Search a number
-
+
1319108356944 = 243371767382979
BaseRepresentation
bin10011001100100000111…
…111000010101101010000
311200002211221002120011000
4103030200333002231100
5133103013214410234
62445553502022000
7164205510014010
oct23144077025520
94602757076130
101319108356944
11469481307624
1219379a877900
1397511b43421
1447bb928bc40
15244a6765899
hex13320fc2b50

1319108356944 has 320 divisors, whose sum is σ = 4650173798400. Its totient is φ = 349422999552.

The previous prime is 1319108356933. The next prime is 1319108357053. The reversal of 1319108356944 is 4496538019131.

1319108356944 is a `hidden beast` number, since 1 + 31 + 9 + 1 + 0 + 8 + 3 + 569 + 44 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3252847 + ... + 3635825.

It is an arithmetic number, because the mean of its divisors is an integer number (14531793120).

Almost surely, 21319108356944 is an apocalyptic number.

1319108356944 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 1319108356944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2325086899200).

1319108356944 is an abundant number, since it is smaller than the sum of its proper divisors (3331065441456).

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

1319108356944 is a wasteful number, since it uses less digits than its factorization.

1319108356944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 383087 (or 383075 counting only the distinct ones).

The product of its (nonzero) digits is 2799360, while the sum is 54.

The spelling of 1319108356944 in words is "one trillion, three hundred nineteen billion, one hundred eight million, three hundred fifty-six thousand, nine hundred forty-four".