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1399222141200 = 2432521329897909
BaseRepresentation
bin10100010111001000001…
…000111000000100010000
311221202122012022110210200
4110113020020320010100
5140411101332004300
62550443242255200
7203043012651102
oct24271010700420
94852565273720
101399222141200
1149a45246a484
121a72187b7500
13a1c3b706bb0
144ba191a5572
15265e4c0d200
hex145c8238110

1399222141200 has 180 divisors, whose sum is σ = 5229204254820. Its totient is φ = 344423900160.

The previous prime is 1399222141129. The next prime is 1399222141283. The reversal of 1399222141200 is 21412229931.

1399222141200 is a `hidden beast` number, since 1 + 3 + 99 + 222 + 141 + 200 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 736145424 + 1398485995776 = 27132^2 + 1182576^2 .

It is a tau number, because it is divible by the number of its divisors (180).

It is a Harshad number since it is a multiple of its sum of digits (36).

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 35 ways as a sum of consecutive naturals, for example, 14902155 + ... + 14995754.

It is an arithmetic number, because the mean of its divisors is an integer number (29051134749).

Almost surely, 21399222141200 is an apocalyptic number.

1399222141200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1399222141200 is an abundant number, since it is smaller than the sum of its proper divisors (3829982113620).

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

1399222141200 is a wasteful number, since it uses less digits than its factorization.

1399222141200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29897946 (or 29897932 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The spelling of 1399222141200 in words is "one trillion, three hundred ninety-nine billion, two hundred twenty-two million, one hundred forty-one thousand, two hundred".