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1334434344331 = 112101389280699
BaseRepresentation
bin10011011010110010011…
…111000010110110001011
311201120102000122101110111
4103122302133002312023
5133330410143004311
62501010343055151
7165260345526664
oct23326237026613
94646360571414
101334434344331
11474a26442800
121967574414b7
1398ab5088a0a
14488308cc36b
1524aa1ebdd21
hex136b27c2d8b

1334434344331 has 24 divisors (see below), whose sum is σ = 1485110718000. Its totient is φ = 1198019064000.

The previous prime is 1334434344323. The next prime is 1334434344359.

1334434344331 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 1334434344331 - 23 = 1334434344323 is a prime.

It is a super-2 number, since 2×13344343443312 (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1334434344361) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4613620 + ... + 4894318.

It is an arithmetic number, because the mean of its divisors is an integer number (61879613250).

Almost surely, 21334434344331 is an apocalyptic number.

1334434344331 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1334434344331 is a deficient number, since it is larger than the sum of its proper divisors (150676373669).

1334434344331 is a wasteful number, since it uses less digits than its factorization.

1334434344331 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 281211 (or 281200 counting only the distinct ones).

The product of its digits is 746496, while the sum is 40.

The spelling of 1334434344331 in words is "one trillion, three hundred thirty-four billion, four hundred thirty-four million, three hundred forty-four thousand, three hundred thirty-one".

Divisors: 1 11 101 121 389 1111 4279 12221 39289 47069 280699 432179 3087689 4753969 28350599 33964579 109191911 311856589 1201111021 3430422479 11028383011 13212221231 121312213121 1334434344331