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314422214301 = 321324533109541
BaseRepresentation
bin1001001001101010000…
…01100011111010011101
31010001120121212102110100
410210311001203322131
520122414041324201
6400235451131313
731500450503346
oct4446501437235
91101517772410
10314422214301
11111389163378
1250b2b443b39
132385aa59320
141130a7230cd
1582a38e2886
hex4935063e9d

314422214301 has 24 divisors (see below), whose sum is σ = 489125623896. Its totient is φ = 193480940160.

The previous prime is 314422214297. The next prime is 314422214347. The reversal of 314422214301 is 103412224413.

314422214301 is a `hidden beast` number, since 3 + 1 + 4 + 4 + 2 + 221 + 430 + 1 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 36223986276 + 278198228025 = 190326^2 + 527445^2 .

It is not a de Polignac number, because 314422214301 - 22 = 314422214297 is a prime.

It is a super-2 number, since 2×3144222143012 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (314422218301) 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 23 ways as a sum of consecutive naturals, for example, 2815591 + ... + 2925131.

It is an arithmetic number, because the mean of its divisors is an integer number (20380234329).

Almost surely, 2314422214301 is an apocalyptic number.

It is an amenable number.

314422214301 is a deficient number, since it is larger than the sum of its proper divisors (174703409595).

314422214301 is a wasteful number, since it uses less digits than its factorization.

314422214301 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134093 (or 134090 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 314422214301 its reverse (103412224413), we get a palindrome (417834438714).

The spelling of 314422214301 in words is "three hundred fourteen billion, four hundred twenty-two million, two hundred fourteen thousand, three hundred one".

Divisors: 1 3 9 13 39 117 24533 73599 109541 220797 318929 328623 956787 985869 1424033 2870361 4272099 12816297 2687369353 8062108059 24186324177 34935801589 104807404767 314422214301