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12344202414 = 2336119319417
BaseRepresentation
bin10110111111100010…
…11001010010101110
31011212021210110022000
423133301121102232
5200240103434124
65400523033130
7614620663215
oct133761312256
934767713260
1012344202414
115264a86a85
12248606b7a6
13121956abab
1485161a07c
154c3ab16c9
hex2dfc594ae

12344202414 has 64 divisors (see below), whose sum is σ = 28027164480. Its totient is φ = 4026101760.

The previous prime is 12344202413. The next prime is 12344202427. The reversal of 12344202414 is 41420244321.

12344202414 is a `hidden beast` number, since 1 + 2 + 3 + 44 + 202 + 414 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12344202413) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 626034 + ... + 645450.

It is an arithmetic number, because the mean of its divisors is an integer number (437924445).

Almost surely, 212344202414 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12344202414, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14013582240).

12344202414 is an abundant number, since it is smaller than the sum of its proper divisors (15682962066).

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

12344202414 is a wasteful number, since it uses less digits than its factorization.

12344202414 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19682 (or 19676 counting only the distinct ones).

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

Adding to 12344202414 its reverse (41420244321), we get a palindrome (53764446735).

The spelling of 12344202414 in words is "twelve billion, three hundred forty-four million, two hundred two thousand, four hundred fourteen".

Divisors: 1 2 3 6 9 18 27 54 61 122 183 193 366 386 549 579 1098 1158 1647 1737 3294 3474 5211 10422 11773 19417 23546 35319 38834 58251 70638 105957 116502 174753 211914 317871 349506 524259 635742 1048518 1184437 2368874 3553311 3747481 7106622 7494962 10659933 11242443 21319866 22484886 31979799 33727329 63959598 67454658 101181987 202363974 228596341 457192682 685789023 1371578046 2057367069 4114734138 6172101207 12344202414