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100044396000 = 253453714349
BaseRepresentation
bin101110100101100011…
…1000101010111100000
3100120020021011220010000
41131023013011113200
53114342331133000
6113543150340000
710141123222623
oct1351307052740
9316207156100
10100044396000
11394794a950a
12174807ba600
139584a85173
144bb0cd9dba
1529080a9000
hex174b1c55e0

100044396000 has 480 divisors, whose sum is σ = 372453681600. Its totient is φ = 26296704000.

The previous prime is 100044395987. The next prime is 100044396017. The reversal of 100044396000 is 693440001.

100044396000 is a `hidden beast` number, since 10 + 0 + 0 + 4 + 43 + 9 + 600 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 23001826 + ... + 23006174.

It is an arithmetic number, because the mean of its divisors is an integer number (775945170).

Almost surely, 2100044396000 is an apocalyptic number.

100044396000 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 100044396000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186226840800).

100044396000 is an abundant number, since it is smaller than the sum of its proper divisors (272409285600).

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

100044396000 is an equidigital number, since it uses as much as digits as its factorization.

100044396000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4457 (or 4430 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The spelling of 100044396000 in words is "one hundred billion, forty-four million, three hundred ninety-six thousand".