Search a number
-
+
431401120505 = 51091814373269
BaseRepresentation
bin1100100011100011000…
…00101011001011111001
31112020112002022120100222
412101301200223023321
524032002141324010
6530103303105425
743111344010205
oct6216140531371
91466462276328
10431401120505
11156a5775aa63
126b737442275
13318b1084c14
1416c46731b05
15b34d539355
hex647182b2f9

431401120505 has 16 divisors (see below), whose sum is σ = 525317192400. Its totient is φ = 340065319680.

The previous prime is 431401120481. The next prime is 431401120529. The reversal of 431401120505 is 505021104134.

It is an interprime number because it is at equal distance from previous prime (431401120481) and next prime (431401120529).

It can be written as a sum of positive squares in 8 ways, for example, as 61957183744 + 369443936761 = 248912^2 + 607819^2 .

It is not a de Polignac number, because 431401120505 - 26 = 431401120441 is a prime.

It is a super-2 number, since 2×4314011205052 (a number of 24 digits) contains 22 as substring.

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, 2087990 + ... + 2285279.

It is an arithmetic number, because the mean of its divisors is an integer number (32832324525).

Almost surely, 2431401120505 is an apocalyptic number.

It is an amenable number.

431401120505 is a deficient number, since it is larger than the sum of its proper divisors (93916071895).

431401120505 is a wasteful number, since it uses less digits than its factorization.

431401120505 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4373564.

The product of its (nonzero) digits is 2400, while the sum is 26.

Adding to 431401120505 its reverse (505021104134), we get a palindrome (936422224639).

The spelling of 431401120505 in words is "four hundred thirty-one billion, four hundred one million, one hundred twenty thousand, five hundred five".

Divisors: 1 5 109 181 545 905 19729 98645 4373269 21866345 476686321 791561689 2383431605 3957808445 86280224101 431401120505