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241587344401 = 13137827164023
BaseRepresentation
bin1110000011111110111…
…0100101010000010001
3212002120122012200011021
43200333232211100101
512424232330010101
6302552251115441
723311521355024
oct3407756452021
9762518180137
10241587344401
1193502837617
123a9a3142b81
1319a211c5c80
14b99b40b1bb
15643e4aa5a1
hex383fba5411

241587344401 has 16 divisors (see below), whose sum is σ = 262388536704. Its totient is φ = 221106904704.

The previous prime is 241587344399. The next prime is 241587344417. The reversal of 241587344401 is 104443785142.

241587344401 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 241587344401 - 21 = 241587344399 is a prime.

It is a super-3 number, since 3×2415873444013 (a number of 35 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (241587344461) 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, 1390876 + ... + 1554898.

It is an arithmetic number, because the mean of its divisors is an integer number (16399283544).

Almost surely, 2241587344401 is an apocalyptic number.

It is an amenable number.

241587344401 is a deficient number, since it is larger than the sum of its proper divisors (20801192303).

241587344401 is a wasteful number, since it uses less digits than its factorization.

241587344401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165000.

The product of its (nonzero) digits is 430080, while the sum is 43.

The spelling of 241587344401 in words is "two hundred forty-one billion, five hundred eighty-seven million, three hundred forty-four thousand, four hundred one".

Divisors: 1 13 137 827 1781 10751 113299 164023 1472887 2132299 22471151 135647021 292124963 1763411273 18583641877 241587344401