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4003140300129 = 322633168930257
BaseRepresentation
bin111010010000001101110…
…000010110110101100001
3112011200210201201110212100
4322100031300112311201
51011041412404101004
612303003421321013
7562134356056065
oct72201560266541
915150721643770
104003140300129
1113037a4379633
12547a03706169
13230657593aa9
14dba78427aa5
156e1e6a14739
hex3a40dc16d61

4003140300129 has 12 divisors (see below), whose sum is σ = 5784509894436. Its totient is φ = 2667746602752.

The previous prime is 4003140300101. The next prime is 4003140300191. The reversal of 4003140300129 is 9210030413004.

4003140300129 is a `hidden beast` number, since 40 + 0 + 314 + 0 + 300 + 1 + 2 + 9 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1882447112529 + 2120693187600 = 1372023^2 + 1456260^2 .

It is not a de Polignac number, because 4003140300129 - 29 = 4003140299617 is a prime.

It is not an unprimeable number, because it can be changed into a prime (4003140300199) 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 11 ways as a sum of consecutive naturals, for example, 84441432 + ... + 84488825.

It is an arithmetic number, because the mean of its divisors is an integer number (482042491203).

Almost surely, 24003140300129 is an apocalyptic number.

It is an amenable number.

4003140300129 is a deficient number, since it is larger than the sum of its proper divisors (1781369594307).

4003140300129 is a wasteful number, since it uses less digits than its factorization.

4003140300129 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168932896 (or 168932893 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The spelling of 4003140300129 in words is "four trillion, three billion, one hundred forty million, three hundred thousand, one hundred twenty-nine".

Divisors: 1 3 9 2633 7899 23697 168930257 506790771 1520372313 444793366681 1334380100043 4003140300129