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241220200414401 = 32132239920817827
BaseRepresentation
bin110110110110001101110100…
…010110111011110011000001
31011122002102111111220112222200
4312312031310112323303001
5223104122432301230101
62213011010311223413
7101544404302642665
oct6666156426736301
91148072444815880
10241220200414401
116a950a0459986a
122307a111077b69
13a479c761b9a70
14437d19739c8a5
151cd4a570ee986
hexdb63745bbcc1

241220200414401 has 24 divisors (see below), whose sum is σ = 375399012119040. Its totient is φ = 148376901210336.

The previous prime is 241220200414393. The next prime is 241220200414619. The reversal of 241220200414401 is 104414002022142.

241220200414401 is a `hidden beast` number, since 2 + 4 + 1 + 2 + 2 + 0 + 200 + 414 + 40 + 1 = 666.

It is not a de Polignac number, because 241220200414401 - 23 = 241220200414393 is a prime.

It is not an unprimeable number, because it can be changed into a prime (241220200414301) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 460146951 + ... + 460670876.

It is an arithmetic number, because the mean of its divisors is an integer number (15641625504960).

Almost surely, 2241220200414401 is an apocalyptic number.

It is an amenable number.

241220200414401 is a deficient number, since it is larger than the sum of its proper divisors (134178811704639).

241220200414401 is a wasteful number, since it uses less digits than its factorization.

241220200414401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 920820085 (or 920820082 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 27.

Adding to 241220200414401 its reverse (104414002022142), we get a palindrome (345634202436543).

The spelling of 241220200414401 in words is "two hundred forty-one trillion, two hundred twenty billion, two hundred million, four hundred fourteen thousand, four hundred one".

Divisors: 1 3 9 13 39 117 2239 6717 20151 29107 87321 261963 920817827 2762453481 8287360443 11970631751 35911895253 107735685759 2061711114653 6185133343959 18555400031877 26802244490489 80406733471467 241220200414401