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44429892444 = 22337487120677
BaseRepresentation
bin101001011000001110…
…100101101101011100
311020200101200101112000
4221120032211231130
51211443023024234
632224422442300
73132004566060
oct513016455534
9136611611460
1044429892444
111792a574883
12873b593390
134260a805b2
142216a67aa0
151250877899
hexa583a5b5c

44429892444 has 96 divisors (see below), whose sum is σ = 131915535360. Its totient is φ = 12668083776.

The previous prime is 44429892413. The next prime is 44429892449.

44429892444 is nontrivially palindromic in base 10.

44429892444 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (44429892449) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 307834 + ... + 428510.

It is an arithmetic number, because the mean of its divisors is an integer number (1374120160).

Almost surely, 244429892444 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 44429892444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65957767680).

44429892444 is an abundant number, since it is smaller than the sum of its proper divisors (87485642916).

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

44429892444 is a wasteful number, since it uses less digits than its factorization.

44429892444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121184 (or 121176 counting only the distinct ones).

The product of its digits is 10616832, while the sum is 54.

The spelling of 44429892444 in words is "forty-four billion, four hundred twenty-nine million, eight hundred ninety-two thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 84 108 126 189 252 378 487 756 974 1461 1948 2922 3409 4383 5844 6818 8766 10227 13149 13636 17532 20454 26298 30681 40908 52596 61362 92043 120677 122724 184086 241354 362031 368172 482708 724062 844739 1086093 1448124 1689478 2172186 2534217 3258279 3378956 4344372 5068434 6516558 7602651 10136868 13033116 15205302 22807953 30410604 45615906 58769699 91231812 117539398 176309097 235078796 352618194 411387893 528927291 705236388 822775786 1057854582 1234163679 1586781873 1645551572 2115709164 2468327358 3173563746 3702491037 4936654716 6347127492 7404982074 11107473111 14809964148 22214946222 44429892444