576 + ... + 7930936.

Almost surely, 2319286022916 is an apocalyptic number.

319286022916 is the 565054-th square number.

It is an amenable number.

319286022916 is an abundant number, since it is smaller than the sum of its proper divisors (330705199601).

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

319286022916 is an frugal number, since it uses more digits than its factorization.

319286022916 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80740 (or 40370 counting only the distinct ones).

The product of its (nonzero) digits is 559872, while the sum is 49.

Multiplying 319286022916 by its sum of digits (49), we get a square (15645015122884 = 39553782).

319286022916 divided by its sum of digits (49) gives a square (6516041284 = 807222).

The spelling of 319286022916 in words is "three hundred nineteen billion, two hundred eighty-six million, twenty-two thousand, nine hundred sixteen".

Divisors: 1 2 4 7 14 28 49 98 196 40361 80722 161444 282527 565054 1130108 1977689 3955378 7910756 1629010321 3258020642 6516041284 11403072247 22806144494 45612288988 79821505729 159643011458 319286022916