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3113522375040 = 2737572114127
BaseRepresentation
bin101101010011101100011…
…001010010100110000000
3102000122112201122110000000
4231103230121102212000
5402002443212000130
610342155450000000
7440641662344400
oct55235431224600
912018481573000
103113522375040
11aa048a236340
12423508416000
131977b09cb89c
14aa9a3c20800
1555ecabb8260
hex2d4ec652980

3113522375040 has 1536 divisors, whose sum is σ = 14169713356800. Its totient is φ = 646808924160.

The previous prime is 3113522375039. The next prime is 3113522375087. The reversal of 3113522375040 is 405732253113.

3113522375040 is a `hidden beast` number, since 3 + 1 + 13 + 522 + 37 + 50 + 40 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 3113522374986 and 3113522375004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 754425457 + ... + 754429583.

It is an arithmetic number, because the mean of its divisors is an integer number (9225073800).

Almost surely, 23113522375040 is an apocalyptic number.

3113522375040 is a gapful number since it is divisible by the number (30) 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 3113522375040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7084856678400).

3113522375040 is an abundant number, since it is smaller than the sum of its proper divisors (11056190981760).

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

3113522375040 is an equidigital number, since it uses as much as digits as its factorization.

3113522375040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4192 (or 4155 counting only the distinct ones).

The product of its (nonzero) digits is 75600, while the sum is 36.

The spelling of 3113522375040 in words is "three trillion, one hundred thirteen billion, five hundred twenty-two million, three hundred seventy-five thousand, forty".