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514144441415 = 51121495703527
BaseRepresentation
bin1110111101101010110…
…01011001010001000111
31211011002121110210012002
413132311121121101013
531410431434111130
61032110015415515
752100656434023
oct7366531312107
91734077423162
10514144441415
11189058151700
1283789b2459b
1339639660737
141ac55979383
15d592798b45
hex77b5659447

514144441415 has 24 divisors (see below), whose sum is σ = 682712301600. Its totient is φ = 371413613120.

The previous prime is 514144441379. The next prime is 514144441439.

514144441415 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 514144441415 - 220 = 514143392839 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2761619 + ... + 2941908.

It is an arithmetic number, because the mean of its divisors is an integer number (28446345900).

Almost surely, 2514144441415 is an apocalyptic number.

514144441415 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

514144441415 is a deficient number, since it is larger than the sum of its proper divisors (168567860185).

514144441415 is a wasteful number, since it uses less digits than its factorization.

514144441415 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5703703 (or 5703692 counting only the distinct ones).

The product of its digits is 102400, while the sum is 38.

It can be divided in two parts, 514144 and 441415, that added together give a palindrome (955559).

The spelling of 514144441415 in words is "five hundred fourteen billion, one hundred forty-four million, four hundred forty-one thousand, four hundred fifteen".

Divisors: 1 5 11 55 121 149 605 745 1639 8195 18029 90145 5703527 28517635 62738797 313693985 690126767 849825523 3450633835 4249127615 9348080753 46740403765 102828888283 514144441415