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2004101442 = 232761260747
BaseRepresentation
bin111011101110100…
…0010100101000010
312011200001220100100
41313131002211002
513101022221232
6530510503230
7100443403230
oct16735024502
95150056310
102004101442
11939299092
1247b204b16
1325c282155
14150245950
15bae22c7c
hex77742942

2004101442 has 48 divisors (see below), whose sum is σ = 5043909312. Its totient is φ = 563211360.

The previous prime is 2004101431. The next prime is 2004101447. The reversal of 2004101442 is 2441014002.

2004101442 is a `hidden beast` number, since 200 + 410 + 14 + 42 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (2004101447) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 122688 + ... + 138059.

It is an arithmetic number, because the mean of its divisors is an integer number (105081444).

Almost surely, 22004101442 is an apocalyptic number.

2004101442 is an abundant number, since it is smaller than the sum of its proper divisors (3039807870).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2004101442 is a wasteful number, since it uses less digits than its factorization.

2004101442 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 260823 (or 260820 counting only the distinct ones).

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

The square root of 2004101442 is about 44767.1915804420. The cubic root of 2004101442 is about 1260.7817106894.

Adding to 2004101442 its reverse (2441014002), we get a palindrome (4445115444).

The spelling of 2004101442 in words is "two billion, four million, one hundred one thousand, four hundred forty-two".

Divisors: 1 2 3 6 7 9 14 18 21 42 61 63 122 126 183 366 427 549 854 1098 1281 2562 3843 7686 260747 521494 782241 1564482 1825229 2346723 3650458 4693446 5475687 10951374 15905567 16427061 31811134 32854122 47716701 95433402 111338969 143150103 222677938 286300206 334016907 668033814 1002050721 2004101442