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1390606424064 = 21134111331261
BaseRepresentation
bin10100001111000110100…
…110100001100000000000
311220221101202022200210000
4110033012212201200000
5140240430221032224
62542500305440000
7202316344401204
oct24170646414000
94827352280700
101390606424064
114968310896a0
121a5613340000
13a1197754310
144b43cc22b04
152628d63d0c9
hex143c69a1800

1390606424064 has 1440 divisors, whose sum is σ = 5124948388560. Its totient is φ = 370262016000.

The previous prime is 1390606424063. The next prime is 1390606424069. The reversal of 1390606424064 is 4604246060931.

1390606424064 is a `hidden beast` number, since 1 + 39 + 0 + 606 + 4 + 2 + 4 + 0 + 6 + 4 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1390606424063) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 22796826594 + ... + 22796826654.

Almost surely, 21390606424064 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 1390606424064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2562474194280).

1390606424064 is an abundant number, since it is smaller than the sum of its proper divisors (3734341964496).

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

1390606424064 is a wasteful number, since it uses less digits than its factorization.

1390606424064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 181 (or 121 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 45.

The spelling of 1390606424064 in words is "one trillion, three hundred ninety billion, six hundred six million, four hundred twenty-four thousand, sixty-four".