Search a number
-
+
442624330331431 = 12891456323579333
BaseRepresentation
bin110010010100100001000000…
…1111110100111010100100111
32011001012110202121200221010221
41210221002001332213110213
5431003424112031101211
64205214451002025211
7162142360346531143
oct14451020176472447
92131173677627127
10442624330331431
11119040a19309176
12417876887a8207
1315cc93ab890ca1
147b431bbcc0223
153628a1bb87c71
hex1929081fa7527

442624330331431 has 8 divisors (see below), whose sum is σ = 442998152285040. Its totient is φ = 442250555568192.

The previous prime is 442624330331383. The next prime is 442624330331459. The reversal of 442624330331431 is 134133033426244.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 442624330331431 - 215 = 442624330298663 is a prime.

It is a super-2 number, since 2×4426243303314312 (a number of 30 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (442624330335431) 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 7 ways as a sum of consecutive naturals, for example, 6982041 + ... + 30561373.

It is an arithmetic number, because the mean of its divisors is an integer number (55374769035630).

Almost surely, 2442624330331431 is an apocalyptic number.

442624330331431 is a deficient number, since it is larger than the sum of its proper divisors (373821953609).

442624330331431 is a wasteful number, since it uses less digits than its factorization.

442624330331431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23595185.

The product of its (nonzero) digits is 1492992, while the sum is 43.

Adding to 442624330331431 its reverse (134133033426244), we get a palindrome (576757363757675).

The spelling of 442624330331431 in words is "four hundred forty-two trillion, six hundred twenty-four billion, three hundred thirty million, three hundred thirty-one thousand, four hundred thirty-one".

Divisors: 1 1289 14563 18771707 23579333 30393760237 343385826479 442624330331431