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44277459365161 = 112157238532
BaseRepresentation
bin10100001000101001001100…
…01111001010110100101001
312210202212212021100211221101
422010110212033022310221
521300420214044141121
6234100441203241401
712216640501535611
oct1204244617126451
9183685767324841
1044277459365161
1113120a68556400
124b71327679261
131b9246735b239
14ad107d087a41
1551bb59564491
hex2845263cad29

44277459365161 has 27 divisors (see below), whose sum is σ = 48993293609253. Its totient is φ = 39985471674720.

The previous prime is 44277459365143. The next prime is 44277459365207. The reversal of 44277459365161 is 16156395477244.

The square root of 44277459365161 is 6654131.

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

It can be written as a sum of positive squares in 4 ways, for example, as 9275563627561 + 35001895737600 = 3045581^2 + 5916240^2 .

It is not a de Polignac number, because 44277459365161 - 25 = 44277459365129 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 44277459365093 and 44277459365102.

It is not an unprimeable number, because it can be changed into a prime (44277459363161) 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, 11491682311 + ... + 11491686163.

Almost surely, 244277459365161 is an apocalyptic number.

44277459365161 is the 6654131-st square number.

44277459365161 is the 3327066-th centered octagonal number.

It is an amenable number.

44277459365161 is a deficient number, since it is larger than the sum of its proper divisors (4715834244092).

44277459365161 is an frugal number, since it uses more digits than its factorization.

44277459365161 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8042 (or 4021 counting only the distinct ones).

The product of its digits is 152409600, while the sum is 64.

The spelling of 44277459365161 in words is "forty-four trillion, two hundred seventy-seven billion, four hundred fifty-nine million, three hundred sixty-five thousand, one hundred sixty-one".

Divisors: 1 11 121 157 1727 3853 18997 24649 42383 271139 466213 604921 2982529 6654131 14845609 73195441 94972597 163301699 1044698567 1796318689 2330760613 11491684237 25638366743 282022034173 365929416241 4025223578651 44277459365161