Base | Representation |
---|---|
bin | 101001011000011001… |
… | …000000011101010100 |
3 | 11020200120211010202011 |
4 | 221120121000131110 |
5 | 1211444222422234 |
6 | 32225001154004 |
7 | 3132040032136 |
oct | 513031003524 |
9 | 136616733664 |
10 | 44432623444 |
11 | 1793106a700 |
12 | 874048b904 |
13 | 42614c8681 |
14 | 2217179056 |
15 | 1250c16b64 |
hex | a58640754 |
44432623444 has 72 divisors (see below), whose sum is σ = 90579470184. Its totient is φ = 18991104000.
The previous prime is 44432623429. The next prime is 44432623483.
44432623444 is nontrivially palindromic in base 10.
It can be written as a sum of positive squares in 4 ways, for example, as 39992000400 + 4440623044 = 199980^2 + 66638^2 .
It is a super-2 number, since 2×444326234442 (a number of 22 digits) contains 22 as substring.
It is a Smith number, since the sum of its digits (40) coincides with the sum of the digits of its prime factors.
It is a junction number, because it is equal to n+sod(n) for n = 44432623397 and 44432623406.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13171342 + ... + 13174714.
It is an arithmetic number, because the mean of its divisors is an integer number (1258048197).
Almost surely, 244432623444 is an apocalyptic number.
44432623444 is a gapful number since it is divisible by the number (44) formed by its first and last digit.
It is an amenable number.
44432623444 is an abundant number, since it is smaller than the sum of its proper divisors (46146846740).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
44432623444 is a wasteful number, since it uses less digits than its factorization.
44432623444 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 5017 (or 5004 counting only the distinct ones).
The product of its digits is 884736, while the sum is 40.
The spelling of 44432623444 in words is "forty-four billion, four hundred thirty-two million, six hundred twenty-three thousand, four hundred forty-four".
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