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44123143680 = 29325721121719
BaseRepresentation
bin101001000101111100…
…011011111000000000
311012220000110221022200
4221011330123320000
51210331011044210
632134144033200
73121261350600
oct510574337000
9135800427280
1044123143680
1117792400a00
128674902800
13421235ba55
1421c8018c00
1512339840c0
hexa45f1be00

44123143680 has 2160 divisors, whose sum is σ = 217770593040. Its totient is φ = 8174960640.

The previous prime is 44123143657. The next prime is 44123143733. The reversal of 44123143680 is 8634132144.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 2322270711 + ... + 2322270729.

It is an arithmetic number, because the mean of its divisors is an integer number (100819719).

Almost surely, 244123143680 is an apocalyptic number.

44123143680 is a gapful number since it is divisible by the number (40) 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 44123143680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108885296520).

44123143680 is an abundant number, since it is smaller than the sum of its proper divisors (173647449360).

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

44123143680 is a wasteful number, since it uses less digits than its factorization.

44123143680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The spelling of 44123143680 in words is "forty-four billion, one hundred twenty-three million, one hundred forty-three thousand, six hundred eighty".