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114013600281 = 327422972
BaseRepresentation
bin110101000101110111…
…1010111101000011001
3101220021210200222220100
41222023233113220121
53331444440202111
6124213243050013
711144235420000
oct1521357275031
9356253628810
10114013600281
1144397783439
121a11ab10909
13a99cba0b09
145738277c37
152e74657756
hex1a8bbd7a19

114013600281 has 45 divisors (see below), whose sum is σ = 192206275391. Its totient is φ = 65122265376.

The previous prime is 114013600247. The next prime is 114013600319. The reversal of 114013600281 is 182006310411.

It is a happy number.

The square root of 114013600281 is 337659.

It is a perfect power (a square), and thus also a powerful number.

114013600281 is a `hidden beast` number, since 1 + 1 + 40 + 13 + 600 + 2 + 8 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 53603825625 + 60409774656 = 231525^2 + 245784^2 .

It is not a de Polignac number, because 114013600281 - 29 = 114013599769 is a prime.

It is a super-2 number, since 2×1140136002812 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (114013602281) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 49634725 + ... + 49637021.

Almost surely, 2114013600281 is an apocalyptic number.

114013600281 is the 337659-th square number.

114013600281 is the 168830-th centered octagonal number.

It is an amenable number.

114013600281 is a deficient number, since it is larger than the sum of its proper divisors (78192675110).

114013600281 is an frugal number, since it uses more digits than its factorization.

114013600281 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4628 (or 2307 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

Adding to 114013600281 its reverse (182006310411), we get a palindrome (296019910692).

The spelling of 114013600281 in words is "one hundred fourteen billion, thirteen million, six hundred thousand, two hundred eighty-one".

Divisors: 1 3 7 9 21 49 63 147 343 441 1029 2297 2401 3087 6891 7203 16079 20673 21609 48237 112553 144711 337659 787871 1012977 2363613 5276209 5515097 7090839 15828627 16545291 36933463 47485881 49635873 110800389 258534241 332401167 775602723 1809739687 2326808169 5429219061 12668177809 16287657183 38004533427 114013600281