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4342444414120 = 235488922205177
BaseRepresentation
bin111111001100001101110…
…110110101010010101000
3120101010121102021100222001
4333030031312311102220
51032121311232222440
613122520314140344
7625505551334161
oct77141566652250
916333542240861
104342444414120
11142469073446a
125a1717a216b4
1325664c246287
14110265550768
1577e54a4bb9a
hex3f30ddb54a8

4342444414120 has 32 divisors (see below), whose sum is σ = 9772498837800. Its totient is φ = 1736622404608.

The previous prime is 4342444414109. The next prime is 4342444414129. The reversal of 4342444414120 is 214144442434.

It can be written as a sum of positive squares in 4 ways, for example, as 3489595858116 + 852848556004 = 1868046^2 + 923498^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 4342444414120.

It is not an unprimeable number, because it can be changed into a prime (4342444414129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10907029 + ... + 11298148.

Almost surely, 24342444414120 is an apocalyptic number.

4342444414120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4342444414120 is an abundant number, since it is smaller than the sum of its proper divisors (5430054423680).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

4342444414120 is a wasteful number, since it uses less digits than its factorization.

4342444414120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22210077 (or 22210073 counting only the distinct ones).

The product of its (nonzero) digits is 196608, while the sum is 37.

Adding to 4342444414120 its reverse (214144442434), we get a palindrome (4556588856554).

The spelling of 4342444414120 in words is "four trillion, three hundred forty-two billion, four hundred forty-four million, four hundred fourteen thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 4889 9778 19556 24445 39112 48890 97780 195560 22205177 44410354 88820708 111025885 177641416 222051770 444103540 888207080 108561110353 217122220706 434244441412 542805551765 868488882824 1085611103530 2171222207060 4342444414120