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4201204342329 = 33339374584971
BaseRepresentation
bin111101001000101011010…
…010101101111000111001
3112212122001011011022112000
4331020223102231320321
51022313031302423304
612534001233211213
7612345521462211
oct75105322557071
915778034138460
104201204342329
11137a7a2365005
1257a27aa00b09
1324623079c6b7
141074a7361241
157443a026939
hex3d22b4ade39

4201204342329 has 16 divisors (see below), whose sum is σ = 6224191189440. Its totient is φ = 2800719754560.

The previous prime is 4201204342301. The next prime is 4201204342343. The reversal of 4201204342329 is 9232434021024.

4201204342329 is a `hidden beast` number, since 4 + 2 + 0 + 1 + 204 + 3 + 423 + 29 = 666.

It is not a de Polignac number, because 4201204342329 - 27 = 4201204342201 is a prime.

It is a super-2 number, since 2×42012043423292 (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 4201204342293 and 4201204342302.

It is not an unprimeable number, because it can be changed into a prime (4201204342369) 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, 1376187 + ... + 3208784.

It is an arithmetic number, because the mean of its divisors is an integer number (389011949340).

Almost surely, 24201204342329 is an apocalyptic number.

It is an amenable number.

4201204342329 is a deficient number, since it is larger than the sum of its proper divisors (2022986847111).

4201204342329 is a wasteful number, since it uses less digits than its factorization.

4201204342329 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4618917 (or 4618911 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

The spelling of 4201204342329 in words is "four trillion, two hundred one billion, two hundred four million, three hundred forty-two thousand, three hundred twenty-nine".

Divisors: 1 3 9 27 33937 101811 305433 916299 4584971 13754913 41264739 123794217 155600160827 466800482481 1400401447443 4201204342329