Search a number
-
+
14423421324 = 22313294177761
BaseRepresentation
bin11010110111011001…
…11111000110001100
31101020012012201102210
431123230333012030
5214014343440244
610343115550420
71020266026014
oct153354770614
941205181383
1014423421324
116131710a14
12296645b410
13148b260c40
149ab816c44
155963c14b9
hex35bb3f18c

14423421324 has 96 divisors (see below), whose sum is σ = 38408207040. Its totient is φ = 4180377600.

The previous prime is 14423421323. The next prime is 14423421409. The reversal of 14423421324 is 42312432441.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 14423421291 and 14423421300.

It is not an unprimeable number, because it can be changed into a prime (14423421323) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 146604 + ... + 224364.

It is an arithmetic number, because the mean of its divisors is an integer number (400085490).

Almost surely, 214423421324 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14423421324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19204103520).

14423421324 is an abundant number, since it is smaller than the sum of its proper divisors (23984785716).

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

14423421324 is a wasteful number, since it uses less digits than its factorization.

14423421324 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77851 (or 77849 counting only the distinct ones).

The product of its digits is 18432, while the sum is 30.

Adding to 14423421324 its reverse (42312432441), we get a palindrome (56735853765).

The spelling of 14423421324 in words is "fourteen billion, four hundred twenty-three million, four hundred twenty-one thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 12 13 26 29 39 41 52 58 78 82 87 116 123 156 164 174 246 348 377 492 533 754 1066 1131 1189 1508 1599 2132 2262 2378 3198 3567 4524 4756 6396 7134 14268 15457 30914 46371 61828 77761 92742 155522 185484 233283 311044 466566 933132 1010893 2021786 2255069 3032679 3188201 4043572 4510138 6065358 6376402 6765207 9020276 9564603 12130716 12752804 13530414 19129206 27060828 29315897 38258412 41446613 58631794 82893226 87947691 92457829 117263588 124339839 165786452 175895382 184915658 248679678 277373487 351790764 369831316 497359356 554746974 1109493948 1201951777 2403903554 3605855331 4807807108 7211710662 14423421324