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514144524132 = 223214281792337
BaseRepresentation
bin1110111101101010110…
…01101101011101100100
31211011002121121222122200
413132311121231131210
531410431444233012
61032110021254500
752100660230131
oct7366531553544
91734077558580
10514144524132
111890581a8868
1283789b64430
133963968c295
141ac5599b588
15d5927b33dc
hex77b566d764

514144524132 has 18 divisors (see below), whose sum is σ = 1299643102758. Its totient is φ = 171381508032.

The previous prime is 514144524121. The next prime is 514144524139. The reversal of 514144524132 is 231425441415.

514144524132 is a `hidden beast` number, since 5 + 141 + 445 + 2 + 41 + 32 = 666.

It can be written as a sum of positive squares in only one way, i.e., 263840431716 + 250304092416 = 513654^2 + 500304^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 14281792337 = 514144524132 / (5 + 1 + 4 + 1 + 4 + 4 + 5 + 2 + 4 + 1 + 3 + 2).

It is not an unprimeable number, because it can be changed into a prime (514144524139) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 7140896133 + ... + 7140896204.

Almost surely, 2514144524132 is an apocalyptic number.

It is an amenable number.

514144524132 is an abundant number, since it is smaller than the sum of its proper divisors (785498578626).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

514144524132 is a wasteful number, since it uses less digits than its factorization.

514144524132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14281792347 (or 14281792342 counting only the distinct ones).

The product of its digits is 76800, while the sum is 36.

Adding to 514144524132 its reverse (231425441415), we get a palindrome (745569965547).

The spelling of 514144524132 in words is "five hundred fourteen billion, one hundred forty-four million, five hundred twenty-four thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 36 14281792337 28563584674 42845377011 57127169348 85690754022 128536131033 171381508044 257072262066 514144524132