Search a number
-
+
426053232241 = 71389181509571
BaseRepresentation
bin1100011001100101100…
…00000110011001110001
31111201201101022200211021
412030302300012121301
523440024111412431
6523420503215441
742531665502220
oct6146260063161
91451641280737
10426053232241
11154762a4039a
126a6a4447581
133123b12c3b0
141689a392cb7
15b138cb4b11
hex6332c06671

426053232241 has 64 divisors (see below), whose sum is σ = 535177843200. Its totient is φ = 330237388800.

The previous prime is 426053232217. The next prime is 426053232257. The reversal of 426053232241 is 142232350624.

It is a cyclic number.

It is not a de Polignac number, because 426053232241 - 211 = 426053230193 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 426053232197 and 426053232206.

It is not an unprimeable number, because it can be changed into a prime (426053232541) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 746152486 + ... + 746153056.

It is an arithmetic number, because the mean of its divisors is an integer number (8362153800).

Almost surely, 2426053232241 is an apocalyptic number.

It is an amenable number.

426053232241 is a deficient number, since it is larger than the sum of its proper divisors (109124610959).

426053232241 is a wasteful number, since it uses less digits than its factorization.

426053232241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1370.

The product of its (nonzero) digits is 69120, while the sum is 34.

Adding to 426053232241 its reverse (142232350624), we get a palindrome (568285582865).

The spelling of 426053232241 in words is "four hundred twenty-six billion, fifty-three million, two hundred thirty-two thousand, two hundred forty-one".

Divisors: 1 7 13 89 91 181 509 571 623 1157 1267 2353 3563 3997 6617 7423 8099 16109 16471 45301 46319 50819 51961 92129 103351 112763 209417 290639 317107 355733 588913 644903 660647 723457 1197677 1343563 1465919 2034473 3778307 4122391 4624529 8199481 8383739 9198239 9404941 25866871 26448149 52605659 57396367 64387673 106593253 119577107 181068097 336269323 368239613 683873567 746152771 837039749 2353885261 4681903651 4787114969 32773325557 60864747463 426053232241