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4341442441434 = 237103367677177
BaseRepresentation
bin111111001011010010001…
…000100111000011011010
3120101001000120212212211120
4333023102020213003122
51032112233231111214
613122233042310110
7625441663606050
oct77132210470332
916331016785746
104341442441434
11142421709356a
125a1498358336
1325651c798227
141101ac44c1d0
1577de6acaea9
hex3f2d22270da

4341442441434 has 16 divisors (see below), whose sum is σ = 9923297009088. Its totient is φ = 1240412126112.

The previous prime is 4341442441433. The next prime is 4341442441507.

4341442441434 is nontrivially palindromic in base 10.

4341442441434 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (42), and also a Moran number because the ratio is a prime number: 103367677177 = 4341442441434 / (4 + 3 + 4 + 1 + 4 + 4 + 2 + 4 + 4 + 1 + 4 + 3 + 4).

It is not an unprimeable number, because it can be changed into a prime (4341442441433) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 51683838547 + ... + 51683838630.

It is an arithmetic number, because the mean of its divisors is an integer number (620206063068).

Almost surely, 24341442441434 is an apocalyptic number.

4341442441434 is an abundant number, since it is smaller than the sum of its proper divisors (5581854567654).

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

4341442441434 is a wasteful number, since it uses less digits than its factorization.

4341442441434 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103367677189.

The product of its digits is 1179648, while the sum is 42.

The spelling of 4341442441434 in words is "four trillion, three hundred forty-one billion, four hundred forty-two million, four hundred forty-one thousand, four hundred thirty-four".

Divisors: 1 2 3 6 7 14 21 42 103367677177 206735354354 310103031531 620206063062 723573740239 1447147480478 2170721220717 4341442441434