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1310044889088 = 213321317374153
BaseRepresentation
bin10011000100000100110…
…000101010000000000000
311122020110021120200121100
4103010010300222000000
5132430432442422323
62441454252254400
7163435063553325
oct23040460520000
94566407520540
101310044889088
11465650207021
12191a8b471400
13966c91a08b0
1447599674b4c
1524125bed943
hex13104c2a000

1310044889088 has 1344 divisors, whose sum is σ = 4625556298272. Its totient is φ = 353328168960.

The previous prime is 1310044889077. The next prime is 1310044889089. The reversal of 1310044889088 is 8809884400131.

1310044889088 is a `hidden beast` number, since 1 + 3 + 100 + 448 + 8 + 90 + 8 + 8 = 666.

It can be written as a sum of positive squares in 16 ways, for example, as 203408216064 + 1106636673024 = 451008^2 + 1051968^2 .

It is a super-2 number, since 2×13100448890882 (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1310044889089) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 24717828070 + ... + 24717828122.

Almost surely, 21310044889088 is an apocalyptic number.

1310044889088 is a gapful number since it is divisible by the number (18) 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 1310044889088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2312778149136).

1310044889088 is an abundant number, since it is smaller than the sum of its proper divisors (3315511409184).

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

1310044889088 is a wasteful number, since it uses less digits than its factorization.

1310044889088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 193 (or 166 counting only the distinct ones).

The product of its (nonzero) digits is 1769472, while the sum is 54.

The spelling of 1310044889088 in words is "one trillion, three hundred ten billion, forty-four million, eight hundred eighty-nine thousand, eighty-eight".