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42224413401 = 331563867163
BaseRepresentation
bin100111010100110001…
…010110101011011001
311000222200200110001000
4213110301112223121
51142433422212101
631221515415213
73023234410032
oct472461265331
9130880613030
1042224413401
11169a8642825
128224a54509
133c9bb81101
142087ba1a89
151171e27486
hex9d4c56ad9

42224413401 has 8 divisors (see below), whose sum is σ = 62554686560. Its totient is φ = 28149608916.

The previous prime is 42224413373. The next prime is 42224413417. The reversal of 42224413401 is 10431442224.

42224413401 is a `hidden beast` number, since 4 + 2 + 2 + 244 + 13 + 401 = 666.

It is not a de Polignac number, because 42224413401 - 25 = 42224413369 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27), and also a Moran number because the ratio is a prime number: 1563867163 = 42224413401 / (4 + 2 + 2 + 2 + 4 + 4 + 1 + 3 + 4 + 0 + 1).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (42224413421) 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 7 ways as a sum of consecutive naturals, for example, 781933555 + ... + 781933608.

It is an arithmetic number, because the mean of its divisors is an integer number (7819335820).

Almost surely, 242224413401 is an apocalyptic number.

It is an amenable number.

42224413401 is a deficient number, since it is larger than the sum of its proper divisors (20330273159).

42224413401 is a wasteful number, since it uses less digits than its factorization.

42224413401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1563867172 (or 1563867166 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 42224413401 its reverse (10431442224), we get a palindrome (52655855625).

It can be divided in two parts, 42224 and 413401, that added together give a square (455625 = 6752).

The spelling of 42224413401 in words is "forty-two billion, two hundred twenty-four million, four hundred thirteen thousand, four hundred one".

Divisors: 1 3 9 27 1563867163 4691601489 14074804467 42224413401