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241222352232096 = 25328091035324613
BaseRepresentation
bin110110110110001111110100…
…100111011101111010100000
31011122002122001110221012221100
4312312033310213131322200
5223104141334132411341
62213012004020154400
7101544511522044654
oct6666176447357240
91148078043835840
10241222352232096
116a9519091aa2a4
122307a611838a00
13a47a229c4b481
14437d31d096a64
151cd4b30ea03b6
hexdb63f49ddea0

241222352232096 has 72 divisors (see below), whose sum is σ = 686823995681460. Its totient is φ = 80308059503616.

The previous prime is 241222352232089. The next prime is 241222352232097. The reversal of 241222352232096 is 690232253222142.

241222352232096 is a `hidden beast` number, since 2 + 4 + 1 + 2 + 2 + 2 + 3 + 522 + 32 + 0 + 96 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 235359658542096 + 5862693690000 = 15341436^2 + 2421300^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is not an unprimeable number, because it can be changed into a prime (241222352232097) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 517429315 + ... + 517895298.

Almost surely, 2241222352232096 is an apocalyptic number.

It is an amenable number.

241222352232096 is an abundant number, since it is smaller than the sum of its proper divisors (445601643449364).

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

241222352232096 is a wasteful number, since it uses less digits than its factorization.

241222352232096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1035325438 (or 1035325427 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 45.

The spelling of 241222352232096 in words is "two hundred forty-one trillion, two hundred twenty-two billion, three hundred fifty-two million, two hundred thirty-two thousand, ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 809 1618 2427 3236 4854 6472 7281 9708 12944 14562 19416 25888 29124 38832 58248 77664 116496 232992 1035324613 2070649226 3105973839 4141298452 6211947678 8282596904 9317921517 12423895356 16565193808 18635843034 24847790712 33130387616 37271686068 49695581424 74543372136 99391162848 149086744272 298173488544 837577611917 1675155223834 2512732835751 3350310447668 5025465671502 6700620895336 7538198507253 10050931343004 13401241790672 15076397014506 20101862686008 26802483581344 30152794029012 40203725372016 60305588058024 80407450744032 120611176116048 241222352232096