Search a number
-
+
14133442032 = 243367488303
BaseRepresentation
bin11010010100110101…
…10011010111110000
31100110222120020122000
431022122303113300
5212421130121112
610254240414000
71010145163233
oct151232632760
940428506560
1014133442032
115aa2a61206
1228a5317300
131443161268
149810d141a
1557abe17dc
hex34a6b35f0

14133442032 has 80 divisors (see below), whose sum is σ = 41173793280. Its totient is φ = 4640822208.

The previous prime is 14133442027. The next prime is 14133442061. The reversal of 14133442032 is 23024433141.

14133442032 is a `hidden beast` number, since 1 + 413 + 3 + 44 + 203 + 2 = 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 = 14133441987 and 14133442005.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 215208 + ... + 273095.

It is an arithmetic number, because the mean of its divisors is an integer number (514672416).

Almost surely, 214133442032 is an apocalyptic number.

14133442032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

14133442032 is an abundant number, since it is smaller than the sum of its proper divisors (27040351248).

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

14133442032 is a wasteful number, since it uses less digits than its factorization.

14133442032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 488387 (or 488375 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 14133442032 its reverse (23024433141), we get a palindrome (37157875173).

The spelling of 14133442032 in words is "fourteen billion, one hundred thirty-three million, four hundred forty-two thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 67 72 108 134 144 201 216 268 402 432 536 603 804 1072 1206 1608 1809 2412 3216 3618 4824 7236 9648 14472 28944 488303 976606 1464909 1953212 2929818 3906424 4394727 5859636 7812848 8789454 11719272 13184181 17578908 23438544 26368362 32716301 35157816 52736724 65432602 70315632 98148903 105473448 130865204 196297806 210946896 261730408 294446709 392595612 523460816 588893418 785191224 883340127 1177786836 1570382448 1766680254 2355573672 3533360508 4711147344 7066721016 14133442032