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23442242004 = 22321738304317
BaseRepresentation
bin10101110101010001…
…000011100111010100
32020111201201021120100
4111311101003213110
5341002203221004
614434052334100
71456630524606
oct256521034724
966451637510
1023442242004
119a3a597425
124662914330
1322978a091c
1411c552b176
15923069739
hex5754439d4

23442242004 has 36 divisors (see below), whose sum is σ = 62742472884. Its totient is φ = 7354428672.

The previous prime is 23442241993. The next prime is 23442242011. The reversal of 23442242004 is 40024224432.

23442242004 is a `hidden beast` number, since 2 + 34 + 422 + 4 + 200 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 14587808400 + 8854433604 = 120780^2 + 94098^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 19151547 + ... + 19152770.

It is an arithmetic number, because the mean of its divisors is an integer number (1742846469).

Almost surely, 223442242004 is an apocalyptic number.

It is an amenable number.

23442242004 is an abundant number, since it is smaller than the sum of its proper divisors (39300230880).

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

23442242004 is a wasteful number, since it uses less digits than its factorization.

23442242004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38304344 (or 38304339 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 27.

Adding to 23442242004 its reverse (40024224432), we get a palindrome (63466466436).

The spelling of 23442242004 in words is "twenty-three billion, four hundred forty-two million, two hundred forty-two thousand, four".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 68 102 153 204 306 612 38304317 76608634 114912951 153217268 229825902 344738853 459651804 651173389 689477706 1302346778 1378955412 1953520167 2604693556 3907040334 5860560501 7814080668 11721121002 23442242004