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3004023001141 = 471811777198719
BaseRepresentation
bin101011101101101101101…
…110010101000000110101
3101122011220112020220112101
4223231231232111000311
5343204214342014031
610220010142222101
7430014330126301
oct53555556250065
911564815226471
103004023001141
11a58aa9740008
12406249284931
1318a380145a56
14a5577316d01
155321ca0e361
hex2bb6db95035

3004023001141 has 16 divisors (see below), whose sum is σ = 3086639861760. Its totient is φ = 2922203831040.

The previous prime is 3004023001027. The next prime is 3004023001153. The reversal of 3004023001141 is 1411003204003.

It is a cyclic number.

It is not a de Polignac number, because 3004023001141 - 231 = 3001875517493 is a prime.

It is a super-3 number, since 3×30040230011413 (a number of 38 digits) contains 333 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3004023071141) 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, 15017580 + ... + 15216298.

It is an arithmetic number, because the mean of its divisors is an integer number (192914991360).

Almost surely, 23004023001141 is an apocalyptic number.

It is an amenable number.

3004023001141 is a deficient number, since it is larger than the sum of its proper divisors (82616860619).

3004023001141 is a wasteful number, since it uses less digits than its factorization.

3004023001141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200724.

The product of its (nonzero) digits is 288, while the sum is 19.

Adding to 3004023001141 its reverse (1411003204003), we get a palindrome (4415026205144).

The spelling of 3004023001141 in words is "three trillion, four billion, twenty-three million, one thousand, one hundred forty-one".

Divisors: 1 47 181 1777 8507 83519 198719 321637 9339793 15116939 35968139 353123663 1690502533 16596812161 63915383003 3004023001141