Search a number
-
+
114131241 = 3372281307
BaseRepresentation
bin1101100110110…
…00000100101001
321221202110122000
412303120010221
5213204144431
615154121213
72554046100
oct663300451
9257673560
10114131241
1159473544
1232280209
131a8508a3
141122d037
15a0469e6
hex6cd8129

114131241 has 48 divisors (see below), whose sum is σ = 198031680. Its totient is φ = 64774080.

The previous prime is 114131239. The next prime is 114131257. The reversal of 114131241 is 142131411.

114131241 is a `hidden beast` number, since 11 + 413 + 1 + 241 = 666.

It is not a de Polignac number, because 114131241 - 21 = 114131239 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114131201) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 371610 + ... + 371916.

It is an arithmetic number, because the mean of its divisors is an integer number (4125660).

Almost surely, 2114131241 is an apocalyptic number.

It is an amenable number.

114131241 is a deficient number, since it is larger than the sum of its proper divisors (83900439).

114131241 is a wasteful number, since it uses less digits than its factorization.

114131241 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 611 (or 598 counting only the distinct ones).

The product of its digits is 96, while the sum is 18.

The square root of 114131241 is about 10683.2224071204. Note that the first 3 decimals coincide. The cubic root of 114131241 is about 485.0667580902.

Adding to 114131241 its reverse (142131411), we get a palindrome (256262652).

The spelling of 114131241 in words is "one hundred fourteen million, one hundred thirty-one thousand, two hundred forty-one".

Divisors: 1 3 7 9 21 27 49 63 147 189 281 307 441 843 921 1323 1967 2149 2529 2763 5901 6447 7587 8289 13769 15043 17703 19341 41307 45129 53109 58023 86267 123921 135387 258801 371763 406161 603869 776403 1811607 2329209 4227083 5434821 12681249 16304463 38043747 114131241