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142464728025 = 3252251632
BaseRepresentation
bin1000010010101110001…
…1110011101111011001
3111121201121112000222100
42010223203303233121
54313231432244100
6145240345314013
713202260131204
oct2045343635731
9447647460870
10142464728025
1155467696854
122373b195909
13105853c1949
146c76ada93b
153a8c2d1400
hex212b8f3bd9

142464728025 has 27 divisors (see below), whose sum is σ = 255180298399. Its totient is φ = 75978168720.

The previous prime is 142464728017. The next prime is 142464728071. The reversal of 142464728025 is 520827464241.

The square root of 142464728025 is 377445.

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

142464728025 is a `hidden beast` number, since 1 + 42 + 46 + 472 + 80 + 25 = 666.

It can be written as a sum of positive squares in only one way, i.e., 51287302089 + 91177425936 = 226467^2 + 301956^2 .

It is not a de Polignac number, because 142464728025 - 23 = 142464728017 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 5649094 + ... + 5674256.

Almost surely, 2142464728025 is an apocalyptic number.

142464728025 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

142464728025 is the 377445-th square number.

142464728025 is the 188723-rd centered octagonal number.

It is an amenable number.

142464728025 is a deficient number, since it is larger than the sum of its proper divisors (112715570374).

142464728025 is an frugal number, since it uses more digits than its factorization.

142464728025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50342 (or 25171 counting only the distinct ones).

The product of its (nonzero) digits is 860160, while the sum is 45.

It can be divided in two parts, 142464 and 728025, that added together give a square (870489 = 9332).

The spelling of 142464728025 in words is "one hundred forty-two billion, four hundred sixty-four million, seven hundred twenty-eight thousand, twenty-five".

Divisors: 1 3 5 9 15 25 45 75 225 25163 75489 125815 226467 377445 629075 1132335 1887225 5661675 633176569 1899529707 3165882845 5698589121 9497648535 15829414225 28492945605 47488242675 142464728025