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144253631525 = 5238153151237
BaseRepresentation
bin1000011001011000101…
…1111011110000100101
3111210100021122202020112
42012112023323300211
54330412412202100
6150134051542405
713264511431253
oct2062613736045
9453307582215
10144253631525
11561a54614a3
1223b5a2baa05
13107abbc8023
146da65255d3
153b44396b35
hex21962fbc25

144253631525 has 12 divisors (see below), whose sum is σ = 178880374212. Its totient is φ = 115399117440.

The previous prime is 144253631507. The next prime is 144253631539. The reversal of 144253631525 is 525136352441.

144253631525 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 6 ways, for example, as 486775969 + 143766855556 = 22063^2 + 379166^2 .

It is not a de Polignac number, because 144253631525 - 220 = 144252582949 is a prime.

It is a super-2 number, since 2×1442536315252 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

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 11 ways as a sum of consecutive naturals, for example, 878207 + ... + 1029443.

It is an arithmetic number, because the mean of its divisors is an integer number (14906697851).

Almost surely, 2144253631525 is an apocalyptic number.

It is an amenable number.

144253631525 is a deficient number, since it is larger than the sum of its proper divisors (34626742687).

144253631525 is a wasteful number, since it uses less digits than its factorization.

144253631525 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 189400 (or 189395 counting only the distinct ones).

The product of its digits is 432000, while the sum is 41.

Adding to 144253631525 its reverse (525136352441), we get a palindrome (669389983966).

The spelling of 144253631525 in words is "one hundred forty-four billion, two hundred fifty-three million, six hundred thirty-one thousand, five hundred twenty-five".

Divisors: 1 5 25 38153 151237 190765 756185 953825 3780925 5770145261 28850726305 144253631525