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434332225053 = 322693594211187
BaseRepresentation
bin1100101001000000011…
…01111100111000011101
31112112002100201002220200
412110200031330320131
524104003022200203
6531310210534113
743244104666416
oct6244015747035
91475070632820
10434332225053
11158221244211
1270214b97339
1331c5a3c65cc
1417043b2280d
15b470a1e9a3
hex652037ce1d

434332225053 has 48 divisors (see below), whose sum is σ = 633488169600. Its totient is φ = 286749751680.

The previous prime is 434332225049. The next prime is 434332225111. The reversal of 434332225053 is 350522233434.

It is a happy number.

434332225053 is a `hidden beast` number, since 4 + 34 + 3 + 322 + 250 + 53 = 666.

It is not a de Polignac number, because 434332225053 - 22 = 434332225049 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 434332224999 and 434332225017.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (434332205053) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 365906926 + ... + 365908112.

It is an arithmetic number, because the mean of its divisors is an integer number (13197670200).

Almost surely, 2434332225053 is an apocalyptic number.

It is an amenable number.

434332225053 is a deficient number, since it is larger than the sum of its proper divisors (199155944547).

434332225053 is a wasteful number, since it uses less digits than its factorization.

434332225053 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2242 (or 2239 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 36.

Adding to 434332225053 its reverse (350522233434), we get a palindrome (784854458487).

The spelling of 434332225053 in words is "four hundred thirty-four billion, three hundred thirty-two million, two hundred twenty-five thousand, fifty-three".

Divisors: 1 3 9 269 359 421 807 1077 1187 1263 2421 3231 3561 3789 10683 96571 113249 151139 289713 319303 339747 426133 453417 499727 869139 957909 1019241 1278399 1360251 1499181 2873727 3835197 4497543 40656391 114629777 121969173 134426563 179401993 343889331 365907519 403279689 538205979 1031667993 1209839067 1614617937 48259136117 144777408351 434332225053