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44260165161 = 3223230492
BaseRepresentation
bin101001001110000111…
…001000011000101001
311020020120022100110100
4221032013020120221
51211121100241121
632155520540013
73124544124252
oct511607103051
9136216270410
1044260165161
11178527891a3
1286b2781609
134234865454
1421dc2c5b29
1512409ed026
hexa4e1c8629

44260165161 has 27 divisors (see below), whose sum is σ = 66853753239. Its totient is φ = 28214616672.

The previous prime is 44260165129. The next prime is 44260165177. The reversal of 44260165161 is 16156106244.

The square root of 44260165161 is 210381.

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

44260165161 is a `hidden beast` number, since 4 + 42 + 601 + 6 + 5 + 1 + 6 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 4770526761 + 39489638400 = 69069^2 + 198720^2 .

It is not a de Polignac number, because 44260165161 - 25 = 44260165129 is a prime.

It is not an unprimeable number, because it can be changed into a prime (44260175161) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 14514765 + ... + 14517813.

Almost surely, 244260165161 is an apocalyptic number.

44260165161 is the 210381-st square number.

44260165161 is the 105191-st centered octagonal number.

It is an amenable number.

44260165161 is a deficient number, since it is larger than the sum of its proper divisors (22593588078).

44260165161 is an frugal number, since it uses more digits than its factorization.

44260165161 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6150 (or 3075 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

Multiplying 44260165161 by its sum of digits (36), we get a square (1593365945796 = 12622862).

The spelling of 44260165161 in words is "forty-four billion, two hundred sixty million, one hundred sixty-five thousand, one hundred sixty-one".

Divisors: 1 3 9 23 69 207 529 1587 3049 4761 9147 27441 70127 210381 631143 1612921 4838763 9296401 14516289 27889203 83667609 213817223 641451669 1924355007 4917796129 14753388387 44260165161