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1024014422431 = 721121313285603
BaseRepresentation
bin11101110011011000000…
…01000001000110011111
310121220011022210111001001
432321230001001012133
5113234140143004211
62102231542531131
7133661013655300
oct16715401010637
93556138714031
101024014422431
11365311499a00
12146564436aa7
1375744574660
14377c39587a7
151b984b55ac1
hexee6c04119f

1024014422431 has 36 divisors (see below), whose sum is σ = 1410054294936. Its totient is φ = 736553774880.

The previous prime is 1024014422329. The next prime is 1024014422479. The reversal of 1024014422431 is 1342244104201.

It is not a de Polignac number, because 1024014422431 - 225 = 1023980867999 is a prime.

It is a super-2 number, since 2×10240144224312 (a number of 25 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1024014422431.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1024014426431) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 6565725 + ... + 6719878.

Almost surely, 21024014422431 is an apocalyptic number.

1024014422431 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1024014422431 is a deficient number, since it is larger than the sum of its proper divisors (386039872505).

1024014422431 is a wasteful number, since it uses less digits than its factorization.

1024014422431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13285652 (or 13285634 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 28.

Adding to 1024014422431 its reverse (1342244104201), we get a palindrome (2366258526632).

The spelling of 1024014422431 in words is "one trillion, twenty-four billion, fourteen million, four hundred twenty-two thousand, four hundred thirty-one".

Divisors: 1 7 11 13 49 77 91 121 143 539 637 847 1001 1573 5929 7007 11011 77077 13285603 92999221 146141633 172712839 650994547 1022991431 1208989873 1607557963 1899841229 7160940017 8462929111 11252905741 13298888603 20898253519 78770340187 93092220221 146287774633 1024014422431