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44213893441 = 37256832
BaseRepresentation
bin101001001011010110…
…100111100101000001
311020010100020111120221
4221023112213211001
51211022224042231
632151145103041
73123442615264
oct511326474501
9136110214527
1044213893441
1117829654603
12869b187a81
1342280b4033
1421d60bccdb
15123b90cd11
hexa4b5a7941

44213893441 has 9 divisors (see below), whose sum is σ = 45449157411. Its totient is φ = 43011353592.

The previous prime is 44213893417. The next prime is 44213893453. The reversal of 44213893441 is 14439831244.

The square root of 44213893441 is 210271.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 39563199025 + 4650694416 = 198905^2 + 68196^2 .

It is not a de Polignac number, because 44213893441 - 29 = 44213892929 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (44213893541) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 7777186 + ... + 7782868.

It is an arithmetic number, because the mean of its divisors is an integer number (5049906379).

Almost surely, 244213893441 is an apocalyptic number.

44213893441 is the 210271-st square number.

44213893441 is the 105136-th centered octagonal number.

It is an amenable number.

44213893441 is a deficient number, since it is larger than the sum of its proper divisors (1235263970).

44213893441 is an frugal number, since it uses more digits than its factorization.

44213893441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11440 (or 5720 counting only the distinct ones).

The product of its digits is 331776, while the sum is 43.

The spelling of 44213893441 in words is "forty-four billion, two hundred thirteen million, eight hundred ninety-three thousand, four hundred forty-one".

Divisors: 1 37 1369 5683 210271 7780027 32296489 1194970093 44213893441