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241256420613 = 321310923418081
BaseRepresentation
bin1110000010110000000…
…0001101010100000101
3212001201120112000001200
43200230000031110011
512423043120424423
6302455350213113
723300362511445
oct3405400152405
9761646460050
10241256420613
1193352a6168a
123a910354199
131999a78b890
14b9694a8125
1564203ddd43
hex382c00d505

241256420613 has 48 divisors (see below), whose sum is σ = 378939440880. Its totient is φ = 147022387200.

The previous prime is 241256420513. The next prime is 241256420641. The reversal of 241256420613 is 316024652142.

241256420613 is a `hidden beast` number, since 2 + 4 + 1 + 2 + 5 + 642 + 0 + 6 + 1 + 3 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 2285031204 + 238971389409 = 47802^2 + 488847^2 .

It is not a de Polignac number, because 241256420613 - 28 = 241256420357 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (241256420653) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 29850733 + ... + 29858813.

It is an arithmetic number, because the mean of its divisors is an integer number (7894571685).

Almost surely, 2241256420613 is an apocalyptic number.

It is an amenable number.

241256420613 is a deficient number, since it is larger than the sum of its proper divisors (137683020267).

241256420613 is a wasteful number, since it uses less digits than its factorization.

241256420613 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10550 (or 10547 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The spelling of 241256420613 in words is "two hundred forty-one billion, two hundred fifty-six million, four hundred twenty thousand, six hundred thirteen".

Divisors: 1 3 9 13 39 109 117 327 981 1417 2341 4251 7023 8081 12753 21069 24243 30433 72729 91299 105053 255169 273897 315159 765507 880829 945477 2296521 2642487 3317197 7927461 9951591 11450777 18917621 29854773 34352331 56752863 103056993 170258589 245929073 737787219 2062020689 2213361657 6186062067 18558186201 26806268957 80418806871 241256420613