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144320211025 = 52759792
BaseRepresentation
bin1000011001101000100…
…1111010100001010001
3111210111220221100010221
42012122021322201101
54331031433223100
6150144430553041
713266250360504
oct2063211724121
9453456840127
10144320211025
1156229aa6681
1223b78668781
13107bc939993
146db12d713b
153b4a14901a
hex219a27a851

144320211025 has 9 divisors (see below), whose sum is σ = 178959417051. Its totient is φ = 115454649240.

The previous prime is 144320210977. The next prime is 144320211047. The reversal of 144320211025 is 520112023441.

The square root of 144320211025 is 379895.

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., 51955275969 + 92364935056 = 227937^2 + 303916^2 .

It is not a de Polignac number, because 144320211025 - 225 = 144286656593 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1861486 + ... + 1937464.

Almost surely, 2144320211025 is an apocalyptic number.

144320211025 is the 379895-th square number.

144320211025 is the 189948-th centered octagonal number.

It is an amenable number.

144320211025 is a deficient number, since it is larger than the sum of its proper divisors (34639206026).

144320211025 is an frugal number, since it uses more digits than its factorization.

144320211025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151968 (or 75984 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 25.

Multiplying 144320211025 by its sum of digits (25), we get a square (3608005275625 = 18994752).

144320211025 divided by its sum of digits (25) gives a square (5772808441 = 759792).

Adding to 144320211025 its reverse (520112023441), we get a palindrome (664432234466).

The spelling of 144320211025 in words is "one hundred forty-four billion, three hundred twenty million, two hundred eleven thousand, twenty-five".

Divisors: 1 5 25 75979 379895 1899475 5772808441 28864042205 144320211025