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1142112411 = 3211173718341
BaseRepresentation
bin100010000010011…
…0100000010011011
32221121002022200200
41010010310002123
54314340044121
6305155233243
740205536536
oct10404640233
92847068620
101142112411
11536768a60
1227a5a8823
13152806b7b
14ab981a1d
156a403a26
hex4413409b

1142112411 has 48 divisors (see below), whose sum is σ = 1957164768. Its totient is φ = 633830400.

The previous prime is 1142112373. The next prime is 1142112431.

1142112411 is a `hidden beast` number, since 1 + 1 + 421 + 1 + 241 + 1 = 666.

1142112411 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 1142112411 - 29 = 1142111899 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1142112431) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 53101 + ... + 71441.

It is an arithmetic number, because the mean of its divisors is an integer number (40774266).

Almost surely, 21142112411 is an apocalyptic number.

1142112411 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1142112411 is a deficient number, since it is larger than the sum of its proper divisors (815052357).

1142112411 is a wasteful number, since it uses less digits than its factorization.

1142112411 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18412 (or 18409 counting only the distinct ones).

The product of its digits is 64, while the sum is 18.

The square root of 1142112411 is about 33795.1536614349. The cubic root of 1142112411 is about 1045.2887676742.

It can be divided in two parts, 11421 and 12411, that added together give a palindrome (23832).

The spelling of 1142112411 in words is "one billion, one hundred forty-two million, one hundred twelve thousand, four hundred eleven".

Divisors: 1 3 9 11 17 33 37 51 99 111 153 187 333 407 561 629 1221 1683 1887 3663 5661 6919 18341 20757 55023 62271 165069 201751 311797 605253 678617 935391 1815759 2035851 2806173 3429767 6107553 7464787 10289301 11536489 22394361 30867903 34609467 67183083 103828401 126901379 380704137 1142112411