Search a number
-
+
14052302118 = 2332979971171
BaseRepresentation
bin11010001011001010…
…10001110100100110
31100021022212220121000
431011211101310212
5212234342131433
610242221334130
71005141411561
oct150545216446
940238786530
1014052302118
115a61181628
122882107346
13142c3c208a
1497440d4d8
15573a15113
hex345951d26

14052302118 has 128 divisors (see below), whose sum is σ = 33078528000. Its totient is φ = 4415523840.

The previous prime is 14052301981. The next prime is 14052302123. The reversal of 14052302118 is 81120325041.

14052302118 is a `hidden beast` number, since 1 + 405 + 230 + 21 + 1 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 14052302091 and 14052302100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 11999673 + ... + 12000843.

It is an arithmetic number, because the mean of its divisors is an integer number (258426000).

Almost surely, 214052302118 is an apocalyptic number.

14052302118 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 14052302118, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16539264000).

14052302118 is an abundant number, since it is smaller than the sum of its proper divisors (19026225882).

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

14052302118 is a wasteful number, since it uses less digits than its factorization.

14052302118 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1387 (or 1381 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

Adding to 14052302118 its reverse (81120325041), we get a palindrome (95172627159).

The spelling of 14052302118 in words is "fourteen billion, fifty-two million, three hundred two thousand, one hundred eighteen".

Divisors: 1 2 3 6 9 18 27 29 54 58 79 87 97 158 174 194 237 261 291 474 522 582 711 783 873 1171 1422 1566 1746 2133 2291 2342 2619 2813 3513 4266 4582 5238 5626 6873 7026 7663 8439 10539 13746 15326 16878 20619 21078 22989 25317 31617 33959 41238 45978 50634 61857 63234 67918 68967 75951 92509 101877 113587 123714 137934 151902 185018 203754 206901 222227 227174 277527 305631 340761 413802 444454 555054 611262 666681 681522 832581 916893 1022283 1333362 1665162 1833786 2000043 2044566 2497743 2682761 3066849 3294023 4000086 4995486 5365522 6000129 6133698 6588046 8048283 8973373 9882069 12000258 16096566 17946746 19764138 24144849 26920119 29646207 48289698 53840238 59292414 72434547 80760357 88938621 144869094 161520714 177877242 242281071 260227817 484562142 520455634 780683451 1561366902 2342050353 4684100706 7026151059 14052302118