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1112683703040 = 28355713192069
BaseRepresentation
bin10000001100010001000…
…111011110101100000000
310221101000211200122100000
4100030101013132230000
5121212234011444130
62211054305200000
7143250224265420
oct20142107365400
93841024618300
101112683703040
11399982a408a8
1215b78b630000
1380c057943c0
143bbd5c1a480
151de24275260
hex103111deb00

1112683703040 has 1728 divisors, whose sum is σ = 5174780083200. Its totient is φ = 222300536832.

The previous prime is 1112683703039. The next prime is 1112683703071. The reversal of 1112683703040 is 403073862111.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (1728).

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 = 1112683702986 and 1112683703004.

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, 537787126 + ... + 537789194.

It is an arithmetic number, because the mean of its divisors is an integer number (2994664400).

Almost surely, 21112683703040 is an apocalyptic number.

1112683703040 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 1112683703040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2587390041600).

1112683703040 is an abundant number, since it is smaller than the sum of its proper divisors (4062096380160).

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

1112683703040 is a wasteful number, since it uses less digits than its factorization.

1112683703040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2144 (or 2118 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The spelling of 1112683703040 in words is "one trillion, one hundred twelve billion, six hundred eighty-three million, seven hundred three thousand, forty".