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14232420312 = 23311179301177
BaseRepresentation
bin11010100000101000…
…10111111111011000
31100201212210212022020
431100110113333120
5213121444422222
610312134054440
71012456401525
oct152024277730
940655725266
1014232420312
116043915040
1229124aa420
13145a8079a6
149902d814c
1558474365c
hex350517fd8

14232420312 has 64 divisors (see below), whose sum is σ = 39032668800. Its totient is φ = 4288746240.

The previous prime is 14232420287. The next prime is 14232420313. The reversal of 14232420312 is 21302423241.

It is a happy number.

It is a super-3 number, since 3×142324203123 (a number of 31 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14232420313) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 103333 + ... + 197844.

It is an arithmetic number, because the mean of its divisors is an integer number (609885450).

Almost surely, 214232420312 is an apocalyptic number.

14232420312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

14232420312 is an abundant number, since it is smaller than the sum of its proper divisors (24800248488).

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

14232420312 is a wasteful number, since it uses less digits than its factorization.

14232420312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 301376 (or 301372 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 14232420312 its reverse (21302423241), we get a palindrome (35534843553).

The spelling of 14232420312 in words is "fourteen billion, two hundred thirty-two million, four hundred twenty thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 132 179 264 358 537 716 1074 1432 1969 2148 3938 4296 5907 7876 11814 15752 23628 47256 301177 602354 903531 1204708 1807062 2409416 3312947 3614124 6625894 7228248 9938841 13251788 19877682 26503576 39755364 53910683 79510728 107821366 161732049 215642732 323464098 431285464 593017513 646928196 1186035026 1293856392 1779052539 2372070052 3558105078 4744140104 7116210156 14232420312