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41131326160 = 2451927060083
BaseRepresentation
bin100110010011100111…
…100011101011010000
310221011111211212020101
4212103213203223100
51133214104414120
630521231022144
72654162334541
oct462347435320
9127144755211
1041131326160
111649761a141
127b7a96a954
133b56580a22
141dc29424c8
15110aea990a
hex9939e3ad0

41131326160 has 40 divisors (see below), whose sum is σ = 100663512480. Its totient is φ = 15586607232.

The previous prime is 41131326149. The next prime is 41131326169. The reversal of 41131326160 is 6162313114.

41131326160 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41131326169) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13528522 + ... + 13531561.

It is an arithmetic number, because the mean of its divisors is an integer number (2516587812).

Almost surely, 241131326160 is an apocalyptic number.

41131326160 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

41131326160 is an abundant number, since it is smaller than the sum of its proper divisors (59532186320).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

41131326160 is a wasteful number, since it uses less digits than its factorization.

41131326160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27060115 (or 27060109 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 28.

Adding to 41131326160 its reverse (6162313114), we get a palindrome (47293639274).

The spelling of 41131326160 in words is "forty-one billion, one hundred thirty-one million, three hundred twenty-six thousand, one hundred sixty".

Divisors: 1 2 4 5 8 10 16 19 20 38 40 76 80 95 152 190 304 380 760 1520 27060083 54120166 108240332 135300415 216480664 270600830 432961328 514141577 541201660 1028283154 1082403320 2056566308 2164806640 2570707885 4113132616 5141415770 8226265232 10282831540 20565663080 41131326160