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14585940642 = 2372133816311
BaseRepresentation
bin11011001010110001…
…11100101010100010
31101122112000120000210
431211120330222202
5214333000100032
610411203154550
71024311310200
oct154530745242
941575016023
1014585940642
1162054240a9
1229b0975a56
1314b5b24310
149c5240070
155a57c52cc
hex36563caa2

14585940642 has 48 divisors (see below), whose sum is σ = 36545003712. Its totient is φ = 3846840480.

The previous prime is 14585940623. The next prime is 14585940643. The reversal of 14585940642 is 24604958541.

14585940642 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 14585940591 and 14585940600.

It is not an unprimeable number, because it can be changed into a prime (14585940643) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1904334 + ... + 1911977.

It is an arithmetic number, because the mean of its divisors is an integer number (761354244).

Almost surely, 214585940642 is an apocalyptic number.

14585940642 is an abundant number, since it is smaller than the sum of its proper divisors (21959063070).

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

14585940642 is a wasteful number, since it uses less digits than its factorization.

14585940642 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3816343 (or 3816336 counting only the distinct ones).

The product of its (nonzero) digits is 1382400, while the sum is 48.

The spelling of 14585940642 in words is "fourteen billion, five hundred eighty-five million, nine hundred forty thousand, six hundred forty-two".

Divisors: 1 2 3 6 7 13 14 21 26 39 42 49 78 91 98 147 182 273 294 546 637 1274 1911 3822 3816311 7632622 11448933 22897866 26714177 49612043 53428354 80142531 99224086 148836129 160285062 186999239 297672258 347284301 373998478 560997717 694568602 1041852903 1121995434 2083705806 2430990107 4861980214 7292970321 14585940642