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44406455106 = 2313173115879
BaseRepresentation
bin101001010110110101…
…001011101101000010
311020121202120122112110
4221112311023231002
51211421023030411
632222224240150
73131301432456
oct512665135502
9136552518473
1044406455106
1117918316a82
128733770056
134258c65750
1422138c6666
15124d7982a6
hexa56d4bb42

44406455106 has 64 divisors (see below), whose sum is σ = 101622124800. Its totient is φ = 12859676928.

The previous prime is 44406455077. The next prime is 44406455147. The reversal of 44406455106 is 60155460444.

44406455106 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 325275 + ... + 441153.

It is an arithmetic number, because the mean of its divisors is an integer number (1587845700).

Almost surely, 244406455106 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 44406455106, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50811062400).

44406455106 is an abundant number, since it is smaller than the sum of its proper divisors (57215669694).

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

44406455106 is a wasteful number, since it uses less digits than its factorization.

44406455106 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115948 (or 115914 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 39.

It can be divided in two parts, 4440 and 6455106, that added together give a palindrome (6459546).

The spelling of 44406455106 in words is "forty-four billion, four hundred six million, four hundred fifty-five thousand, one hundred six".

Divisors: 1 2 3 6 13 17 26 34 39 51 78 102 221 289 442 578 663 867 1326 1734 3757 4913 7514 9826 11271 14739 22542 29478 63869 115879 127738 191607 231758 347637 383214 695274 1506427 1969943 3012854 3939886 4519281 5909829 9038562 11819658 25609259 33489031 51218518 66978062 76827777 100467093 153655554 200934186 435357403 569313527 870714806 1138627054 1306072209 1707940581 2612144418 3415881162 7401075851 14802151702 22203227553 44406455106