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12040313142 = 23111354125939
BaseRepresentation
bin10110011011010100…
…01001100100110110
31011002002222021120210
423031222021210312
5144124310010032
65310425410250
7604240654524
oct131552114466
934062867523
1012040313142
115119496520
122400339986
13119b60aa60
14823113314
154a70852cc
hex2cda89936

12040313142 has 64 divisors (see below), whose sum is σ = 28343911680. Its totient is φ = 3361564800.

The previous prime is 12040313111. The next prime is 12040313149. The reversal of 12040313142 is 24131304021.

12040313142 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12040313149) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 451209 + ... + 477147.

It is an arithmetic number, because the mean of its divisors is an integer number (442873620).

Almost surely, 212040313142 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12040313142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14171955840).

12040313142 is an abundant number, since it is smaller than the sum of its proper divisors (16303598538).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

12040313142 is a wasteful number, since it uses less digits than its factorization.

12040313142 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26509.

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 12040313142 its reverse (24131304021), we get a palindrome (36171617163).

The spelling of 12040313142 in words is "twelve billion, forty million, three hundred thirteen thousand, one hundred forty-two".

Divisors: 1 2 3 6 11 13 22 26 33 39 66 78 143 286 429 541 858 1082 1623 3246 5951 7033 11902 14066 17853 21099 25939 35706 42198 51878 77363 77817 154726 155634 232089 285329 337207 464178 570658 674414 855987 1011621 1711974 2023242 3709277 7418554 11127831 14032999 22255662 28065998 42098997 84197994 154362989 182428987 308725978 364857974 463088967 547286961 926177934 1094573922 2006718857 4013437714 6020156571 12040313142