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12141234444 = 22331149921773
BaseRepresentation
bin10110100111010110…
…01000100100001100
31011100010212121120210
423103223020210030
5144331124000234
65324432442420
7606604534653
oct132353104414
934303777523
1012141234444
115170457159
12242a0a9410
1311b64b49c1
148326a419a
154b0d6cbe9
hex2d3ac890c

12141234444 has 48 divisors (see below), whose sum is σ = 29264256000. Its totient is φ = 3913734720.

The previous prime is 12141234431. The next prime is 12141234451. The reversal of 12141234444 is 44443214121.

It is a happy number.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 546742 + ... + 568514.

It is an arithmetic number, because the mean of its divisors is an integer number (609672000).

Almost surely, 212141234444 is an apocalyptic number.

It is an amenable number.

12141234444 is an abundant number, since it is smaller than the sum of its proper divisors (17123021556).

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

12141234444 is a wasteful number, since it uses less digits than its factorization.

12141234444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23310 (or 23308 counting only the distinct ones).

The product of its digits is 12288, while the sum is 30.

Adding to 12141234444 its reverse (44443214121), we get a palindrome (56584448565).

The spelling of 12141234444 in words is "twelve billion, one hundred forty-one million, two hundred thirty-four thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 12 31 62 93 124 186 372 1499 2998 4497 5996 8994 17988 21773 43546 46469 65319 87092 92938 130638 139407 185876 261276 278814 557628 674963 1349926 2024889 2699852 4049778 8099556 32637727 65275454 97913181 130550908 195826362 391652724 1011769537 2023539074 3035308611 4047078148 6070617222 12141234444