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44432623444 = 221121716013373
BaseRepresentation
bin101001011000011001…
…000000011101010100
311020200120211010202011
4221120121000131110
51211444222422234
632225001154004
73132040032136
oct513031003524
9136616733664
1044432623444
111793106a700
12874048b904
1342614c8681
142217179056
151250c16b64
hexa58640754

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".

Divisors: 1 2 4 11 17 22 34 44 68 121 187 242 374 484 748 1601 2057 3202 3373 4114 6404 6746 8228 13492 17611 27217 35222 37103 54434 57341 70444 74206 108868 114682 148412 193721 229364 299387 387442 408133 598774 630751 774884 816266 1197548 1261502 1632532 2523004 3293257 5400173 6586514 6938261 10800346 13173028 13876522 21600692 27753044 59401903 91802941 118803806 183605882 237607612 367211764 653420933 1009832351 1306841866 2019664702 2613683732 4039329404 11108155861 22216311722 44432623444