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164140114451281 = 41115312592757883
BaseRepresentation
bin100101010100100011011001…
…001101110001101101010001
3210112011122022210110100120121
4211110203121031301231101
5133003232423244420111
61341032532210110241
746400506023364453
oct4524433115615521
9715148283410517
10164140114451281
1148333482535a21
12164ab55427b381
137078466cb52a7
142c765d138a2d3
1513e99db10a871
hex9548d9371b51

164140114451281 has 16 divisors (see below), whose sum is σ = 168423093357120. Its totient is φ = 159870668820480.

The previous prime is 164140114451273. The next prime is 164140114451399. The reversal of 164140114451281 is 182154411041461.

It is a cyclic number.

It is not a de Polignac number, because 164140114451281 - 23 = 164140114451273 is a prime.

It is a super-2 number, since 2×1641401144512812 (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (164140114421281) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 58137766 + ... + 60895648.

It is an arithmetic number, because the mean of its divisors is an integer number (10526443334820).

Almost surely, 2164140114451281 is an apocalyptic number.

It is an amenable number.

164140114451281 is a deficient number, since it is larger than the sum of its proper divisors (4282978905839).

164140114451281 is a wasteful number, since it uses less digits than its factorization.

164140114451281 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2760336.

The product of its (nonzero) digits is 122880, while the sum is 43.

The spelling of 164140114451281 in words is "one hundred sixty-four trillion, one hundred forty billion, one hundred fourteen million, four hundred fifty-one thousand, two hundred eighty-one".

Divisors: 1 41 1153 1259 47273 51619 1451627 2757883 59516707 113073203 3179839099 3472174697 130373403059 142359162577 4003417425641 164140114451281