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1343640110904 = 2333713313761977
BaseRepresentation
bin10011100011010111001…
…100010000011100111000
311202110011120220210011000
4103203113030100130320
5134003233332022104
62505132034405000
7166034440333410
oct23432714203470
94673146823130
101343640110904
1147891a8a5453
121984a6430760
1399921361c80
1449065387640
1524e40293639
hex138d7310738

1343640110904 has 1024 divisors, whose sum is σ = 4954882867200. Its totient is φ = 327861043200.

The previous prime is 1343640110903. The next prime is 1343640110927. The reversal of 1343640110904 is 4090110463431.

1343640110904 is a `hidden beast` number, since 1 + 3 + 4 + 3 + 640 + 1 + 1 + 0 + 9 + 0 + 4 = 666.

It is a super-2 number, since 2×13436401109042 (a number of 25 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1343640110903) 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 255 ways as a sum of consecutive naturals, for example, 1375270864 + ... + 1375271840.

It is an arithmetic number, because the mean of its divisors is an integer number (4838752800).

Almost surely, 21343640110904 is an apocalyptic number.

1343640110904 is a gapful number since it is divisible by the number (14) 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 1343640110904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2477441433600).

1343640110904 is an abundant number, since it is smaller than the sum of its proper divisors (3611242756296).

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

1343640110904 is a wasteful number, since it uses less digits than its factorization.

1343640110904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1141 (or 1131 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The spelling of 1343640110904 in words is "one trillion, three hundred forty-three billion, six hundred forty million, one hundred ten thousand, nine hundred four".