Base | Representation |
---|---|
bin | 10100011101100000101111… |
… | …01001011001011100000000 |
3 | 12220022102121021010101202000 |
4 | 22032300113221121130000 |
5 | 21344142140333332320 |
6 | 235410102010024000 |
7 | 12322513004441310 |
oct | 1216602751313400 |
9 | 186272537111660 |
10 | 44994474120960 |
11 | 1337805a701951 |
12 | 5068292418000 |
13 | 1c14c64886a00 |
14 | b17a5bdcd440 |
15 | 53062225ac90 |
hex | 28ec17a59700 |
44994474120960 has 3456 divisors, whose sum is σ = 209938330828800. Its totient is φ = 8915670466560.
The previous prime is 44994474120907. The next prime is 44994474120971. The reversal of 44994474120960 is 6902147449944.
44994474120960 is a `hidden beast` number, since 4 + 4 + 9 + 9 + 447 + 4 + 120 + 9 + 60 = 666.
It is a tau number, because it is divible by the number of its divisors (3456).
It is a super-4 number, since 4×449944741209604 (a number of 56 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.
It is a Harshad number since it is a multiple of its sum of digits (63).
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 55480238955 + ... + 55480239765.
It is an arithmetic number, because the mean of its divisors is an integer number (60746044800).
Almost surely, 244994474120960 is an apocalyptic number.
44994474120960 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 44994474120960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104969165414400).
44994474120960 is an abundant number, since it is smaller than the sum of its proper divisors (164943856707840).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
44994474120960 is a wasteful number, since it uses less digits than its factorization.
44994474120960 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 956 (or 923 counting only the distinct ones).
The product of its (nonzero) digits is 62705664, while the sum is 63.
The spelling of 44994474120960 in words is "forty-four trillion, nine hundred ninety-four billion, four hundred seventy-four million, one hundred twenty thousand, nine hundred sixty".
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