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1422434342241 = 321121621805789
BaseRepresentation
bin10100101100101111101…
…100011001010101100001
312000222112220011110111100
4110230233230121111201
5141301121142422431
63005242440305013
7204524151262443
oct24545754312541
95028486143440
101422434342241
114a9284115700
121ab816472169
13a419a7329b3
144cbbbd30493
15270029874e6
hex14b2fb19561

1422434342241 has 36 divisors (see below), whose sum is σ = 2259788096020. Its totient is φ = 861548529600.

The previous prime is 1422434342159. The next prime is 1422434342261.

1422434342241 is a `hidden beast` number, since 1 + 4 + 224 + 3 + 4 + 3 + 422 + 4 + 1 = 666.

1422434342241 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 2 ways, for example, as 1225050512400 + 197383829841 = 1106820^2 + 444279^2 .

It is not a de Polignac number, because 1422434342241 - 211 = 1422434340193 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1422434342196 and 1422434342205.

It is not an unprimeable number, because it can be changed into a prime (1422434342261) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1362375 + ... + 2168163.

Almost surely, 21422434342241 is an apocalyptic number.

1422434342241 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1422434342241 is a deficient number, since it is larger than the sum of its proper divisors (837353753779).

1422434342241 is a wasteful number, since it uses less digits than its factorization.

1422434342241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 807438 (or 807424 counting only the distinct ones).

The product of its digits is 147456, while the sum is 36.

The spelling of 1422434342241 in words is "one trillion, four hundred twenty-two billion, four hundred thirty-four million, three hundred forty-two thousand, two hundred forty-one".

Divisors: 1 3 9 11 33 99 121 363 1089 1621 4863 14589 17831 53493 160479 196141 588423 805789 1765269 2417367 7252101 8863679 26591037 79773111 97500469 292501407 877504221 1306183969 3918551907 11755655721 14368023659 43104070977 129312212931 158048260249 474144780747 1422434342241