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1114325110080 = 26325713113191197
BaseRepresentation
bin10000001101110010111…
…100111100110101000000
310221112021020021202111100
4100031302330330311000
5121224114212010310
62211525222214400
7143336005103610
oct20156274746500
93845236252440
101114325110080
1139a645524246
1215bb69284400
1381107867280
143bd0dc0ca40
151debd402ec0
hex10372f3cd40

1114325110080 has 1344 divisors, whose sum is σ = 4808256380928. Its totient is φ = 230632980480.

The previous prime is 1114325110051. The next prime is 1114325110091. The reversal of 1114325110080 is 800115234111.

1114325110080 is a `hidden beast` number, since 1 + 1 + 1 + 432 + 51 + 100 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a congruent number.

It is an unprimeable number.

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 191 ways as a sum of consecutive naturals, for example, 5656472542 + ... + 5656472738.

It is an arithmetic number, because the mean of its divisors is an integer number (3577571712).

Almost surely, 21114325110080 is an apocalyptic number.

1114325110080 is a gapful number since it is divisible by the number (10) 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 1114325110080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2404128190464).

1114325110080 is an abundant number, since it is smaller than the sum of its proper divisors (3693931270848).

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

1114325110080 is a wasteful number, since it uses less digits than its factorization.

1114325110080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 544 (or 531 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 27.

The spelling of 1114325110080 in words is "one trillion, one hundred fourteen billion, three hundred twenty-five million, one hundred ten thousand, eighty".