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114542241 = 31119317183
BaseRepresentation
bin1101101001111…
…00011010100001
321222112100102020
412310330122201
5213310322431
615211012053
72560410252
oct664743241
9258470366
10114542241
1159724310
123243a029
131a965998
14112d8b29
15a0c8696
hex6d3c6a1

114542241 has 64 divisors (see below), whose sum is σ = 185794560. Its totient is φ = 61992000.

The previous prime is 114542237. The next prime is 114542251. The reversal of 114542241 is 142245411.

It is not a de Polignac number, because 114542241 - 22 = 114542237 is a prime.

It is not an unprimeable number, because it can be changed into a prime (114542221) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1379986 + ... + 1380068.

It is an arithmetic number, because the mean of its divisors is an integer number (2903040).

Almost surely, 2114542241 is an apocalyptic number.

114542241 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

114542241 is a deficient number, since it is larger than the sum of its proper divisors (71252319).

114542241 is a wasteful number, since it uses less digits than its factorization.

114542241 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 218.

The product of its digits is 1280, while the sum is 24.

The square root of 114542241 is about 10702.4408898157. The cubic root of 114542241 is about 485.6483213393.

Adding to 114542241 its reverse (142245411), we get a palindrome (256787652).

It can be divided in two parts, 11454 and 2241, that added together give a triangular number (13695 = T165).

The spelling of 114542241 in words is "one hundred fourteen million, five hundred forty-two thousand, two hundred forty-one".

Divisors: 1 3 11 19 31 33 57 71 83 93 209 213 249 341 589 627 781 913 1023 1349 1577 1767 2201 2343 2573 2739 4047 4731 5893 6479 6603 7719 14839 17347 17679 19437 24211 28303 41819 44517 48887 52041 64823 72633 84909 111967 125457 146661 182683 194469 335901 460009 537757 548049 1231637 1380027 1613271 2009513 3470977 3694911 6028539 10412931 38180747 114542241