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12442133431 = 713167818723
BaseRepresentation
bin10111001011001101…
…11110001110110111
31012010010001212101201
423211212332032313
5200440141232211
65414342033331
7620220250330
oct134546761667
935103055351
1012442133431
115305295002
1224b2a18847
131233938a40
1486062d287
154cc4a80c1
hex2e59be3b7

12442133431 has 16 divisors (see below), whose sum is σ = 15405110784. Its totient is φ = 9785365344.

The previous prime is 12442133423. The next prime is 12442133497. The reversal of 12442133431 is 13433124421.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 12442133431 - 23 = 12442133423 is a prime.

It is a super-4 number, since 4×124421334314 (a number of 41 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 12442133431.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12442133731) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 394165 + ... + 424558.

It is an arithmetic number, because the mean of its divisors is an integer number (962819424).

Almost surely, 212442133431 is an apocalyptic number.

12442133431 is a deficient number, since it is larger than the sum of its proper divisors (2962977353).

12442133431 is a wasteful number, since it uses less digits than its factorization.

12442133431 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 818910.

The product of its digits is 6912, while the sum is 28.

Adding to 12442133431 its reverse (13433124421), we get a palindrome (25875257852).

The spelling of 12442133431 in words is "twelve billion, four hundred forty-two million, one hundred thirty-three thousand, four hundred thirty-one".

Divisors: 1 7 13 91 167 1169 2171 15197 818723 5731061 10643399 74503793 136726741 957087187 1777447633 12442133431