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2142625540441 = 457232032
BaseRepresentation
bin11111001011011110011…
…011110010100101011001
321120211111020222000002211
4133023132123302211121
5240101044114243231
64320150353155121
7310541154411151
oct37133633624531
97524436860084
102142625540441
11756756294361
122a7308b5baa1
1312708306c499
14759bca8b761
153ab04476eb1
hex1f2de6f2959

2142625540441 has 9 divisors (see below), whose sum is σ = 2147994877791. Its totient is φ = 2137269602352.

The previous prime is 2142625540421. The next prime is 2142625540481. The reversal of 2142625540441 is 1440455262412.

The square root of 2142625540441 is 1463771.

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., 1853069625625 + 289555914816 = 1361275^2 + 538104^2 .

It is not a de Polignac number, because 2142625540441 - 225 = 2142591986009 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2142625540394 and 2142625540403.

It is not an unprimeable number, because it can be changed into a prime (2142625540421) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 668941746 + ... + 668944948.

Almost surely, 22142625540441 is an apocalyptic number.

2142625540441 is the 1463771-st square number.

2142625540441 is the 731886-th centered octagonal number.

It is an amenable number.

2142625540441 is a deficient number, since it is larger than the sum of its proper divisors (5369337350).

2142625540441 is an frugal number, since it uses more digits than its factorization.

2142625540441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7320 (or 3660 counting only the distinct ones).

The product of its (nonzero) digits is 307200, while the sum is 40.

The spelling of 2142625540441 in words is "two trillion, one hundred forty-two billion, six hundred twenty-five million, five hundred forty thousand, four hundred forty-one".

Divisors: 1 457 3203 208849 1463771 10259209 668943347 4688458513 2142625540441