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142781958225 = 310523112
BaseRepresentation
bin1000010011111001110…
…1111100100001010001
3111122112201110000000000
42010332131330201101
54314404140130400
6145332040520213
713213161422454
oct2047635744121
9448481400000
10142781958225
115560a769575
1223809480069
131060604321a
146ca6cb749b
153aaa095600
hex213e77c851

142781958225 has 99 divisors (see below), whose sum is σ = 266429621179. Its totient is φ = 75905521200.

The previous prime is 142781958211. The next prime is 142781958227. The reversal of 142781958225 is 522859187241.

It is a happy number.

The square root of 142781958225 is 377865.

It is a perfect power (a square), and thus also a powerful number.

142781958225 is a `hidden beast` number, since 1 + 4 + 27 + 8 + 19 + 582 + 25 = 666.

142781958225 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 51401504961 + 91380453264 = 226719^2 + 302292^2 .

It is not a de Polignac number, because 142781958225 - 215 = 142781925457 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (142781958227) 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 98 ways as a sum of consecutive naturals, for example, 459105820 + ... + 459106130.

Almost surely, 2142781958225 is an apocalyptic number.

142781958225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

142781958225 is the 377865-th square number.

142781958225 is the 188933-rd centered octagonal number.

It is an amenable number.

142781958225 is a deficient number, since it is larger than the sum of its proper divisors (123647662954).

142781958225 is an frugal number, since it uses more digits than its factorization.

142781958225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 662 (or 319 counting only the distinct ones).

The product of its digits is 3225600, while the sum is 54.

The spelling of 142781958225 in words is "one hundred forty-two billion, seven hundred eighty-one million, nine hundred fifty-eight thousand, two hundred twenty-five".

Divisors: 1 3 5 9 15 25 27 45 75 81 135 225 243 311 405 675 729 933 1215 1555 2025 2187 2799 3645 4665 6075 6561 7775 8397 10935 13995 18225 19683 23325 25191 32805 41985 54675 59049 69975 75573 96721 98415 125955 164025 209925 226719 290163 295245 377865 483605 492075 629775 680157 870489 1133595 1450815 1476225 1889325 2040471 2418025 2611467 3400785 4352445 5667975 6121413 7254075 7834401 10202355 13057335 17003925 18364239 21762225 23503203 30607065 39172005 51011775 65286675 70509609 91821195 117516015 153035325 195860025 211528827 352548045 459105975 587580075 634586481 1057644135 1762740225 1903759443 3172932405 5288220675 5711278329 9518797215 15864662025 28556391645 47593986075 142781958225