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714742669312 = 2137241137317
BaseRepresentation
bin10100110011010011111…
…10111010000000000000
32112022212122102121002021
422121221332322000000
543202243110404222
61304203115531224
7102431663306500
oct12315176720000
92468778377067
10714742669312
11256136670321
12b6631a59b14
13525278a79c9
14268452a1a00
15138d34daac7
hexa669fba000

714742669312 has 336 divisors, whose sum is σ = 1721170063368. Its totient is φ = 295729889280.

The previous prime is 714742669217. The next prime is 714742669321. The reversal of 714742669312 is 213966247417.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 273336569856 + 441406099456 = 522816^2 + 664384^2 .

Its product of digits (3048192) is a multiple of the sum of its prime divisors (504).

It is a self number, because there is not a number n which added to its sum of digits gives 714742669312.

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 23 ways as a sum of consecutive naturals, for example, 2254708578 + ... + 2254708894.

Almost surely, 2714742669312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 714742669312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (860585031684).

714742669312 is an abundant number, since it is smaller than the sum of its proper divisors (1006427394056).

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

714742669312 is a wasteful number, since it uses less digits than its factorization.

714742669312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 535 (or 504 counting only the distinct ones).

The product of its digits is 3048192, while the sum is 52.

The spelling of 714742669312 in words is "seven hundred fourteen billion, seven hundred forty-two million, six hundred sixty-nine thousand, three hundred twelve".