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114142042314 = 23222932218597
BaseRepresentation
bin110101001001101100…
…1010101100011001010
3101220121202101112020200
41222103121111203022
53332230330323224
6124234112033030
711150355231366
oct1522331254312
9356552345220
10114142042314
1144453230883
121a155b32776
13a9c0692411
14574b3502a6
152e80a795c9
hex1a936558ca

114142042314 has 48 divisors (see below), whose sum is σ = 248493721320. Its totient is φ = 37865036160.

The previous prime is 114142042303. The next prime is 114142042327. The reversal of 114142042314 is 413240241411.

114142042314 is a `hidden beast` number, since 1 + 1 + 4 + 1 + 420 + 4 + 231 + 4 = 666.

114142042314 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 112523348025 + 1618694289 = 335445^2 + 40233^2 .

It is a super-2 number, since 2×1141420423142 (a number of 23 digits) contains 22 as substring.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13272664 + ... + 13281260.

Almost surely, 2114142042314 is an apocalyptic number.

114142042314 is an abundant number, since it is smaller than the sum of its proper divisors (134351679006).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

114142042314 is a wasteful number, since it uses less digits than its factorization.

114142042314 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12055 (or 12052 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

Adding to 114142042314 its reverse (413240241411), we get a palindrome (527382283725).

The spelling of 114142042314 in words is "one hundred fourteen billion, one hundred forty-two million, forty-two thousand, three hundred fourteen".

Divisors: 1 2 3 6 9 18 229 458 687 1374 2061 3221 4122 6442 8597 9663 17194 19326 25791 28989 51582 57978 77373 154746 737609 1475218 1968713 2212827 3937426 4425654 5906139 6638481 11812278 13276962 17718417 27690937 35436834 55381874 83072811 166145622 249218433 498436866 6341224573 12682449146 19023673719 38047347438 57071021157 114142042314