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434131502422144 = 276973514863623
BaseRepresentation
bin110001010110101110001110…
…1111111001101100010000000
32002221010120021211122202220111
41202231130131333031202000
5423400302304110002034
64135153131533321104
7160304652223435552
oct14255343577154200
92087116254582814
10434131502422144
1111636715537243a
1240835715936194
131583156a9b9b27
14792c110b734d2
15352cb53a9d364
hex18ad71dfcd880

434131502422144 has 32 divisors (see below), whose sum is σ = 864872770530240. Its totient is φ = 217065395308800.

The previous prime is 434131502422141. The next prime is 434131502422157. The reversal of 434131502422144 is 441224205131434.

It is a tau number, because it is divible by the number of its divisors (32).

It is a super-2 number, since 2×4341315024221442 (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 434131502422097 and 434131502422106.

It is not an unprimeable number, because it can be changed into a prime (434131502422141) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 86829117 + ... + 91692739.

It is an arithmetic number, because the mean of its divisors is an integer number (27027274079070).

Almost surely, 2434131502422144 is an apocalyptic number.

It is an amenable number.

434131502422144 is a deficient number, since it is larger than the sum of its proper divisors (430741268108096).

434131502422144 is an equidigital number, since it uses as much as digits as its factorization.

434131502422144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5560988 (or 5560976 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 40.

Adding to 434131502422144 its reverse (441224205131434), we get a palindrome (875355707553578).

The spelling of 434131502422144 in words is "four hundred thirty-four trillion, one hundred thirty-one billion, five hundred two million, four hundred twenty-two thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 32 64 128 697351 1394702 2789404 4863623 5578808 9727246 11157616 19454492 22315232 38908984 44630464 77817968 89260928 155635936 311271872 622543744 3391652362673 6783304725346 13566609450692 27133218901384 54266437802768 108532875605536 217065751211072 434131502422144