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1412296704 = 21232713421
BaseRepresentation
bin101010000101101…
…1111000000000000
310122102111002212100
41110023133000000
510343021443304
6352050230400
746666216050
oct12413370000
93572432770
101412296704
11665228465
12334b85400
13196795830
14d57d3560
1583ec3439
hex542df000

1412296704 has 312 divisors, whose sum is σ = 5032812512. Its totient is φ = 371589120.

The previous prime is 1412296703. The next prime is 1412296751. The reversal of 1412296704 is 4076922141.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (312).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1412296703) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3354414 + ... + 3354834.

Almost surely, 21412296704 is an apocalyptic number.

1412296704 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1412296704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2516406256).

1412296704 is an abundant number, since it is smaller than the sum of its proper divisors (3620515808).

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

1412296704 is a wasteful number, since it uses less digits than its factorization.

1412296704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 471 (or 446 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 1412296704 is about 37580.5362388564. The cubic root of 1412296704 is about 1121.9546818418.

It can be divided in two parts, 1412 and 296704, that added together give a square (298116 = 5462).

The spelling of 1412296704 in words is "one billion, four hundred twelve million, two hundred ninety-six thousand, seven hundred four".