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114963741 = 32173492153
BaseRepresentation
bin1101101101000…
…11010100011101
322000022202121100
412312203110131
5213412314431
615224023313
72564114154
oct666432435
9260282540
10114963741
1159991a62
1232601b39
131aa827a9
14113a859b
15a15d4e6
hex6da351d

114963741 has 24 divisors (see below), whose sum is σ = 176412600. Its totient is φ = 71894016.

The previous prime is 114963727. The next prime is 114963749. The reversal of 114963741 is 147369411.

114963741 is a `hidden beast` number, since 1 + 14 + 9 + 637 + 4 + 1 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 18020025 + 96943716 = 4245^2 + 9846^2 .

It is not a de Polignac number, because 114963741 - 27 = 114963613 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 114963696 and 114963705.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114963749) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 52321 + ... + 54473.

It is an arithmetic number, because the mean of its divisors is an integer number (7350525).

Almost surely, 2114963741 is an apocalyptic number.

It is an amenable number.

114963741 is a deficient number, since it is larger than the sum of its proper divisors (61448859).

114963741 is a wasteful number, since it uses less digits than its factorization.

114963741 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2525 (or 2522 counting only the distinct ones).

The product of its digits is 18144, while the sum is 36.

The square root of 114963741 is about 10722.1145768920. The cubic root of 114963741 is about 486.2432988990.

The spelling of 114963741 in words is "one hundred fourteen million, nine hundred sixty-three thousand, seven hundred forty-one".

Divisors: 1 3 9 17 51 153 349 1047 2153 3141 5933 6459 17799 19377 36601 53397 109803 329409 751397 2254191 6762573 12773749 38321247 114963741