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514460811141 = 32103357553057
BaseRepresentation
bin1110111110010000100…
…00001111111110000101
31211011220122210000212100
413133020100033332011
531412103431424031
61032201240342313
752111550512524
oct7371020177605
91734818700770
10514460811141
111891aa796992
1283857a74999
133968a070464
141ac859b04bb
15d5b043cde6
hex77c840ff85

514460811141 has 12 divisors (see below), whose sum is σ = 743118593932. Its totient is φ = 342969935616.

The previous prime is 514460811131. The next prime is 514460811199. The reversal of 514460811141 is 141118064415.

514460811141 is a `hidden beast` number, since 5 + 1 + 4 + 4 + 608 + 1 + 1 + 1 + 41 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 400518108225 + 113942702916 = 632865^2 + 337554^2 .

It is not a de Polignac number, because 514460811141 - 26 = 514460811077 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 514460811096 and 514460811105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (514460811131) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 653685 + ... + 1206741.

Almost surely, 2514460811141 is an apocalyptic number.

It is an amenable number.

514460811141 is a deficient number, since it is larger than the sum of its proper divisors (228657782791).

514460811141 is a wasteful number, since it uses less digits than its factorization.

514460811141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 656420 (or 656417 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 36.

Adding to 514460811141 its reverse (141118064415), we get a palindrome (655578875556).

The spelling of 514460811141 in words is "five hundred fourteen billion, four hundred sixty million, eight hundred eleven thousand, one hundred forty-one".

Divisors: 1 3 9 103357 310071 553057 930213 1659171 4977513 57162312349 171486937047 514460811141