Search a number
-
+
41096614729 = 37254792
BaseRepresentation
bin100110010001100011…
…001001001101001001
310221002002112100002211
4212101203021031021
51133131213132404
630513551025121
72653261314202
oct462143111511
9127062470084
1041096614729
1116479a70a05
127b6b20b1a1
133b4c319411
141dbc0a85a9
151107deeb04
hex9918c9349

41096614729 has 9 divisors (see below), whose sum is σ = 42245063847. Its totient is φ = 39978597384.

The previous prime is 41096614717. The next prime is 41096614789. The reversal of 41096614729 is 92741669014.

The square root of 41096614729 is 202723.

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., 36773815225 + 4322799504 = 191765^2 + 65748^2 .

It is not a de Polignac number, because 41096614729 - 223 = 41088226121 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (41096614789) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 7498012 + ... + 7503490.

It is an arithmetic number, because the mean of its divisors is an integer number (4693895983).

Almost surely, 241096614729 is an apocalyptic number.

41096614729 is the 202723-rd square number.

41096614729 is the 101362-nd centered octagonal number.

It is an amenable number.

41096614729 is a deficient number, since it is larger than the sum of its proper divisors (1148449118).

41096614729 is an frugal number, since it uses more digits than its factorization.

41096614729 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11032 (or 5516 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 49.

Multiplying 41096614729 by its sum of digits (49), we get a square (2013734121721 = 14190612).

The spelling of 41096614729 in words is "forty-one billion, ninety-six million, six hundred fourteen thousand, seven hundred twenty-nine".

Divisors: 1 37 1369 5479 202723 7500751 30019441 1110719317 41096614729