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1412318040 = 233574783431
BaseRepresentation
bin101010000101110…
…0100001101011000
310122102112012010120
41110023210031120
510343023134130
6352050513240
746666335210
oct12413441530
93572465116
101412318040
116652424a1
12334b95820
131967a2463
14d57db240
1583ec9910
hex542e4358

1412318040 has 256 divisors, whose sum is σ = 5016453120. Its totient is φ = 311416320.

The previous prime is 1412318029. The next prime is 1412318077. The reversal of 1412318040 is 408132141.

It is a super-2 number, since 2×14123180402 = 3989284492218883200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 1412318040.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3276625 + ... + 3277055.

It is an arithmetic number, because the mean of its divisors is an integer number (19595520).

Almost surely, 21412318040 is an apocalyptic number.

1412318040 is a gapful number since it is divisible by the number (10) 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 1412318040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2508226560).

1412318040 is an abundant number, since it is smaller than the sum of its proper divisors (3604135080).

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

1412318040 is a wasteful number, since it uses less digits than its factorization.

1412318040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 582 (or 578 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

The square root of 1412318040 is about 37580.8201081349. The cubic root of 1412318040 is about 1121.9603317180.

The spelling of 1412318040 in words is "one billion, four hundred twelve million, three hundred eighteen thousand, forty".