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114278241 = 37211292437
BaseRepresentation
bin1101100111110…
…11111101100001
321222000221021110
412303323331201
5213223400431
615201213533
72555230500
oct663737541
9258027243
10114278241
1159563a30
12323312a9
131a8a277c
141126a837
15a075346
hex6cfbf61

114278241 has 48 divisors (see below), whose sum is σ = 200111040. Its totient is φ = 57294720.

The previous prime is 114278239. The next prime is 114278249. The reversal of 114278241 is 142872411.

It is not a de Polignac number, because 114278241 - 21 = 114278239 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 114278199 and 114278208.

It is not an unprimeable number, because it can be changed into a prime (114278249) 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, 45675 + ... + 48111.

It is an arithmetic number, because the mean of its divisors is an integer number (4168980).

Almost surely, 2114278241 is an apocalyptic number.

114278241 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

114278241 is a deficient number, since it is larger than the sum of its proper divisors (85832799).

114278241 is a wasteful number, since it uses less digits than its factorization.

114278241 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2494 (or 2487 counting only the distinct ones).

The product of its digits is 3584, while the sum is 30.

The square root of 114278241 is about 10690.1001398490. The cubic root of 114278241 is about 485.2749226014.

The spelling of 114278241 in words is "one hundred fourteen million, two hundred seventy-eight thousand, two hundred forty-one".

Divisors: 1 3 7 11 21 29 33 49 77 87 147 203 231 319 539 609 957 1421 1617 2233 2437 4263 6699 7311 15631 17059 26807 46893 51177 70673 80421 119413 187649 212019 358239 494711 562947 777403 1313543 1484133 2332209 3462977 3940629 5441821 10388931 16325463 38092747 114278241