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1314046426056 = 2337137923332687
BaseRepresentation
bin10011000111110011010…
…001010011101111001000
311122121210011011211101020
4103013303101103233020
5133012131341113211
62443355315152440
7163636203221010
oct23076321235710
94577704154336
101314046426056
11467313a4aa71
121928075a5720
1396bb620ca50
1447858ca8c40
15242ac179306
hex131f3453bc8

1314046426056 has 256 divisors, whose sum is σ = 4112098099200. Its totient is φ = 340695853056.

The previous prime is 1314046426051. The next prime is 1314046426067. The reversal of 1314046426056 is 6506246404131.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 1314046425999 and 1314046426017.

It is not an unprimeable number, because it can be changed into a prime (1314046426051) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 40184545 + ... + 40217231.

It is an arithmetic number, because the mean of its divisors is an integer number (16062883200).

Almost surely, 21314046426056 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1314046426056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2056049049600).

1314046426056 is an abundant number, since it is smaller than the sum of its proper divisors (2798051673144).

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

1314046426056 is a wasteful number, since it uses less digits than its factorization.

1314046426056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33028 (or 33024 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 42.

The spelling of 1314046426056 in words is "one trillion, three hundred fourteen billion, forty-six million, four hundred twenty-six thousand, fifty-six".