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425141816841 = 32726125092
BaseRepresentation
bin1100010111111000110…
…11010100111000001001
31111122100212022222221100
412023330123110320021
523431142301114331
6523150224332013
742500260550400
oct6137433247011
91448325288840
10425141816841
11154335521525
126a48b174009
1331124369b41
1416811304637
15b0d3c80ae6
hex62fc6d4e09

425141816841 has 81 divisors (see below), whose sum is σ = 727686269973. Its totient is φ = 238486127040.

The previous prime is 425141816833. The next prime is 425141816861. The reversal of 425141816841 is 148618141524.

The square root of 425141816841 is 652029.

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

425141816841 is a `hidden beast` number, since 42 + 514 + 1 + 8 + 16 + 84 + 1 = 666.

425141816841 is digitally balanced in base 4, 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 4 ways, for example, as 29299511241 + 395842305600 = 171171^2 + 629160^2 .

It is not a de Polignac number, because 425141816841 - 23 = 425141816833 is a prime.

It is not an unprimeable number, because it can be changed into a prime (425141816861) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 835248895 + ... + 835249403.

Almost surely, 2425141816841 is an apocalyptic number.

425141816841 is the 652029-th square number.

425141816841 is the 326015-th centered octagonal number.

It is an amenable number.

425141816841 is a deficient number, since it is larger than the sum of its proper divisors (302544453132).

425141816841 is an frugal number, since it uses more digits than its factorization.

425141816841 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1160 (or 580 counting only the distinct ones).

The product of its digits is 245760, while the sum is 45.

The spelling of 425141816841 in words is "four hundred twenty-five billion, one hundred forty-one million, eight hundred sixteen thousand, eight hundred forty-one".

Divisors: 1 3 7 9 21 49 61 63 147 183 427 441 509 549 1281 1527 2989 3563 3721 3843 4581 8967 10689 11163 24941 26047 26901 31049 32067 33489 74823 78141 93147 182329 217343 224469 234423 259081 279441 546987 652029 777243 1521401 1640961 1813567 1893989 1956087 2331729 4564203 5440701 5681967 12694969 13257923 13692609 15803941 16322103 17045901 38084907 39773769 47411823 92805461 110627587 114254721 119321307 142235469 278416383 331882761 774393109 835249149 964040401 995648283 2323179327 2892121203 6748282807 6969537981 8676363609 20244848421 47237979649 60734545263 141713938947 425141816841