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44070944625 = 3253315932131
BaseRepresentation
bin101001000010110101…
…010011111101110001
311012202101020221200100
4221002311103331301
51210224130212000
632125041143013
73120055564011
oct510265237561
9135671227610
1044070944625
1117765998a94
12865b32aa69
1342045b3736
1421c110bc41
15122e0c2a00
hexa42d53f71

44070944625 has 96 divisors (see below), whose sum is σ = 82184813568. Its totient is φ = 22697280000.

The previous prime is 44070944623. The next prime is 44070944629. The reversal of 44070944625 is 52644907044.

It is not a de Polignac number, because 44070944625 - 21 = 44070944623 is a prime.

It is a super-3 number, since 3×440709446253 (a number of 33 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (44070944623) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 20679810 + ... + 20681940.

It is an arithmetic number, because the mean of its divisors is an integer number (856091808).

Almost surely, 244070944625 is an apocalyptic number.

44070944625 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

44070944625 is a deficient number, since it is larger than the sum of its proper divisors (38113868943).

44070944625 is a wasteful number, since it uses less digits than its factorization.

44070944625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2776 (or 2763 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 45.

The spelling of 44070944625 in words is "forty-four billion, seventy million, nine hundred forty-four thousand, six hundred twenty-five".

Divisors: 1 3 5 9 15 25 31 45 75 93 125 155 225 279 375 465 593 775 1125 1395 1779 2131 2325 2965 3875 5337 6393 6975 8895 10655 11625 14825 18383 19179 26685 31965 34875 44475 53275 55149 66061 74125 91915 95895 133425 159825 165447 198183 222375 266375 275745 330305 459575 479475 594549 667125 799125 827235 990915 1263683 1378725 1651525 2297875 2397375 2972745 3791049 4136175 4954575 6318415 6893625 8257625 11373147 14863725 18955245 20680875 24772875 31592075 39174173 56865735 74318625 94776225 117522519 157960375 195870865 284328675 352567557 473881125 587612595 979354325 1421643375 1762837785 2938062975 4896771625 8814188925 14690314875 44070944625