Search a number
-
+
504134431405 = 51158991155381
BaseRepresentation
bin1110101011000001100…
…00001111001010101101
31210012020222212120220121
413111200300033022231
531224431403301110
61023332434244541
751264630651253
oct7254060171255
91705228776817
10504134431405
1118489081aa60
1281855726751
1338702879ca7
141a58636c5d3
15d1a8aaecda
hex7560c0f2ad

504134431405 has 16 divisors (see below), whose sum is σ = 659973235968. Its totient is φ = 366634648000.

The previous prime is 504134431373. The next prime is 504134431483.

504134431405 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 504134431405 - 25 = 504134431373 is a prime.

It is a Duffinian number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3166815 + ... + 3322195.

It is an arithmetic number, because the mean of its divisors is an integer number (41248327248).

Almost surely, 2504134431405 is an apocalyptic number.

504134431405 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

504134431405 is a deficient number, since it is larger than the sum of its proper divisors (155838804563).

504134431405 is a wasteful number, since it uses less digits than its factorization.

504134431405 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 214388.

The product of its (nonzero) digits is 57600, while the sum is 34.

It can be divided in two parts, 504134 and 431405, that added together give a palindrome (935539).

The spelling of 504134431405 in words is "five hundred four billion, one hundred thirty-four million, four hundred thirty-one thousand, four hundred five".

Divisors: 1 5 11 55 58991 155381 294955 648901 776905 1709191 3244505 8545955 9166080571 45830402855 100826886281 504134431405