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114188610642 = 23293723376123
BaseRepresentation
bin110101001011000101…
…0111110110001010010
3101220202000000102222120
41222112022332301102
53332324241020032
6124242454115110
711151462114201
oct1522612766122
9356660012876
10114188610642
11444775482a7
121a16964ba96
13a9ca218842
1457535d3238
152e84bc762c
hex1a962bec52

114188610642 has 64 divisors (see below), whose sum is σ = 243682058880. Its totient is φ = 35603172864.

The previous prime is 114188610637. The next prime is 114188610643. The reversal of 114188610642 is 246016881411.

It is a junction number, because it is equal to n+sod(n) for n = 114188610594 and 114188610603.

It is not an unprimeable number, because it can be changed into a prime (114188610643) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1461993 + ... + 1538115.

It is an arithmetic number, because the mean of its divisors is an integer number (3807532170).

Almost surely, 2114188610642 is an apocalyptic number.

114188610642 is an abundant number, since it is smaller than the sum of its proper divisors (129493448238).

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

114188610642 is a wasteful number, since it uses less digits than its factorization.

114188610642 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76427.

The product of its (nonzero) digits is 73728, while the sum is 42.

The spelling of 114188610642 in words is "one hundred fourteen billion, one hundred eighty-eight million, six hundred ten thousand, six hundred forty-two".

Divisors: 1 2 3 6 29 37 58 74 87 111 174 222 233 466 699 1073 1398 2146 3219 6438 6757 8621 13514 17242 20271 25863 40542 51726 76123 152246 228369 250009 456738 500018 750027 1500054 2207567 2816551 4415134 5633102 6622701 8449653 13245402 16899306 17736659 35473318 53209977 81679979 106419954 163359958 245039937 490079874 514363111 656256383 1028726222 1312512766 1543089333 1968769149 3086178666 3937538298 19031435107 38062870214 57094305321 114188610642