Search a number
-
+
204122423040 = 283553156881
BaseRepresentation
bin1011111000011010100…
…1001111111100000000
3201111212122100110210020
42332012221033330000
511321020320014130
6233434511533440
720514225653034
oct2760651177400
9644778313706
10204122423040
1179627871698
123368822a280
1316330405653
149c457c21c4
15549a32ce10
hex2f86a4ff00

204122423040 has 72 divisors (see below), whose sum is σ = 651916000848. Its totient is φ = 54432645120.

The previous prime is 204122423039. The next prime is 204122423053. The reversal of 204122423040 is 40324221402.

204122423040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 204122423040.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 26574601 + ... + 26582280.

Almost surely, 2204122423040 is an apocalyptic number.

204122423040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

204122423040 is an abundant number, since it is smaller than the sum of its proper divisors (447793577808).

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

204122423040 is an equidigital number, since it uses as much as digits as its factorization.

204122423040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53156905 (or 53156891 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 204122423040 its reverse (40324221402), we get a palindrome (244446644442).

The spelling of 204122423040 in words is "two hundred four billion, one hundred twenty-two million, four hundred twenty-three thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 256 320 384 480 640 768 960 1280 1920 3840 53156881 106313762 159470643 212627524 265784405 318941286 425255048 531568810 637882572 797353215 850510096 1063137620 1275765144 1594706430 1701020192 2126275240 2551530288 3189412860 3402040384 4252550480 5103060576 6378825720 6804080768 8505100960 10206121152 12757651440 13608161536 17010201920 20412242304 25515302880 34020403840 40824484608 51030605760 68040807680 102061211520 204122423040