Search a number
-
+
139022139285225 = 38527241592
BaseRepresentation
bin11111100111000010011101…
…001110100101111011101001
3200020020101102220210100000000
4133213002131032211323221
5121210214320124111400
61211401520014133213
741166006132251100
oct3747023516457351
9606211386710000
10139022139285225
1140329a5a365a99
12137135091b1209
135c759680b3a41
1426489c9321037
151111441718600
hex7e709d3a5ee9

139022139285225 has 243 divisors, whose sum is σ = 300855570716727. Its totient is φ = 63537697127520.

The previous prime is 139022139285143. The next prime is 139022139285269. The reversal of 139022139285225 is 522582931220931.

The square root of 139022139285225 is 11790765.

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

139022139285225 is a `hidden beast` number, since 1 + 3 + 9 + 0 + 2 + 2 + 139 + 285 + 225 = 666.

It can be written as a sum of positive squares in only one way, i.e., 50047970142681 + 88974169142544 = 7074459^2 + 9432612^2 .

It is a tau number, because it is divible by the number of its divisors (243).

It is not a de Polignac number, because 139022139285225 - 235 = 138987779546857 is a prime.

It is a super-2 number, since 2×1390221392852252 (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 242 ways as a sum of consecutive naturals, for example, 33426816696 + ... + 33426820854.

Almost surely, 2139022139285225 is an apocalyptic number.

139022139285225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

139022139285225 is the 11790765-th square number.

139022139285225 is the 5895383-rd centered octagonal number.

It is an amenable number.

139022139285225 is an abundant number, since it is smaller than the sum of its proper divisors (161833431431502).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

139022139285225 is an frugal number, since it uses more digits than its factorization.

139022139285225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8366 (or 4174 counting only the distinct ones).

The product of its (nonzero) digits is 4665600, while the sum is 54.

The spelling of 139022139285225 in words is "one hundred thirty-nine trillion, twenty-two billion, one hundred thirty-nine million, two hundred eighty-five thousand, two hundred twenty-five".