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44041130100 = 22325211672991
BaseRepresentation
bin101001000001000011…
…100101000001110100
311012200022011012211200
4221001003211001310
51210144012130400
632122054132500
73116244300132
oct510103450164
9135608135750
1044041130100
1117750084990
128651351130
1341cb374cc6
1421bb18a752
15122b683b00
hexa410e5074

44041130100 has 324 divisors, whose sum is σ = 153029455488. Its totient is φ = 10506672000.

The previous prime is 44041130099. The next prime is 44041130117. The reversal of 44041130100 is 103114044.

It is a super-2 number, since 2×440411301002 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 44440605 + ... + 44441595.

Almost surely, 244041130100 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 44041130100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76514727744).

44041130100 is an abundant number, since it is smaller than the sum of its proper divisors (108988325388).

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

44041130100 is a wasteful number, since it uses less digits than its factorization.

44041130100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1156 (or 1079 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 44041130100 its reverse (103114044), we get a palindrome (44144244144).

The spelling of 44041130100 in words is "forty-four billion, forty-one million, one hundred thirty thousand, one hundred".