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1410136541 = 11264118181
BaseRepresentation
bin101010000001100…
…1111100111011101
310122021102100200022
41110003033213131
510341443332131
6351532041525
746641651152
oct12403174735
93567370608
101410136541
11663a92500
123343032a5
131961ba528
14d53d0229
1583be837b
hex540cf9dd

1410136541 has 12 divisors (see below), whose sum is σ = 1552488252. Its totient is φ = 1279872000.

The previous prime is 1410136523. The next prime is 1410136543. The reversal of 1410136541 is 1456310141.

It can be written as a sum of positive squares in 2 ways, for example, as 1309716100 + 100420441 = 36190^2 + 10021^2 .

It is not a de Polignac number, because 1410136541 - 218 = 1409874397 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 1410136541.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1410136543) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 68471 + ... + 86651.

It is an arithmetic number, because the mean of its divisors is an integer number (129374021).

Almost surely, 21410136541 is an apocalyptic number.

1410136541 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1410136541 is a deficient number, since it is larger than the sum of its proper divisors (142351711).

1410136541 is a wasteful number, since it uses less digits than its factorization.

1410136541 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18844 (or 18833 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 26.

The square root of 1410136541 is about 37551.7847911388. The cubic root of 1410136541 is about 1121.3823654388.

Adding to 1410136541 its reverse (1456310141), we get a palindrome (2866446682).

The spelling of 1410136541 in words is "one billion, four hundred ten million, one hundred thirty-six thousand, five hundred forty-one".

Divisors: 1 11 121 641 7051 18181 77561 199991 2199901 11654021 128194231 1410136541