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1380517944192 = 273219211337887
BaseRepresentation
bin10100000101101101010…
…010000001101110000000
311212222100200001211002100
4110011231102001232000
5140104300043203232
62534111242350400
7201511343624352
oct24055522015600
94788320054070
101380517944192
11492524431422
121a36787bb400
13a024a627aba
144ab6302b0d2
1525d9cb03c7c
hex1416d481b80

1380517944192 has 384 divisors, whose sum is σ = 4218704006400. Its totient is φ = 432111697920.

The previous prime is 1380517944187. The next prime is 1380517944203. The reversal of 1380517944192 is 2914497150831.

1380517944192 is a `hidden beast` number, since 1 + 3 + 80 + 51 + 79 + 441 + 9 + 2 = 666.

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

It is a super-2 number, since 2×13805179441922 (a number of 25 digits) contains 22 as substring.

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, 1556389573 + ... + 1556390459.

It is an arithmetic number, because the mean of its divisors is an integer number (10986208350).

Almost surely, 21380517944192 is an apocalyptic number.

1380517944192 is a gapful number since it is divisible by the number (12) 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 1380517944192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2109352003200).

1380517944192 is an abundant number, since it is smaller than the sum of its proper divisors (2838186062208).

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

1380517944192 is a wasteful number, since it uses less digits than its factorization.

1380517944192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1474 (or 1459 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 54.

The spelling of 1380517944192 in words is "one trillion, three hundred eighty billion, five hundred seventeen million, nine hundred forty-four thousand, one hundred ninety-two".