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424274585472424 = 231011505334882901
BaseRepresentation
bin110000001111000000001111…
…1111101000100110110101000
32001122020020212100102120201201
41200132000133331010312220
5421102303322340104144
64102205015342453544
7155236553513662321
oct14036003775046650
92048206770376651
10424274585472424
111132069287578a5
123b7033102942b4
1315297bca0956cb
1476aaddc8d7448
15340b5503781d4
hex181e01ff44da8

424274585472424 has 32 divisors (see below), whose sum is σ = 803444626263240. Its totient is φ = 210022964320000.

The previous prime is 424274585472401. The next prime is 424274585472427.

424274585472424 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 4 ways, for example, as 413106356700324 + 11168228772100 = 20325018^2 + 3341890^2 .

It is a super-2 number, since 2×4242745854724242 (a number of 30 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (424274585472427) 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, 5278627 + ... + 29604274.

Almost surely, 2424274585472424 is an apocalyptic number.

It is an amenable number.

424274585472424 is a deficient number, since it is larger than the sum of its proper divisors (379170040790816).

424274585472424 is a wasteful number, since it uses less digits than its factorization.

424274585472424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34898061 (or 34898057 counting only the distinct ones).

The product of its digits is 642252800, while the sum is 64.

The spelling of 424274585472424 in words is "four hundred twenty-four trillion, two hundred seventy-four billion, five hundred eighty-five million, four hundred seventy-two thousand, four hundred twenty-four".

Divisors: 1 2 4 8 101 202 404 808 15053 30106 60212 120424 1520353 3040706 6081412 12162824 34882901 69765802 139531604 279063208 3523173001 7046346002 14092692004 28185384008 525092308753 1050184617506 2100369235012 4200738470024 53034323184053 106068646368106 212137292736212 424274585472424