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4002204141 = 331317838081
BaseRepresentation
bin1110111010001100…
…1100100111101101
3101022220212000222000
43232203030213231
531144031013031
61501045042513
7201115113435
oct35643144755
911286760860
104002204141
11177415a231
129383b6439
134ba213a40
1429d7692c5
1518655d3e6
hexee8cc9ed

4002204141 has 64 divisors (see below), whose sum is σ = 6843191040. Its totient is φ = 2289807360.

The previous prime is 4002204109. The next prime is 4002204149. The reversal of 4002204141 is 1414022004.

4002204141 is a `hidden beast` number, since 400 + 220 + 4 + 1 + 41 = 666.

It is not a de Polignac number, because 4002204141 - 25 = 4002204109 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4002204149) 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 63 ways as a sum of consecutive naturals, for example, 491221 + ... + 499301.

It is an arithmetic number, because the mean of its divisors is an integer number (106924860).

Almost surely, 24002204141 is an apocalyptic number.

It is an amenable number.

4002204141 is a deficient number, since it is larger than the sum of its proper divisors (2840986899).

4002204141 is a wasteful number, since it uses less digits than its factorization.

4002204141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8203 (or 8197 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 4002204141 is about 63262.9760681554. The cubic root of 4002204141 is about 1587.6925697411.

Adding to 4002204141 its reverse (1414022004), we get a palindrome (5416226145).

The spelling of 4002204141 in words is "four billion, two million, two hundred four thousand, one hundred forty-one".

Divisors: 1 3 9 13 17 27 39 51 83 117 153 221 249 351 459 663 747 1079 1411 1989 2241 3237 4233 5967 8081 9711 12699 18343 24243 29133 38097 55029 72729 105053 137377 165087 218187 315159 412131 495261 670723 945477 1236393 1785901 2012169 2836431 3709179 5357703 6036507 8719399 11402291 16073109 18109521 26158197 34206873 48219327 78474591 102620619 148229783 235423773 307861857 444689349 1334068047 4002204141