Search a number
-
+
114220314234 = 2321319169915121
BaseRepresentation
bin110101001100000001…
…1111010111001111010
3101220211012200011010200
41222120003322321322
53332410400023414
6124245545423030
711152325436405
oct1523003727172
9356735604120
10114220314234
1144493431714
121a17819aa76
13aa03969070
1457578c6d3c
152e8788b109
hex1a980fae7a

114220314234 has 96 divisors (see below), whose sum is σ = 280724808000. Its totient is φ = 33273192960.

The previous prime is 114220314217. The next prime is 114220314239. The reversal of 114220314234 is 432413022411.

114220314234 is a `hidden beast` number, since 1 + 1 + 422 + 0 + 3 + 1 + 4 + 234 = 666.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 114220314198 and 114220314207.

It is not an unprimeable number, because it can be changed into a prime (114220314239) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7546194 + ... + 7561314.

It is an arithmetic number, because the mean of its divisors is an integer number (2924216750).

Almost surely, 2114220314234 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 114220314234, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140362404000).

114220314234 is an abundant number, since it is smaller than the sum of its proper divisors (166504493766).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

114220314234 is a wasteful number, since it uses less digits than its factorization.

114220314234 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16860 (or 16857 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 114220314234 its reverse (432413022411), we get a palindrome (546633336645).

The spelling of 114220314234 in words is "one hundred fourteen billion, two hundred twenty million, three hundred fourteen thousand, two hundred thirty-four".

Divisors: 1 2 3 6 9 13 18 19 26 38 39 57 78 114 117 171 234 247 342 494 741 1482 1699 2223 3398 4446 5097 10194 15121 15291 22087 30242 30582 32281 44174 45363 64562 66261 90726 96843 132522 136089 193686 196573 198783 272178 287299 290529 393146 397566 419653 574598 581058 589719 839306 861897 1179438 1258959 1723794 1769157 2517918 2585691 3538314 3734887 3776877 5171382 7469774 7553754 11204661 22409322 25690579 33613983 51381158 67227966 77071737 154143474 231215211 333977527 462430422 488121001 667955054 976242002 1001932581 1464363003 2003865162 2928726006 3005797743 4393089009 6011595486 6345573013 8786178018 12691146026 19036719039 38073438078 57110157117 114220314234