Search a number
-
+
14278683112 = 23172149181229
BaseRepresentation
bin11010100110001001…
…10110100111101000
31100212002212020221021
431103010312213220
5213220320324422
610320505422224
71013560542511
oct152304664750
940762766837
1014278683112
116067a42a61
122925a9a974
131467285025
149964dba08
15588830dc7
hex3531369e8

14278683112 has 96 divisors (see below), whose sum is σ = 28914795000. Its totient is φ = 6608424960.

The previous prime is 14278683109. The next prime is 14278683119. The reversal of 14278683112 is 21138687241.

14278683112 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 12 ways, for example, as 2065338916 + 12213344196 = 45446^2 + 110514^2 .

It is not an unprimeable number, because it can be changed into a prime (14278683119) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 62352214 + ... + 62352442.

Almost surely, 214278683112 is an apocalyptic number.

It is an amenable number.

14278683112 is an abundant number, since it is smaller than the sum of its proper divisors (14636111888).

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

14278683112 is a wasteful number, since it uses less digits than its factorization.

14278683112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 599 (or 578 counting only the distinct ones).

The product of its digits is 129024, while the sum is 43.

The spelling of 14278683112 in words is "fourteen billion, two hundred seventy-eight million, six hundred eighty-three thousand, one hundred twelve".

Divisors: 1 2 4 8 17 34 68 136 149 181 229 289 298 362 458 578 596 724 916 1156 1192 1448 1832 2312 2533 3077 3893 5066 6154 7786 10132 12308 15572 20264 24616 26969 31144 34121 41449 43061 52309 53938 66181 68242 82898 86122 104618 107876 132362 136484 165796 172244 209236 215752 264724 272968 331592 344488 418472 458473 529448 580057 704633 916946 1160114 1409266 1833892 2320228 2818532 3667784 4640456 5637064 6175901 7794041 9860969 11978761 12351802 15588082 19721938 23957522 24703604 31176164 39443876 47915044 49407208 62352328 78887752 95830088 104990317 209980634 419961268 839922536 1784835389 3569670778 7139341556 14278683112