Search a number
-
+
4422140314431 = 37230082587173
BaseRepresentation
bin100000001011001110000…
…0110100100001100111111
3120122202022120011120121120
41000112130012210030333
51034423020410030211
613223300410002023
7634326521322600
oct100263406441477
916582276146546
104422140314431
111455467a16994
125b5059a16313
13261010376238
14114065b69da7
157a06b49bd06
hex4059c1a433f

4422140314431 has 12 divisors (see below), whose sum is σ = 6858829875672. Its totient is φ = 2526937322448.

The previous prime is 4422140314411. The next prime is 4422140314441. The reversal of 4422140314431 is 1344130412244.

It is a happy number.

It is not a de Polignac number, because 4422140314431 - 26 = 4422140314367 is a prime.

It is a super-2 number, since 2×44221403144312 (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 4422140314392 and 4422140314401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4422140314411) 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 11 ways as a sum of consecutive naturals, for example, 15041293440 + ... + 15041293733.

It is an arithmetic number, because the mean of its divisors is an integer number (571569156306).

Almost surely, 24422140314431 is an apocalyptic number.

4422140314431 is a deficient number, since it is larger than the sum of its proper divisors (2436689561241).

4422140314431 is a wasteful number, since it uses less digits than its factorization.

4422140314431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30082587190 (or 30082587183 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 33.

Adding to 4422140314431 its reverse (1344130412244), we get a palindrome (5766270726675).

The spelling of 4422140314431 in words is "four trillion, four hundred twenty-two billion, one hundred forty million, three hundred fourteen thousand, four hundred thirty-one".

Divisors: 1 3 7 21 49 147 30082587173 90247761519 210578110211 631734330633 1474046771477 4422140314431