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230445152363241 = 3340072134199809
BaseRepresentation
bin110100011001011010110001…
…011100100110001011101001
31010012221100012220000220012000
4310121122301130212023221
5220201103133001110431
62134041012544441213
766353053462455024
oct6431326134461351
91105840186026160
10230445152363241
11674772708a8582
1221a19993319209
139b77b6669605a
1440c9867b441bb
151b996197499e6
hexd196b17262e9

230445152363241 has 32 divisors (see below), whose sum is σ = 341504849606400. Its totient is φ = 153583025333760.

The previous prime is 230445152363177. The next prime is 230445152363267. The reversal of 230445152363241 is 142363251544032.

230445152363241 is a `hidden beast` number, since 2 + 3 + 0 + 4 + 4 + 5 + 1 + 5 + 2 + 3 + 632 + 4 + 1 = 666.

230445152363241 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 230445152363241 - 26 = 230445152363177 is a prime.

It is not an unprimeable number, because it can be changed into a prime (230445152363291) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2308811545 + ... + 2308911353.

It is an arithmetic number, because the mean of its divisors is an integer number (10672026550200).

Almost surely, 2230445152363241 is an apocalyptic number.

It is an amenable number.

230445152363241 is a deficient number, since it is larger than the sum of its proper divisors (111059697243159).

230445152363241 is a wasteful number, since it uses less digits than its factorization.

230445152363241 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125166 (or 125160 counting only the distinct ones).

The product of its (nonzero) digits is 2073600, while the sum is 45.

It can be divided in two parts, 23044515 and 2363241, that added together give a triangular number (25407756 = T7128).

The spelling of 230445152363241 in words is "two hundred thirty trillion, four hundred forty-five billion, one hundred fifty-two million, three hundred sixty-three thousand, two hundred forty-one".

Divisors: 1 3 9 27 4007 12021 21341 36063 64023 99809 108189 192069 299427 576207 898281 2694843 85513387 256540161 399934663 769620483 1199803989 2130023869 2308861449 3599411967 6390071607 10798235901 19170214821 57510644463 8535005643083 25605016929249 76815050787747 230445152363241