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110004740040 = 2335131941131691
BaseRepresentation
bin110011001110011001…
…0110001111111001000
3101111221102022210111010
41212130302301333020
53300242203140130
6122311355203520
710643006601546
oct1463462617710
9344842283433
10110004740040
114271a8983a8
12193a04465a0
13a4b1499570
145477a98d96
152cdc7320b0
hex199ccb1fc8

110004740040 has 512 divisors, whose sum is σ = 386713958400. Its totient is φ = 24800256000.

The previous prime is 110004740017. The next prime is 110004740051. The reversal of 110004740040 is 40047400011.

It is a junction number, because it is equal to n+sod(n) for n = 110004739989 and 110004740016.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 159196095 + ... + 159196785.

It is an arithmetic number, because the mean of its divisors is an integer number (755300700).

Almost surely, 2110004740040 is an apocalyptic number.

110004740040 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 110004740040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193356979200).

110004740040 is an abundant number, since it is smaller than the sum of its proper divisors (276709218360).

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

110004740040 is a wasteful number, since it uses less digits than its factorization.

110004740040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 909 (or 905 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 21.

The spelling of 110004740040 in words is "one hundred ten billion, four million, seven hundred forty thousand, forty".