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44165856144 = 2437313792003
BaseRepresentation
bin101001001000011111…
…010111101110010000
311012222222211221210210
4221020133113232100
51210422424344034
632142311324120
73122320403664
oct511037275620
9135888757723
1044165856144
1117804524463
128687080640
13421b1650b7
1421cd9768a4
1512375be8e9
hexa487d7b90

44165856144 has 80 divisors (see below), whose sum is σ = 116503561152. Its totient is φ = 14414137344.

The previous prime is 44165856143. The next prime is 44165856179.

44165856144 is nontrivially palindromic in base 10.

44165856144 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 (48).

It is a junction number, because it is equal to n+sod(n) for n = 44165856093 and 44165856102.

It is not an unprimeable number, because it can be changed into a prime (44165856143) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 434047 + ... + 526049.

Almost surely, 244165856144 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 44165856144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58251780576).

44165856144 is an abundant number, since it is smaller than the sum of its proper divisors (72337705008).

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

44165856144 is a wasteful number, since it uses less digits than its factorization.

44165856144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92224 (or 92218 counting only the distinct ones).

The product of its digits is 1843200, while the sum is 48.

The spelling of 44165856144 in words is "forty-four billion, one hundred sixty-five million, eight hundred fifty-six thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 48 73 137 146 219 274 292 411 438 548 584 822 876 1096 1168 1644 1752 2192 3288 3504 6576 10001 20002 30003 40004 60006 80008 92003 120012 160016 184006 240024 276009 368012 480048 552018 736024 1104036 1472048 2208072 4416144 6716219 12604411 13432438 20148657 25208822 26864876 37813233 40297314 50417644 53729752 75626466 80594628 100835288 107459504 151252932 161189256 201670576 302505864 322378512 605011728 920122003 1840244006 2760366009 3680488012 5520732018 7360976024 11041464036 14721952048 22082928072 44165856144