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44133186241 = 42124992
BaseRepresentation
bin101001000110100010…
…101111101011000001
311012220201101011010101
4221012202233223001
51210341043424431
632135143202401
73121442615314
oct510642575301
9135821334111
1044133186241
1117798040041
128678146401
134214466ab1
1421c94b097b
1512347b9961
hexa468afac1

44133186241 has 9 divisors (see below), whose sum is σ = 44327096163. Its totient is φ = 43940123640.

The previous prime is 44133186217. The next prime is 44133186247. The reversal of 44133186241 is 14268133144.

The square root of 44133186241 is 210079.

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., 209409841 + 43923776400 = 14471^2 + 209580^2 .

It is not a de Polignac number, because 44133186241 - 27 = 44133186113 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 44133186241.

It is not an unprimeable number, because it can be changed into a prime (44133186247) 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, 88443010 + ... + 88443508.

It is an arithmetic number, because the mean of its divisors is an integer number (4925232907).

Almost surely, 244133186241 is an apocalyptic number.

44133186241 is the 210079-th square number.

44133186241 is the 105040-th centered octagonal number.

It is an amenable number.

44133186241 is a deficient number, since it is larger than the sum of its proper divisors (193909922).

44133186241 is an frugal number, since it uses more digits than its factorization.

44133186241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1840 (or 920 counting only the distinct ones).

The product of its digits is 55296, while the sum is 37.

The spelling of 44133186241 in words is "forty-four billion, one hundred thirty-three million, one hundred eighty-six thousand, two hundred forty-one".

Divisors: 1 421 499 177241 210079 249001 88443259 104829421 44133186241