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144124334734129 = 23971011297493147
BaseRepresentation
bin100000110001010010001111…
…110001100111101100110001
3200220022011002200200011101021
4200301102033301213230301
5122342313114142443004
61230305445541535441
742233432241064351
oct4061221761475461
9626264080604337
10144124334734129
1141a16872709932
12141b8318114581
136255b35784719
14278392553cb61
15119e010c92d54
hex83148fc67b31

144124334734129 has 32 divisors (see below), whose sum is σ = 153564014774016. Its totient is φ = 134981556019200.

The previous prime is 144124334734097. The next prime is 144124334734183. The reversal of 144124334734129 is 921437433421441.

It is a cyclic number.

It is not a de Polignac number, because 144124334734129 - 25 = 144124334734097 is a prime.

It is not an unprimeable number, because it can be changed into a prime (144124334737129) 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 31 ways as a sum of consecutive naturals, for example, 292007734 + ... + 292500880.

It is an arithmetic number, because the mean of its divisors is an integer number (4798875461688).

Almost surely, 2144124334734129 is an apocalyptic number.

It is an amenable number.

144124334734129 is a deficient number, since it is larger than the sum of its proper divisors (9439680039887).

144124334734129 is a wasteful number, since it uses less digits than its factorization.

144124334734129 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 494665.

The product of its digits is 6967296, while the sum is 52.

The spelling of 144124334734129 in words is "one hundred forty-four trillion, one hundred twenty-four billion, three hundred thirty-four million, seven hundred thirty-four thousand, one hundred twenty-nine".

Divisors: 1 23 97 101 1297 2231 2323 9797 29831 125809 130997 225331 493147 2893607 3012931 11342381 12706709 47835259 49807847 292254307 639611659 1100210957 1145580481 4831361159 14711068157 62042330923 64600777559 111121306657 1426973611229 1485817883857 6266275423223 144124334734129