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1409930496 = 28331321771
BaseRepresentation
bin101010000001001…
…1101010100000000
310122021000220001000
41110002131110000
510341420233441
6351523412000
746640132352
oct12402352400
93567026030
101409930496
11663961717
12334224000
13196147800
14d53790d2
1583ba72b6
hex5409d500

1409930496 has 432 divisors, whose sum is σ = 4847713920. Its totient is φ = 402554880.

The previous prime is 1409930461. The next prime is 1409930573. The reversal of 1409930496 is 6940399041.

1409930496 is a `hidden beast` number, since 1 + 40 + 99 + 30 + 496 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 19858141 + ... + 19858211.

It is an arithmetic number, because the mean of its divisors is an integer number (11221560).

Almost surely, 21409930496 is an apocalyptic number.

1409930496 is a gapful number since it is divisible by the number (16) 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 1409930496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2423856960).

1409930496 is an abundant number, since it is smaller than the sum of its proper divisors (3437783424).

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

1409930496 is a wasteful number, since it uses less digits than its factorization.

1409930496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 209952, while the sum is 45.

The square root of 1409930496 is about 37549.0412127926. The cubic root of 1409930496 is about 1121.3277450818.

The spelling of 1409930496 in words is "one billion, four hundred nine million, nine hundred thirty thousand, four hundred ninety-six".