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44160045444 = 223217521138497
BaseRepresentation
bin101001001000001001…
…001101000110000100
311012222120220202000200
4221020021031012010
51210414432423234
632141543010500
73122220123114
oct511011150604
9135876822020
1044160045444
1117801215829
128685139a30
134219bac308
1421ccca3044
151236d22d99
hexa4824d184

44160045444 has 72 divisors (see below), whose sum is σ = 118420775928. Its totient is φ = 13827440640.

The previous prime is 44160045437. The next prime is 44160045467. The reversal of 44160045444 is 44454006144.

44160045444 is a `hidden beast` number, since 4 + 4 + 1 + 600 + 4 + 5 + 4 + 44 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 512479044 + 43647566400 = 22638^2 + 208920^2 .

It is a super-2 number, since 2×441600454442 (a number of 22 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 44160045399 and 44160045408.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 249604 + ... + 388100.

It is an arithmetic number, because the mean of its divisors is an integer number (1644732999).

Almost surely, 244160045444 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 44160045444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59210387964).

44160045444 is an abundant number, since it is smaller than the sum of its proper divisors (74260730484).

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

44160045444 is a wasteful number, since it uses less digits than its factorization.

44160045444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139045 (or 139040 counting only the distinct ones).

The product of its (nonzero) digits is 122880, while the sum is 36.

The spelling of 44160045444 in words is "forty-four billion, one hundred sixty million, forty-five thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 68 102 153 204 306 521 612 1042 1563 2084 3126 4689 6252 8857 9378 17714 18756 26571 35428 53142 79713 106284 138497 159426 276994 318852 415491 553988 830982 1246473 1661964 2354449 2492946 4708898 4985892 7063347 9417796 14126694 21190041 28253388 42380082 72156937 84760164 144313874 216470811 288627748 432941622 649412433 865883244 1226667929 1298824866 2453335858 2597649732 3680003787 4906671716 7360007574 11040011361 14720015148 22080022722 44160045444