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1399963334112 = 25357229316167
BaseRepresentation
bin10100010111110100010…
…100010011010111100000
311221211112211222222100000
4110113310110103113200
5140414111103142422
62551045000500000
7203100252666300
oct24276424232740
94854484888300
101399963334112
1149a7a2894702
121a73a4a7a600
13a2029139a95
144ba897c3600
1526639d1acac
hex145f45135e0

1399963334112 has 1728 divisors, whose sum is σ = 5290401392640. Its totient is φ = 362125209600.

The previous prime is 1399963334111. The next prime is 1399963334113. The reversal of 1399963334112 is 2114333699931.

It is a happy number.

1399963334112 is a `hidden beast` number, since 139 + 9 + 9 + 63 + 33 + 411 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (1399963334111) and next prime (1399963334113).

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1399963334111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 20894975103 + ... + 20894975169.

It is an arithmetic number, because the mean of its divisors is an integer number (3061574880).

Almost surely, 21399963334112 is an apocalyptic number.

1399963334112 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 1399963334112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2645200696320).

1399963334112 is an abundant number, since it is smaller than the sum of its proper divisors (3890438058528).

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

1399963334112 is a wasteful number, since it uses less digits than its factorization.

1399963334112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 227 (or 200 counting only the distinct ones).

The product of its digits is 2834352, while the sum is 54.

The spelling of 1399963334112 in words is "one trillion, three hundred ninety-nine billion, nine hundred sixty-three million, three hundred thirty-four thousand, one hundred twelve".