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300134144025 = 3252365232
BaseRepresentation
bin1000101111000010110…
…00111001100000011001
31001200200212100020202100
410113201120321200121
514404133320102100
6345514004154013
730453414062652
oct4274130714031
91050625306670
10300134144025
11106316999731
124a202398909
13223c1868681
1410752ca0529
157c1935a400
hex45e1639819

300134144025 has 27 divisors (see below), whose sum is σ = 537588319359. Its totient is φ = 160067160720.

The previous prime is 300134144003. The next prime is 300134144029. The reversal of 300134144025 is 520441431003.

It is a happy number.

The square root of 300134144025 is 547845.

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

It can be written as a sum of positive squares in only one way, i.e., 108048291849 + 192085852176 = 328707^2 + 438276^2 .

It is not a de Polignac number, because 300134144025 - 221 = 300132046873 is a prime.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 300134144025.

It is not an unprimeable number, because it can be changed into a prime (300134144029) by changing a digit.

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 26 ways as a sum of consecutive naturals, for example, 8199414 + ... + 8235936.

Almost surely, 2300134144025 is an apocalyptic number.

300134144025 is the 547845-th square number.

300134144025 is the 273923-rd centered octagonal number.

It is an amenable number.

300134144025 is a deficient number, since it is larger than the sum of its proper divisors (237454175334).

300134144025 is an frugal number, since it uses more digits than its factorization.

300134144025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73062 (or 36531 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

Adding to 300134144025 its reverse (520441431003), we get a palindrome (820575575028).

The spelling of 300134144025 in words is "three hundred billion, one hundred thirty-four million, one hundred forty-four thousand, twenty-five".

Divisors: 1 3 5 9 15 25 45 75 225 36523 109569 182615 328707 547845 913075 1643535 2739225 8217675 1333929529 4001788587 6669647645 12005365761 20008942935 33348238225 60026828805 100044714675 300134144025