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12441114 = 23672353
BaseRepresentation
bin101111011101…
…011000011010
3212102002000000
4233131120122
511141103424
61122353430
7210514320
oct57353032
925362000
1012441114
117028214
1241bb876
132767a0a
14191bd10
15115b3c9
hexbdd61a

12441114 has 112 divisors (see below), whose sum is σ = 33996672. Its totient is φ = 3335904.

The previous prime is 12441103. The next prime is 12441131. The reversal of 12441114 is 41114421.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 234712 + ... + 234764.

Almost surely, 212441114 is an apocalyptic number.

12441114 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12441114, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16998336).

12441114 is an abundant number, since it is smaller than the sum of its proper divisors (21555558).

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

12441114 is an equidigital number, since it uses as much as digits as its factorization.

12441114 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103 (or 88 counting only the distinct ones).

The product of its digits is 128, while the sum is 18.

The square root of 12441114 is about 3527.1963370360. The cubic root of 12441114 is about 231.7144351117.

Adding to 12441114 its reverse (41114421), we get a palindrome (53555535).

The spelling of 12441114 in words is "twelve million, four hundred forty-one thousand, one hundred fourteen".

Divisors: 1 2 3 6 7 9 14 18 21 23 27 42 46 53 54 63 69 81 106 126 138 159 161 162 189 207 243 318 322 371 378 414 477 483 486 567 621 729 742 954 966 1113 1134 1219 1242 1431 1449 1458 1701 1863 2226 2438 2862 2898 3339 3402 3657 3726 4293 4347 5103 5589 6678 7314 8533 8586 8694 10017 10206 10971 11178 12879 13041 16767 17066 20034 21942 25599 25758 26082 30051 32913 33534 38637 39123 51198 60102 65826 76797 77274 78246 90153 98739 117369 153594 180306 197478 230391 234738 270459 296217 460782 540918 592434 691173 888651 1382346 1777302 2073519 4147038 6220557 12441114