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1399974376320 = 2732513105117789
BaseRepresentation
bin10100010111110100111…
…110011011001110000000
311221211120121202222101200
4110113310332123032000
5140414121420020240
62551050033301200
7203100445566312
oct24276476331600
94854517688350
101399974376320
1149a7a90468a3
121a73a8704800
13a202b504b30
144ba8b0597b2
152663ac9c930
hex145f4f9b380

1399974376320 has 384 divisors, whose sum is σ = 5211401176800. Its totient is φ = 344261836800.

The previous prime is 1399974376301. The next prime is 1399974376327. The reversal of 1399974376320 is 236734799931.

1399974376320 is a `hidden beast` number, since 1 + 3 + 99 + 97 + 437 + 6 + 3 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1399974376327) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 78689986 + ... + 78707774.

Almost surely, 21399974376320 is an apocalyptic number.

1399974376320 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 1399974376320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2605700588400).

1399974376320 is an abundant number, since it is smaller than the sum of its proper divisors (3811426800480).

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

1399974376320 is a wasteful number, since it uses less digits than its factorization.

1399974376320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18878 (or 18863 counting only the distinct ones).

The product of its (nonzero) digits is 46294416, while the sum is 63.

The spelling of 1399974376320 in words is "one trillion, three hundred ninety-nine billion, nine hundred seventy-four million, three hundred seventy-six thousand, three hundred twenty".