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114105442002425 = 52197983167219377
BaseRepresentation
bin11001111100011100111110…
…010101100110010111111001
3112222000101002102222012012022
4121330130332111212113321
5104424000421123034200
61042403152201524225
733014563136665526
oct3174347625462771
9488011072865168
10114105442002425
11333a2934318925
121096a4957a3675
134b891351948b3
142026a38d7c14d
15d2d22756c885
hex67c73e5665f9

114105442002425 has 96 divisors (see below), whose sum is σ = 153554771865600. Its totient is φ = 83850982824960.

The previous prime is 114105442002421. The next prime is 114105442002439. The reversal of 114105442002425 is 524200244501411.

It is a happy number.

It is not a de Polignac number, because 114105442002425 - 22 = 114105442002421 is a prime.

It is not an unprimeable number, because it can be changed into a prime (114105442002421) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 520024337 + ... + 520243713.

It is an arithmetic number, because the mean of its divisors is an integer number (1599528873600).

Almost surely, 2114105442002425 is an apocalyptic number.

It is an amenable number.

114105442002425 is a deficient number, since it is larger than the sum of its proper divisors (39449329863175).

114105442002425 is a wasteful number, since it uses less digits than its factorization.

114105442002425 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 219735 (or 219730 counting only the distinct ones).

The product of its (nonzero) digits is 51200, while the sum is 35.

Adding to 114105442002425 its reverse (524200244501411), we get a palindrome (638305686503836).

The spelling of 114105442002425 in words is "one hundred fourteen trillion, one hundred five billion, four hundred forty-two million, two thousand, four hundred twenty-five".

Divisors: 1 5 19 25 79 83 95 167 395 415 475 835 1501 1577 1975 2075 3173 4175 6557 7505 7885 13193 13861 15865 32785 37525 39425 65965 69305 79325 124583 163925 219377 250667 263359 329825 346525 622915 1095019 1096885 1253335 1316795 3114575 4168163 5475095 5484425 6266675 6583975 17330783 18208291 20805361 20840815 27375475 36635959 86653915 91041455 104026805 104204075 183179795 329284877 345957529 433269575 455207275 520134025 696083221 915898975 1438454989 1646424385 1729787645 2894240761 3040784597 3480416105 7192274945 8232121925 8648938225 14471203805 15203922985 17402080525 27330644791 35961374725 54990574459 57774907343 72356019025 76019614925 136653223955 240221983163 274952872295 288874536715 683266119775 1201109915815 1374764361475 1444372683575 4564217680097 6005549579075 22821088400485 114105442002425