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114133342212 = 22323899838291
BaseRepresentation
bin110101001001011100…
…0001001100000000100
3101220121011000111221200
41222102320021200010
53332221113422322
6124233201342500
711150221254561
oct1522270114004
9356534014850
10114133342212
114444932930a
121a153037a30
13a9bb937426
14574a127868
152e7ee0b8ac
hex1a92e09804

114133342212 has 72 divisors (see below), whose sum is σ = 289574550720. Its totient is φ = 37903471680.

The previous prime is 114133342189. The next prime is 114133342231. The reversal of 114133342212 is 212243331411.

114133342212 is a `hidden beast` number, since 1 + 1 + 413 + 3 + 34 + 2 + 212 = 666.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13761787 + ... + 13770077.

It is an arithmetic number, because the mean of its divisors is an integer number (4021868760).

Almost surely, 2114133342212 is an apocalyptic number.

114133342212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

114133342212 is an abundant number, since it is smaller than the sum of its proper divisors (175441208508).

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

114133342212 is a wasteful number, since it uses less digits than its factorization.

114133342212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9673 (or 9668 counting only the distinct ones).

The product of its digits is 3456, while the sum is 27.

Adding to 114133342212 its reverse (212243331411), we get a palindrome (326376673623).

The spelling of 114133342212 in words is "one hundred fourteen billion, one hundred thirty-three million, three hundred forty-two thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 36 389 778 983 1167 1556 1966 2334 2949 3501 3932 4668 5898 7002 8291 8847 11796 14004 16582 17694 24873 33164 35388 49746 74619 99492 149238 298476 382387 764774 1147161 1529548 2294322 3225199 3441483 4588644 6450398 6882966 8150053 9675597 12900796 13765932 16300106 19351194 24450159 29026791 32600212 38702388 48900318 58053582 73350477 97800636 116107164 146700954 293401908 3170370617 6340741234 9511111851 12681482468 19022223702 28533335553 38044447404 57066671106 114133342212