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114203014102014 = 231723239920291741
BaseRepresentation
bin11001111101110111110110…
…000101100111101111111110
3112222100200221102002102012120
4121331313312011213233332
5104432100233102231024
61042520050154343410
733024616103105265
oct3175676605475776
9488320842072176
10114203014102014
1133430254215462
121098538642ab66
134b953b499a276
14202b6537995dc
15d30a3856e479
hex67ddf6167bfe

114203014102014 has 64 divisors (see below), whose sum is σ = 252461737267200. Its totient is φ = 34256353134080.

The previous prime is 114203014102013. The next prime is 114203014102081. The reversal of 114203014102014 is 410201410302411.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114203014102013) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4517817 + ... + 15773924.

It is an arithmetic number, because the mean of its divisors is an integer number (3944714644800).

Almost surely, 2114203014102014 is an apocalyptic number.

114203014102014 is an abundant number, since it is smaller than the sum of its proper divisors (138258723165186).

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

114203014102014 is a wasteful number, since it uses less digits than its factorization.

114203014102014 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20294185.

The product of its (nonzero) digits is 768, while the sum is 24.

Adding to 114203014102014 its reverse (410201410302411), we get a palindrome (524404424404425).

The spelling of 114203014102014 in words is "one hundred fourteen trillion, two hundred three billion, fourteen million, one hundred two thousand, fourteen".

Divisors: 1 2 3 6 17 23 34 46 51 69 102 138 391 782 1173 2346 2399 4798 7197 14394 40783 55177 81566 110354 122349 165531 244698 331062 938009 1876018 2814027 5628054 20291741 40583482 60875223 121750446 344959597 466710043 689919194 933420086 1034878791 1400130129 2069757582 2800260258 7934070731 15868141462 23802212193 47604424386 48679886659 97359773318 146039659977 292079319954 827558073203 1119637393157 1655116146406 2239274786314 2482674219609 3358912179471 4965348439218 6717824358942 19033835683669 38067671367338 57101507051007 114203014102014