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114506353 = 1310980809
BaseRepresentation
bin1101101001100…
…11101001110001
321222110112012001
412310303221301
5213303200403
615210134001
72560200523
oct664635161
9258415161
10114506353
11596aa355
1232421301
131a952550
14112c9a13
15a0bcc1d
hex6d33a71

114506353 has 8 divisors (see below), whose sum is σ = 124447400. Its totient is φ = 104727168.

The previous prime is 114506311. The next prime is 114506363. The reversal of 114506353 is 353605411.

It can be written as a sum of positive squares in 4 ways, for example, as 20358144 + 94148209 = 4512^2 + 9703^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 114506353 - 225 = 80951921 is a prime.

It is a super-2 number, since 2×1145063532 = 26223409754721218, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (114506363) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 38988 + ... + 41821.

It is an arithmetic number, because the mean of its divisors is an integer number (15555925).

Almost surely, 2114506353 is an apocalyptic number.

114506353 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

114506353 is a deficient number, since it is larger than the sum of its proper divisors (9941047).

114506353 is a wasteful number, since it uses less digits than its factorization.

114506353 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80931.

The product of its (nonzero) digits is 5400, while the sum is 28.

The square root of 114506353 is about 10700.7641315936. The cubic root of 114506353 is about 485.5975954604.

The spelling of 114506353 in words is "one hundred fourteen million, five hundred six thousand, three hundred fifty-three".

Divisors: 1 13 109 1417 80809 1050517 8808181 114506353