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12432402414 = 2325718811373
BaseRepresentation
bin10111001010000011…
…10110011111101110
31012002102202110221200
423211001312133232
5200430143334124
65413353310330
7620041451115
oct134501663756
935072673850
1012432402414
1152aa848a43
1224ab7053a6
13123190c743
1485d218c7c
154cb6d4bc9
hex2e50767ee

12432402414 has 48 divisors (see below), whose sum is σ = 27034351344. Its totient is φ = 4129171200.

The previous prime is 12432402401. The next prime is 12432402419. The reversal of 12432402414 is 41420423421.

12432402414 is a `hidden beast` number, since 1 + 2 + 4 + 3 + 240 + 2 + 414 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12432402419) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9054232 + ... + 9055604.

It is an arithmetic number, because the mean of its divisors is an integer number (563215653).

Almost surely, 212432402414 is an apocalyptic number.

12432402414 is an abundant number, since it is smaller than the sum of its proper divisors (14601948930).

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

12432402414 is a wasteful number, since it uses less digits than its factorization.

12432402414 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2833 (or 2830 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 12432402414 its reverse (41420423421), we get a palindrome (53852825835).

The spelling of 12432402414 in words is "twelve billion, four hundred thirty-two million, four hundred two thousand, four hundred fourteen".

Divisors: 1 2 3 6 9 18 571 881 1142 1373 1713 1762 2643 2746 3426 4119 5139 5286 7929 8238 10278 12357 15858 24714 503051 783983 1006102 1209613 1509153 1567966 2351949 2419226 3018306 3628839 4527459 4703898 7055847 7257678 9054918 10886517 14111694 21773034 690689023 1381378046 2072067069 4144134138 6216201207 12432402414