Search a number
-
+
44456457409 = 741323312
BaseRepresentation
bin101001011001110011…
…111011010011000001
311020202020200000210121
4221121303323103001
51212021323114114
632231212100241
73132446440000
oct513163732301
9136666600717
1044456457409
11179435694a1
128748464681
134266421c00
14221a3c0c37
151252d73a24
hexa59cfb4c1

44456457409 has 45 divisors (see below), whose sum is σ = 56329283619. Its totient is φ = 35068073040.

The previous prime is 44456457407. The next prime is 44456457413. The reversal of 44456457409 is 90475465444.

The square root of 44456457409 is 210847.

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., 6576399025 + 37880058384 = 81095^2 + 194628^2 .

It is not a de Polignac number, because 44456457409 - 21 = 44456457407 is a prime.

It is not an unprimeable number, because it can be changed into a prime (44456457407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 134309374 + ... + 134309704.

Almost surely, 244456457409 is an apocalyptic number.

44456457409 is a gapful number since it is divisible by the number (49) formed by its first and last digit.

44456457409 is the 210847-th square number.

44456457409 is the 105424-th centered octagonal number.

It is an amenable number.

44456457409 is a deficient number, since it is larger than the sum of its proper divisors (11872826210).

44456457409 is an frugal number, since it uses more digits than its factorization.

44456457409 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 716 (or 351 counting only the distinct ones).

The product of its (nonzero) digits is 9676800, while the sum is 52.

The spelling of 44456457409 in words is "forty-four billion, four hundred fifty-six million, four hundred fifty-seven thousand, four hundred nine".

Divisors: 1 7 13 49 91 169 331 343 637 1183 2317 2401 4303 4459 8281 16219 30121 31213 55939 57967 109561 113533 210847 391573 405769 766927 794731 1424293 1475929 2741011 5368489 9970051 10331503 18515809 19187077 37579423 69790357 129610663 134309539 263055961 488532499 907274641 3419727493 6350922487 44456457409