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241540116464656 = 2429520560595829
BaseRepresentation
bin110110111010110111110000…
…110101110100010000010000
31011200020000021000101202120201
4312322313300311310100100
5223124343124303332111
62213413555254344544
7101606461153335652
oct6672676065642020
91150200230352521
10241540116464656
116aa64651896429
122311011435b154
13a4a119b1ac199
1443908655b26d2
151cdd02ce956c1
hexdbadf0d74410

241540116464656 has 20 divisors (see below), whose sum is σ = 484121354121900. Its totient is φ = 116605573465472.

The previous prime is 241540116464623. The next prime is 241540116464671. The reversal of 241540116464656 is 656464611045142.

241540116464656 is digitally balanced in base 2, 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 2 ways, for example, as 116393026873600 + 125147089591056 = 10788560^2 + 11186916^2 .

It is a junction number, because it is equal to n+sod(n) for n = 241540116464597 and 241540116464606.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 260280297451 + ... + 260280298378.

It is an arithmetic number, because the mean of its divisors is an integer number (24206067706095).

Almost surely, 2241540116464656 is an apocalyptic number.

It is an amenable number.

241540116464656 is an abundant number, since it is smaller than the sum of its proper divisors (242581237657244).

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

241540116464656 is a wasteful number, since it uses less digits than its factorization.

241540116464656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 520560595866 (or 520560595860 counting only the distinct ones).

The product of its (nonzero) digits is 16588800, while the sum is 55.

The spelling of 241540116464656 in words is "two hundred forty-one trillion, five hundred forty billion, one hundred sixteen million, four hundred sixty-four thousand, six hundred fifty-six".

Divisors: 1 2 4 8 16 29 58 116 232 464 520560595829 1041121191658 2082242383316 4164484766632 8328969533264 15096257279041 30192514558082 60385029116164 120770058232328 241540116464656