Search a number
-
+
404552331131 = 13179449387197
BaseRepresentation
bin1011110001100010011…
…00101010111101111011
31102200012221120202022112
411320301030222331323
523112010344044011
6505503200242535
741141120035304
oct5706114527573
91380187522275
10404552331131
1114662a276133
12664a391044b
132c1c28082c0
141581aa117ab
15a7cb3c258b
hex5e3132af7b

404552331131 has 16 divisors (see below), whose sum is σ = 439082532000. Its totient is φ = 370518693888.

The previous prime is 404552331097. The next prime is 404552331149. The reversal of 404552331131 is 131133255404.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-404552331131 is a prime.

It is a super-2 number, since 2×4045523311312 (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (404542331131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 851225 + ... + 1238421.

It is an arithmetic number, because the mean of its divisors is an integer number (27442658250).

Almost surely, 2404552331131 is an apocalyptic number.

404552331131 is a deficient number, since it is larger than the sum of its proper divisors (34530200869).

404552331131 is a wasteful number, since it uses less digits than its factorization.

404552331131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 387838.

The product of its (nonzero) digits is 21600, while the sum is 32.

Adding to 404552331131 its reverse (131133255404), we get a palindrome (535685586535).

The spelling of 404552331131 in words is "four hundred four billion, five hundred fifty-two million, three hundred thirty-one thousand, one hundred thirty-one".

Divisors: 1 13 179 449 2327 5837 80371 387197 1044823 5033561 69308263 173851453 901007419 2260068889 31119410087 404552331131