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181414314 = 232292271531
BaseRepresentation
bin10101101000000…
…10100110101010
3110122100210122200
422310002212222
5332420224224
630000201030
74331665464
oct1264024652
9418323580
10181414314
1193449294
1250909176
132b77a863
141a145134
1510dd75c9
hexad029aa

181414314 has 48 divisors (see below), whose sum is σ = 408676320. Its totient is φ = 58091040.

The previous prime is 181414297. The next prime is 181414349. The reversal of 181414314 is 413414181.

181414314 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1814143142 = 65822306648181192, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 117729 + ... + 119259.

It is an arithmetic number, because the mean of its divisors is an integer number (8514090).

Almost surely, 2181414314 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 181414314, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204338160).

181414314 is an abundant number, since it is smaller than the sum of its proper divisors (227262006).

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

181414314 is a wasteful number, since it uses less digits than its factorization.

181414314 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1795 (or 1792 counting only the distinct ones).

The product of its digits is 1536, while the sum is 27.

The square root of 181414314 is about 13469.0131041587. The cubic root of 181414314 is about 566.0965614990.

Adding to 181414314 its reverse (413414181), we get a palindrome (594828495).

The spelling of 181414314 in words is "one hundred eighty-one million, four hundred fourteen thousand, three hundred fourteen".

Divisors: 1 2 3 6 9 18 29 58 87 174 227 261 454 522 681 1362 1531 2043 3062 4086 4593 6583 9186 13166 13779 19749 27558 39498 44399 59247 88798 118494 133197 266394 347537 399591 695074 799182 1042611 2085222 3127833 6255666 10078573 20157146 30235719 60471438 90707157 181414314