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44433633444 = 22337100075751
BaseRepresentation
bin101001011000011100…
…110111000010100100
311020200122201110012120
4221120130313002210
51212000002232234
632225034545540
73132051436554
oct513034670244
9136618643176
1044433633444
111793169a512
1287408982b0
1342617902c5
14221735d164
151250d66049
hexa587370a4

44433633444 has 24 divisors (see below), whose sum is σ = 106480600128. Its totient is φ = 14410908000.

The previous prime is 44433633427. The next prime is 44433633451.

44433633444 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×444336334442 (a number of 22 digits) contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 44433633396 and 44433633405.

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, 50037432 + ... + 50038319.

It is an arithmetic number, because the mean of its divisors is an integer number (4436691672).

Almost surely, 244433633444 is an apocalyptic number.

It is an amenable number.

44433633444 is an abundant number, since it is smaller than the sum of its proper divisors (62046966684).

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

44433633444 is a wasteful number, since it uses less digits than its factorization.

44433633444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100075795 (or 100075793 counting only the distinct ones).

The product of its digits is 1990656, while the sum is 42.

The spelling of 44433633444 in words is "forty-four billion, four hundred thirty-three million, six hundred thirty-three thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 12 37 74 111 148 222 444 100075751 200151502 300227253 400303004 600454506 1200909012 3702802787 7405605574 11108408361 14811211148 22216816722 44433633444