Search a number
-
+
14070679182 = 2337215493433
BaseRepresentation
bin11010001101010110…
…11000011010001110
31100022121110120012000
431012223120122032
5212304043213212
610244115253130
71005453541200
oct150653303216
940277416160
1014070679182
115a7059358a
1228882aa1a6
131433157891
14976a34770
155754451dc
hex346ad868e

14070679182 has 96 divisors (see below), whose sum is σ = 36407268000. Its totient is φ = 4016428416.

The previous prime is 14070679081. The next prime is 14070679213. The reversal of 14070679182 is 28197607041.

It is a happy number.

14070679182 is a `hidden beast` number, since 1 + 407 + 0 + 67 + 9 + 182 = 666.

14070679182 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 4096938 + ... + 4100370.

It is an arithmetic number, because the mean of its divisors is an integer number (379242375).

Almost surely, 214070679182 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14070679182, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18203634000).

14070679182 is an abundant number, since it is smaller than the sum of its proper divisors (22336588818).

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

14070679182 is a wasteful number, since it uses less digits than its factorization.

14070679182 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5007 (or 4994 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 45.

The spelling of 14070679182 in words is "fourteen billion, seventy million, six hundred seventy-nine thousand, one hundred eighty-two".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 49 54 63 98 126 147 189 294 378 441 882 1323 1549 2646 3098 3433 4647 6866 9294 10299 10843 13941 20598 21686 24031 27882 30897 32529 41823 48062 61794 65058 72093 75901 83646 92691 97587 144186 151802 168217 185382 195174 216279 227703 292761 336434 432558 455406 504651 585522 648837 683109 1009302 1297674 1366218 1513953 2049327 3027906 4098654 4541859 5317717 9083718 10635434 15953151 31906302 37224019 47859453 74448038 95718906 111672057 143578359 223344114 260568133 287156718 335016171 521136266 670032342 781704399 1005048513 1563408798 2010097026 2345113197 4690226394 7035339591 14070679182