Search a number
-
+
4334414340114 = 232850128326173
BaseRepresentation
bin111111000100101111001…
…110100010000000010010
3120100100212210021100021200
4333010233032202000102
51032003340032340424
613115111421532030
7625102553666535
oct77045716420022
916310783240250
104334414340114
11142123a995a71
125a0056714016
1325596c7035b1
1410db02c98a1c
1577b34ab08c9
hex3f12f3a2012

4334414340114 has 24 divisors (see below), whose sum is σ = 9392336122572. Its totient is φ = 1444634772000.

The previous prime is 4334414340107. The next prime is 4334414340121. The reversal of 4334414340114 is 4110434144334.

4334414340114 is a `hidden beast` number, since 43 + 34 + 41 + 434 + 0 + 114 = 666.

It is an interprime number because it is at equal distance from previous prime (4334414340107) and next prime (4334414340121).

It can be written as a sum of positive squares in 2 ways, for example, as 4136411589489 + 198002750625 = 2033817^2 + 444975^2 .

It is an unprimeable number.

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, 14010069 + ... + 14316104.

Almost surely, 24334414340114 is an apocalyptic number.

4334414340114 is an abundant number, since it is smaller than the sum of its proper divisors (5057921782458).

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

4334414340114 is a wasteful number, since it uses less digits than its factorization.

4334414340114 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28334682 (or 28334679 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 36.

Adding to 4334414340114 its reverse (4110434144334), we get a palindrome (8444848484448).

The spelling of 4334414340114 in words is "four trillion, three hundred thirty-four billion, four hundred fourteen million, three hundred forty thousand, one hundred fourteen".

Divisors: 1 2 3 6 9 18 8501 17002 25503 51006 76509 153018 28326173 56652346 84978519 169957038 254935557 509871114 240800796673 481601593346 722402390019 1444804780038 2167207170057 4334414340114