Search a number
-
+
431401145 = 5724573853
BaseRepresentation
bin11001101101101…
…010100010111001
31010001202110010012
4121231222202321
51340414314040
6110450231305
713455564200
oct3155524271
91101673105
10431401145
1120157307a
12100585535
136b4b7266
144141a237
1527d17865
hex19b6a8b9

431401145 has 24 divisors (see below), whose sum is σ = 603675144. Its totient is φ = 295094016.

The previous prime is 431401123. The next prime is 431401169. The reversal of 431401145 is 541104134.

It can be written as a sum of positive squares in 4 ways, for example, as 252269689 + 179131456 = 15883^2 + 13384^2 .

It is not a de Polignac number, because 431401145 - 216 = 431335609 is a prime.

It is a super-2 number, since 2×4314011452 = 372213895814622050, which contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 431401145.

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, 110039 + ... + 113891.

It is an arithmetic number, because the mean of its divisors is an integer number (25153131).

Almost surely, 2431401145 is an apocalyptic number.

It is an amenable number.

431401145 is a deficient number, since it is larger than the sum of its proper divisors (172273999).

431401145 is a wasteful number, since it uses less digits than its factorization.

431401145 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4329 (or 4322 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 23.

The square root of 431401145 is about 20770.1984824411. The cubic root of 431401145 is about 755.6031582088.

Adding to 431401145 its reverse (541104134), we get a palindrome (972505279).

The spelling of 431401145 in words is "four hundred thirty-one million, four hundred one thousand, one hundred forty-five".

Divisors: 1 5 7 35 49 245 457 2285 3199 3853 15995 19265 22393 26971 111965 134855 188797 943985 1760821 8804105 12325747 61628735 86280229 431401145