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41131303245 = 3254561200401
BaseRepresentation
bin100110010011100111…
…011110000101001101
310221011111210200210200
4212103213132011031
51133214103200440
630521230324113
72654162210664
oct462347360515
9127144720720
1041131303245
11164976039aa
127b7a959639
133b56573476
141dc2937ddb
15110aea2c30
hex9939de14d

41131303245 has 24 divisors (see below), whose sum is σ = 71310246072. Its totient is φ = 21931776000.

The previous prime is 41131303231. The next prime is 41131303249. The reversal of 41131303245 is 54230313114.

It is a happy number.

41131303245 is a `hidden beast` number, since 4 + 113 + 1 + 303 + 245 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1104498756 + 40026804489 = 33234^2 + 200067^2 .

It is not a de Polignac number, because 41131303245 - 26 = 41131303181 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41131303249) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 105045 + ... + 305445.

It is an arithmetic number, because the mean of its divisors is an integer number (2971260253).

Almost surely, 241131303245 is an apocalyptic number.

41131303245 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

41131303245 is a deficient number, since it is larger than the sum of its proper divisors (30178942827).

41131303245 is a wasteful number, since it uses less digits than its factorization.

41131303245 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 204973 (or 204970 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

Adding to 41131303245 its reverse (54230313114), we get a palindrome (95361616359).

The spelling of 41131303245 in words is "forty-one billion, one hundred thirty-one million, three hundred three thousand, two hundred forty-five".

Divisors: 1 3 5 9 15 45 4561 13683 22805 41049 68415 200401 205245 601203 1002005 1803609 3006015 9018045 914028961 2742086883 4570144805 8226260649 13710434415 41131303245