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241214314033 = 71123136202323
BaseRepresentation
bin1110000010100101111…
…1100101011000110001
3212001121122021202200201
43200221133211120301
512423001331022113
6302451243515201
723266341560650
oct3405137453061
9761548252621
10241214314033
1193331212360
123a8ba228b01
1319991b38244
14b963a67197
15641b872cdd
hex38297e5631

241214314033 has 16 divisors (see below), whose sum is σ = 313810154496. Its totient is φ = 179787065040.

The previous prime is 241214314027. The next prime is 241214314039. The reversal of 241214314033 is 330413412142.

It is a happy number.

241214314033 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (241214314027) and next prime (241214314039).

It is not a de Polignac number, because 241214314033 - 213 = 241214305841 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 241214313992 and 241214314010.

It is not an unprimeable number, because it can be changed into a prime (241214314039) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 68099391 + ... + 68102932.

It is an arithmetic number, because the mean of its divisors is an integer number (19613134656).

Almost surely, 2241214314033 is an apocalyptic number.

241214314033 is a gapful number since it is divisible by the number (23) formed by its first and last digit.

It is an amenable number.

241214314033 is a deficient number, since it is larger than the sum of its proper divisors (72595840463).

241214314033 is a wasteful number, since it uses less digits than its factorization.

241214314033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136202364.

The product of its (nonzero) digits is 6912, while the sum is 28.

Adding to 241214314033 its reverse (330413412142), we get a palindrome (571627726175).

The spelling of 241214314033 in words is "two hundred forty-one billion, two hundred fourteen million, three hundred fourteen thousand, thirty-three".

Divisors: 1 7 11 23 77 161 253 1771 136202323 953416261 1498225553 3132653429 10487578871 21928574003 34459187719 241214314033