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12142276104 = 23372329108359
BaseRepresentation
bin10110100111011110…
…00110111000001000
31011100012211112110210
423103233012320020
5144331410313404
65324511041120
7606616433610
oct132357067010
934305745423
1012142276104
115170aa8832
12242a5101a0
1311b678ab7a
14832895a40
154b0ec6689
hex2d3bc6e08

12142276104 has 128 divisors (see below), whose sum is σ = 37449216000. Its totient is φ = 3203929344.

The previous prime is 12142276103. The next prime is 12142276121. The reversal of 12142276104 is 40167224121.

12142276104 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (12142276103) 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, 57877 + ... + 166235.

It is an arithmetic number, because the mean of its divisors is an integer number (292572000).

Almost surely, 212142276104 is an apocalyptic number.

12142276104 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12142276104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18724608000).

12142276104 is an abundant number, since it is smaller than the sum of its proper divisors (25306939896).

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

12142276104 is a wasteful number, since it uses less digits than its factorization.

12142276104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108427 (or 108423 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 30.

The spelling of 12142276104 in words is "twelve billion, one hundred forty-two million, two hundred seventy-six thousand, one hundred four".

Divisors: 1 2 3 4 6 7 8 12 14 21 23 24 28 29 42 46 56 58 69 84 87 92 116 138 161 168 174 184 203 232 276 322 348 406 483 552 609 644 667 696 812 966 1218 1288 1334 1624 1932 2001 2436 2668 3864 4002 4669 4872 5336 8004 9338 14007 16008 18676 28014 37352 56028 108359 112056 216718 325077 433436 650154 758513 866872 1300308 1517026 2275539 2492257 2600616 3034052 3142411 4551078 4984514 6068104 6284822 7476771 9102156 9427233 9969028 12569644 14953542 17445799 18204312 18854466 19938056 21996877 25139288 29907084 34891598 37708932 43993754 52337397 59814168 65990631 69783196 72275453 75417864 87987508 104674794 131981262 139566392 144550906 175975016 209349588 216826359 263962524 289101812 418699176 433652718 505928171 527925048 578203624 867305436 1011856342 1517784513 1734610872 2023712684 3035569026 4047425368 6071138052 12142276104