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114013066212342 = 232114152113868249
BaseRepresentation
bin11001111011000110111100…
…010011111011001111110110
3112221200112122121121211202200
4121323012330103323033312
5104420442224422243332
61042252513552045330
733005113031510343
oct3173067423731766
9487615577554680
10114013066212342
1133367740620560
12109545b5233846
134b805030b238b
1420223947237ca
15d2ab1c84d17c
hex67b1bc4fb3f6

114013066212342 has 48 divisors (see below), whose sum is σ = 269491939002000. Its totient is φ = 34548579417600.

The previous prime is 114013066212313. The next prime is 114013066212347. The reversal of 114013066212342 is 243212660310411.

114013066212342 is a `hidden beast` number, since 1 + 1 + 4 + 0 + 1 + 3 + 0 + 6 + 621 + 23 + 4 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 114013066212297 and 114013066212306.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114013066212347) 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, 1287034 + ... + 15155282.

It is an arithmetic number, because the mean of its divisors is an integer number (5614415395875).

Almost surely, 2114013066212342 is an apocalyptic number.

114013066212342 is an abundant number, since it is smaller than the sum of its proper divisors (155478872789658).

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

114013066212342 is a wasteful number, since it uses less digits than its factorization.

114013066212342 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13909789 (or 13909786 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The spelling of 114013066212342 in words is "one hundred fourteen trillion, thirteen billion, sixty-six million, two hundred twelve thousand, three hundred forty-two".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 198 41521 83042 124563 249126 373689 456731 747378 913462 1370193 2740386 4110579 8221158 13868249 27736498 41604747 83209494 124814241 152550739 249628482 305101478 457652217 915304434 1372956651 2745913302 575823566729 1151647133458 1727470700187 3454941400374 5182412100561 6334059234019 10364824201122 12668118468038 19002177702057 38004355404114 57006533106171 114013066212342