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230054235406272 = 2632399399714247
BaseRepresentation
bin110100010011101110101100…
…111110101111111111000000
31010011112222012012210220211100
4310103232230332233333000
5220123202033231000042
62133141242353414400
766312604262244024
oct6423565476577700
91104488165726740
10230054235406272
11673364a9426912
1221976075b6a400
139b4a037a924b4
1440b4982012384
151b8e38a48324c
hexd13bacfaffc0

230054235406272 has 42 divisors (see below), whose sum is σ = 659408928223448. Its totient is φ = 76684745135232.

The previous prime is 230054235406271. The next prime is 230054235406279. The reversal of 230054235406272 is 272604532450032.

230054235406272 is a `hidden beast` number, since 2 + 3 + 0 + 0 + 5 + 4 + 235 + 406 + 2 + 7 + 2 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (230054235406271) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 199699856548 + ... + 199699857699.

Almost surely, 2230054235406272 is an apocalyptic number.

It is an amenable number.

230054235406272 is an abundant number, since it is smaller than the sum of its proper divisors (429354692817176).

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

230054235406272 is a wasteful number, since it uses less digits than its factorization.

230054235406272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 399399714265 (or 399399714252 counting only the distinct ones).

The product of its (nonzero) digits is 2419200, while the sum is 45.

The spelling of 230054235406272 in words is "two hundred thirty trillion, fifty-four billion, two hundred thirty-five million, four hundred six thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 399399714247 798799428494 1198199142741 1597598856988 2396398285482 3195197713976 3594597428223 4792796570964 6390395427952 7189194856446 9585593141928 12780790855904 14378389712892 19171186283856 25561581711808 28756779425784 38342372567712 57513558851568 76684745135424 115027117703136 230054235406272