Search a number
-
+
4205205431 = 72247334703
BaseRepresentation
bin1111101010100110…
…0101011110110111
3101212001211120101022
43322221211132313
532103013033211
61533140051355
7206131441100
oct37251453667
911761746338
104205205431
111868802099
12994393b5b
135202ac14b
142bc6cd3a7
151992abbdb
hexfaa657b7

4205205431 has 12 divisors (see below), whose sum is σ = 4893888672. Its totient is φ = 3602900448.

The previous prime is 4205205413. The next prime is 4205205439. The reversal of 4205205431 is 1345025024.

It is a happy number.

It is not a de Polignac number, because 4205205431 - 218 = 4204943287 is a prime.

It is a super-2 number, since 2×42052054312 = 35367505433823791522, 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 4205205431.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4205205439) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 103826 + ... + 138528.

It is an arithmetic number, because the mean of its divisors is an integer number (407824056).

Almost surely, 24205205431 is an apocalyptic number.

4205205431 is a deficient number, since it is larger than the sum of its proper divisors (688683241).

4205205431 is a wasteful number, since it uses less digits than its factorization.

4205205431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37190 (or 37183 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 26.

The square root of 4205205431 is about 64847.5553201507. Note that the first 3 decimals coincide. The cubic root of 4205205431 is about 1614.0949257207.

The spelling of 4205205431 in words is "four billion, two hundred five million, two hundred five thousand, four hundred thirty-one".

Divisors: 1 7 49 2473 17311 34703 121177 242921 1700447 85820519 600743633 4205205431