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1380939356160 = 21133572137841
BaseRepresentation
bin10100000110000110011…
…001100101100000000000
311220000110001000202122000
4110012012121211200000
5140111130433344120
62534221134544000
7201524651565600
oct24060631454000
94800401022560
101380939356160
114927202a1481
121a3775968000
13a02b6a253b0
144aba2da6c00
1525dc4ae6990
hex14186665800

1380939356160 has 1152 divisors, whose sum is σ = 6150279844800. Its totient is φ = 291325870080.

The previous prime is 1380939356047. The next prime is 1380939356197. The reversal of 1380939356160 is 616539390831.

1380939356160 is a `hidden beast` number, since 13 + 8 + 0 + 9 + 3 + 9 + 3 + 5 + 616 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 1380939356097 and 1380939356106.

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 95 ways as a sum of consecutive naturals, for example, 176113840 + ... + 176121680.

Almost surely, 21380939356160 is an apocalyptic number.

1380939356160 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 1380939356160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3075139922400).

1380939356160 is an abundant number, since it is smaller than the sum of its proper divisors (4769340488640).

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

1380939356160 is a wasteful number, since it uses less digits than its factorization.

1380939356160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7904 (or 7871 counting only the distinct ones).

The product of its (nonzero) digits is 3149280, while the sum is 54.

The spelling of 1380939356160 in words is "one trillion, three hundred eighty billion, nine hundred thirty-nine million, three hundred fifty-six thousand, one hundred sixty".