Search a number
-
+
14014280358 = 23213372336947
BaseRepresentation
bin11010000110101000…
…01111001010100110
31100011200100012112200
431003110033022212
5212200123432413
610234342355330
71004200263141
oct150324171246
940150305480
1014014280358
115a41772291
12287142bb46
13142456bab0
1496d353058
15570504573
hex34350f2a6

14014280358 has 96 divisors (see below), whose sum is σ = 33732762336. Its totient is φ = 4176935424.

The previous prime is 14014280353. The next prime is 14014280393. The reversal of 14014280358 is 85308241041.

14014280358 is a `hidden beast` number, since 14 + 0 + 14 + 280 + 358 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14014280353) 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, 2013841 + ... + 2020787.

It is an arithmetic number, because the mean of its divisors is an integer number (351382941).

Almost surely, 214014280358 is an apocalyptic number.

14014280358 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 14014280358, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16866381168).

14014280358 is an abundant number, since it is smaller than the sum of its proper divisors (19718481978).

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

14014280358 is a wasteful number, since it uses less digits than its factorization.

14014280358 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7238 (or 7235 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The spelling of 14014280358 in words is "fourteen billion, fourteen million, two hundred eighty thousand, three hundred fifty-eight".

Divisors: 1 2 3 6 9 13 18 26 37 39 74 78 111 117 222 233 234 333 466 481 666 699 962 1398 1443 2097 2886 3029 4194 4329 6058 6947 8621 8658 9087 13894 17242 18174 20841 25863 27261 41682 51726 54522 62523 77589 90311 112073 125046 155178 180622 224146 257039 270933 336219 514078 541866 672438 771117 812799 1008657 1542234 1618651 1625598 2017314 2313351 3237302 3341507 4626702 4855953 6683014 9711906 10024521 14567859 20049042 21042463 29135718 30073563 42084926 59890087 60147126 63127389 119780174 126254778 179670261 189382167 359340522 378764334 539010783 778571131 1078021566 1557142262 2335713393 4671426786 7007140179 14014280358