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241426305554625 = 3253297400040017
BaseRepresentation
bin110110111001001101110001…
…001011101001100011000001
31011122211010111100002111102200
4312321031301023221203001
5223121012033210222000
62213245414051503413
7101565321625506432
oct6671156113514301
91148733440074380
10241426305554625
116aa203595731a4
12230b20512b7b69
13a4935312c8039
14438914a21b489
151cda0bb529500
hexdb93712e98c1

241426305554625 has 48 divisors (see below), whose sum is σ = 450218434695120. Its totient is φ = 124320672268800.

The previous prime is 241426305554561. The next prime is 241426305554671. The reversal of 241426305554625 is 526455503624142.

241426305554625 is a `hidden beast` number, since 2 + 4 + 1 + 4 + 2 + 6 + 3 + 0 + 5 + 5 + 5 + 4 + 625 = 666.

241426305554625 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 87755002359696 + 153671303194929 = 9367764^2 + 12396423^2 .

It is not a de Polignac number, because 241426305554625 - 26 = 241426305554561 is a prime.

It is a super-2 number, since 2×2414263055546252 (a number of 30 digits) contains 22 as substring.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3699987384 + ... + 3700052633.

It is an arithmetic number, because the mean of its divisors is an integer number (9379550722815).

Almost surely, 2241426305554625 is an apocalyptic number.

241426305554625 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

241426305554625 is a deficient number, since it is larger than the sum of its proper divisors (208792129140495).

241426305554625 is a wasteful number, since it uses less digits than its factorization.

241426305554625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7400040067 (or 7400040054 counting only the distinct ones).

The product of its (nonzero) digits is 34560000, while the sum is 54.

The spelling of 241426305554625 in words is "two hundred forty-one trillion, four hundred twenty-six billion, three hundred five million, five hundred fifty-four thousand, six hundred twenty-five".

Divisors: 1 3 5 9 15 25 29 45 75 87 125 145 225 261 375 435 725 1125 1305 2175 3625 6525 10875 32625 7400040017 22200120051 37000200085 66600360153 111000600255 185001000425 214601160493 333001800765 555003001275 643803481479 925005002125 1073005802465 1665009003825 1931410444437 2775015006375 3219017407395 5365029012325 8325045019125 9657052222185 16095087036975 26825145061625 48285261110925 80475435184875 241426305554625