Search a number
-
+
402431241311 = 11431704149927
BaseRepresentation
bin1011101101100101100…
…01010110110001011111
31102110202010101020002022
411312302301112301133
523043134344210221
6504512510050355
741034423053051
oct5666261266137
91373663336068
10402431241311
11145740a42a40
1265bb14a99bb
132bc45244c78
14156990358d1
15a7050914ab
hex5db2c56c5f

402431241311 has 16 divisors (see below), whose sum is σ = 449260931328. Its totient is φ = 357310396800.

The previous prime is 402431241301. The next prime is 402431241319. The reversal of 402431241311 is 113142134204.

It is a cyclic number.

It is not a de Polignac number, because 402431241311 - 238 = 127553334367 is a prime.

It is a super-2 number, since 2×4024312413112 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (402431241319) 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, 8035430 + ... + 8085356.

It is an arithmetic number, because the mean of its divisors is an integer number (28078808208).

Almost surely, 2402431241311 is an apocalyptic number.

402431241311 is a deficient number, since it is larger than the sum of its proper divisors (46829690017).

402431241311 is a wasteful number, since it uses less digits than its factorization.

402431241311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67022.

The product of its (nonzero) digits is 2304, while the sum is 26.

Adding to 402431241311 its reverse (113142134204), we get a palindrome (515573375515).

The spelling of 402431241311 in words is "four hundred two billion, four hundred thirty-one million, two hundred forty-one thousand, three hundred eleven".

Divisors: 1 11 43 473 17041 49927 187451 549197 732763 2146861 8060393 23615471 850806007 9358866077 36584658301 402431241311