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51141412341131 = 761337569624601
BaseRepresentation
bin10111010000011010010011…
…01101110100010110001011
320201002001220221211221011212
423220031021231310112023
523200400103024404011
6300434012425043335
713525562605302110
oct1350151155642613
9221061827757155
1051141412341131
1115327a510159a2
12589b66b62654b
13226c7cb0605c8
14c8b386a84907
155da48b0c908b
hex2e8349b7458b

51141412341131 has 32 divisors (see below), whose sum is σ = 59686567374720. Its totient is φ = 42913317888000.

The previous prime is 51141412341053. The next prime is 51141412341133. The reversal of 51141412341131 is 13114321414115.

51141412341131 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 51141412341131 - 238 = 50866534434187 is a prime.

It is a super-2 number, since 2×511414123411312 (a number of 28 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (51141412341133) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 81566231 + ... + 82190831.

It is an arithmetic number, because the mean of its divisors is an integer number (1865205230460).

Almost surely, 251141412341131 is an apocalyptic number.

51141412341131 is a deficient number, since it is larger than the sum of its proper divisors (8545155033589).

51141412341131 is a wasteful number, since it uses less digits than its factorization.

51141412341131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 625575.

The product of its digits is 5760, while the sum is 32.

Adding to 51141412341131 its reverse (13114321414115), we get a palindrome (64255733755246).

The spelling of 51141412341131 in words is "fifty-one trillion, one hundred forty-one billion, four hundred twelve million, three hundred forty-one thousand, one hundred thirty-one".

Divisors: 1 7 61 337 427 569 2359 3983 20557 34709 143899 191753 242963 624601 1342271 4372207 11696933 38100661 81878531 210490537 266704627 355397969 1473433759 2487785783 12839922757 21679276109 89879459299 119769115553 151754932763 838383808871 7305916048733 51141412341131