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12242304414 = 233478235861
BaseRepresentation
bin10110110011011001…
…01011110110011110
31011121012001111112000
423121230223312132
5200033012220124
65342443023130
7612242604414
oct133154536636
934535044460
1012242304414
11521250955a
122457b0aaa6
131201411512
14841c932b4
154b9b846c9
hex2d9b2bd9e

12242304414 has 64 divisors (see below), whose sum is σ = 27822458880. Its totient is φ = 3988409760.

The previous prime is 12242304341. The next prime is 12242304419. The reversal of 12242304414 is 41440324221.

12242304414 is a `hidden beast` number, since 1 + 2 + 242 + 3 + 0 + 4 + 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 (12242304419) 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, 2085844 + ... + 2091704.

It is an arithmetic number, because the mean of its divisors is an integer number (434725920).

Almost surely, 212242304414 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12242304414, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13911229440).

12242304414 is an abundant number, since it is smaller than the sum of its proper divisors (15580154466).

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

12242304414 is a wasteful number, since it uses less digits than its factorization.

12242304414 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6742 (or 6736 counting only the distinct ones).

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

Adding to 12242304414 its reverse (41440324221), we get a palindrome (53682628635).

The spelling of 12242304414 in words is "twelve billion, two hundred forty-two million, three hundred four thousand, four hundred fourteen".

Divisors: 1 2 3 6 9 18 27 47 54 94 141 282 423 823 846 1269 1646 2469 2538 4938 5861 7407 11722 14814 17583 22221 35166 38681 44442 52749 77362 105498 116043 158247 232086 275467 316494 348129 550934 696258 826401 1044387 1652802 2088774 2479203 4823603 4958406 7437609 9647206 14470809 14875218 28941618 43412427 86824854 130237281 226709341 260474562 453418682 680128023 1360256046 2040384069 4080768138 6121152207 12242304414