Search a number
-
+
731144005140431 = 31233191352913969
BaseRepresentation
bin1010011000111110001011101…
…0101101001011111111001111
310112212202200110211101222111202
42212033202322231023333033
51231313030410303443211
611111002530302540115
7310001261015303351
oct24617427255137717
93485680424358452
10731144005140431
111a1a68482020513
126a004733b9763b
13254c77789209bc
14cc797b6d930d1
15597db0063c53b
hex298f8bab4bfcf

731144005140431 has 16 divisors (see below), whose sum is σ = 758364711287040. Its totient is φ = 704153687439360.

The previous prime is 731144005140427. The next prime is 731144005140433. The reversal of 731144005140431 is 134041500441137.

It is a cyclic number.

It is not a de Polignac number, because 731144005140431 - 22 = 731144005140427 is a prime.

It is a super-2 number, since 2×7311440051404312 (a number of 31 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (731144005140433) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12639386 + ... + 40274583.

It is an arithmetic number, because the mean of its divisors is an integer number (47397794455440).

Almost surely, 2731144005140431 is an apocalyptic number.

731144005140431 is a deficient number, since it is larger than the sum of its proper divisors (27220706146609).

731144005140431 is a wasteful number, since it uses less digits than its factorization.

731144005140431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52916146.

The product of its (nonzero) digits is 80640, while the sum is 38.

Adding to 731144005140431 its reverse (134041500441137), we get a palindrome (865185505581568).

The spelling of 731144005140431 in words is "seven hundred thirty-one trillion, one hundred forty-four billion, five million, one hundred forty thousand, four hundred thirty-one".

Divisors: 1 31 233 1913 7223 59303 445729 13817599 52913969 1640333039 12328954777 101224422697 382197598087 3137957103607 23585290488401 731144005140431