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45641141311 = 2931478291303
BaseRepresentation
bin101010100000011011…
…001000110000111111
311100210210212012121011
4222200123020300333
51221433113010221
632544532020051
73204013204633
oct524033106077
9140723765534
1045641141311
11183a1263aa7
128a19161627
1343c49b2bbc
1422cd884dc3
1512c1d861e1
hexaa06c8c3f

45641141311 has 32 divisors (see below), whose sum is σ = 49873305600. Its totient is φ = 41656083840.

The previous prime is 45641141309. The next prime is 45641141333. The reversal of 45641141311 is 11314114654.

It is not a de Polignac number, because 45641141311 - 21 = 45641141309 is a prime.

It is a super-2 number, since 2×456411413112 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45641141011) 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 31 ways as a sum of consecutive naturals, for example, 35027086 + ... + 35028388.

It is an arithmetic number, because the mean of its divisors is an integer number (1558540800).

Almost surely, 245641141311 is an apocalyptic number.

45641141311 is a deficient number, since it is larger than the sum of its proper divisors (4232164289).

45641141311 is a wasteful number, since it uses less digits than its factorization.

45641141311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2239.

The product of its digits is 5760, while the sum is 31.

Adding to 45641141311 its reverse (11314114654), we get a palindrome (56955255965).

The spelling of 45641141311 in words is "forty-five billion, six hundred forty-one million, one hundred forty-one thousand, three hundred eleven".

Divisors: 1 29 31 47 829 899 1303 1363 1457 24041 25699 37787 38963 40393 42253 61241 745271 1080187 1129927 1171397 1207853 1775989 1898471 31325423 33485797 35027737 50768789 55055659 971088113 1472294881 1573832459 45641141311