Search a number
-
+
114420033 = 3471319243
BaseRepresentation
bin1101101000111…
…10100101000001
321222022010210000
412310132211001
5213242420113
615204230213
72556361050
oct664364501
9258263700
10114420033
1159650512
123239b369
131a922180
14112a6397
15a0a2373
hex6d1e941

114420033 has 120 divisors (see below), whose sum is σ = 227185728. Its totient is φ = 55847232.

The previous prime is 114420001. The next prime is 114420037. The reversal of 114420033 is 330024411.

It is not a de Polignac number, because 114420033 - 25 = 114420001 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 114419988 and 114420015.

It is not an unprimeable number, because it can be changed into a prime (114420037) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 2660910 + ... + 2660952.

Almost surely, 2114420033 is an apocalyptic number.

114420033 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

114420033 is a deficient number, since it is larger than the sum of its proper divisors (112765695).

114420033 is a wasteful number, since it uses less digits than its factorization.

114420033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113 (or 85 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 114420033 is about 10696.7300143549. The cubic root of 114420033 is about 485.4755430715.

Adding to 114420033 its reverse (330024411), we get a palindrome (444444444).

The spelling of 114420033 in words is "one hundred fourteen million, four hundred twenty thousand, thirty-three".

Divisors: 1 3 7 9 13 19 21 27 39 43 57 63 81 91 117 129 133 171 189 247 273 301 351 361 387 399 513 559 567 741 817 819 903 1053 1083 1161 1197 1539 1677 1729 2223 2451 2457 2527 2709 3249 3483 3591 3913 4693 5031 5187 5719 6669 7353 7371 7581 8127 9747 10621 10773 11739 14079 15093 15523 15561 17157 20007 22059 22743 24381 29241 31863 32851 35217 42237 45279 46569 46683 51471 66177 68229 74347 95589 98553 105651 108661 126711 139707 140049 154413 201799 204687 223041 286767 295659 316953 325983 380133 419121 463239 605397 669123 860301 886977 977949 1257363 1412593 1816191 2007369 2660931 2933847 4237779 5448573 6022107 8801541 12713337 16345719 38140011 114420033