Search a number
-
+
344056484650443 = 31914211432399577
BaseRepresentation
bin100111000111010101110010…
…0100011001101110111001011
31200010012110220222101211211020
41032032223210203031313023
5330044010140032303233
63215425211140403523
7132320155266255135
oct11616534443156713
91603173828354736
10344056484650443
119a699599062054
12327085506a65a3
13119c9505b43096
1460d65cbcac055
1529b9a733489b3
hex138eae48cddcb

344056484650443 has 32 divisors (see below), whose sum is σ = 462276038234112. Its totient is φ = 227609944531200.

The previous prime is 344056484650433. The next prime is 344056484650453.

344056484650443 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (344056484650433) and next prime (344056484650453).

It is not a de Polignac number, because 344056484650443 - 236 = 343987765173707 is a prime.

It is not an unprimeable number, because it can be changed into a prime (344056484650423) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3455130471 + ... + 3455230047.

It is an arithmetic number, because the mean of its divisors is an integer number (14446126194816).

Almost surely, 2344056484650443 is an apocalyptic number.

344056484650443 is a deficient number, since it is larger than the sum of its proper divisors (118219553583669).

344056484650443 is a wasteful number, since it uses less digits than its factorization.

344056484650443 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114515.

The product of its (nonzero) digits is 265420800, while the sum is 60.

The spelling of 344056484650443 in words is "three hundred forty-four trillion, fifty-six billion, four hundred eighty-four million, six hundred fifty thousand, four hundred forty-three".

Divisors: 1 3 191 421 573 1263 14323 42969 80411 99577 241233 298731 2735693 6029983 8207079 18089949 19019207 41921917 57057621 125765751 1151726753 1426241371 3455180259 4278724113 8007086147 24021258441 272412101861 600447617191 817236305583 1801342851573 114685494883481 344056484650443