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44569034144 = 2561197115901
BaseRepresentation
bin101001100000100001…
…010111110110100000
311021001002111112001022
4221200201113312200
51212234133043034
632250313025012
73135314353025
oct514041276640
9137032445038
1044569034144
11179a1070018
12877a0b5168
13428384a06b
14222b32754c
15125cbaeb2e
hexa60857da0

44569034144 has 48 divisors (see below), whose sum is σ = 89637215976. Its totient is φ = 21807744000.

The previous prime is 44569034137. The next prime is 44569034161. The reversal of 44569034144 is 44143096544.

It can be written as a sum of positive squares in 4 ways, for example, as 25084224400 + 19484809744 = 158380^2 + 139588^2 .

It is a junction number, because it is equal to n+sod(n) for n = 44569034095 and 44569034104.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 326594 + ... + 442494.

Almost surely, 244569034144 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 44569034144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44818607988).

44569034144 is an abundant number, since it is smaller than the sum of its proper divisors (45068181832).

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

44569034144 is a wasteful number, since it uses less digits than its factorization.

44569034144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116169 (or 116161 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 44.

The spelling of 44569034144 in words is "forty-four billion, five hundred sixty-nine million, thirty-four thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 32 61 122 197 244 394 488 788 976 1576 1952 3152 6304 12017 24034 48068 96136 115901 192272 231802 384544 463604 927208 1854416 3708832 7069961 14139922 22832497 28279844 45664994 56559688 91329988 113119376 182659976 226238752 365319952 730639904 1392782317 2785564634 5571129268 11142258536 22284517072 44569034144