Search a number
-
+
14356053162 = 232111391912731
BaseRepresentation
bin11010101111010111…
…11111110010101010
31101001111110001200200
431113223333302222
5213400122200122
610332312013030
71015520303253
oct152753776252
941044401620
1014356053162
1160a7688250
122947991176
13147a304319
149a28bbb2a
155905155ac
hex357affcaa

14356053162 has 96 divisors (see below), whose sum is σ = 34368122880. Its totient is φ = 4294836000.

The previous prime is 14356053157. The next prime is 14356053163. The reversal of 14356053162 is 26135065341.

14356053162 is a `hidden beast` number, since 1 + 4 + 3 + 5 + 60 + 531 + 62 = 666.

It is not an unprimeable number, because it can be changed into a prime (14356053163) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5255337 + ... + 5258067.

It is an arithmetic number, because the mean of its divisors is an integer number (358001280).

Almost surely, 214356053162 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14356053162, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17184061440).

14356053162 is an abundant number, since it is smaller than the sum of its proper divisors (20012069718).

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

14356053162 is a wasteful number, since it uses less digits than its factorization.

14356053162 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3080 (or 3077 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

The spelling of 14356053162 in words is "fourteen billion, three hundred fifty-six million, fifty-three thousand, one hundred sixty-two".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 139 191 198 278 382 417 573 834 1146 1251 1529 1719 2101 2502 2731 3058 3438 4202 4587 5462 6303 8193 9174 12606 13761 16386 18909 24579 26549 27522 30041 37818 49158 53098 60082 79647 90123 159294 180246 238941 270369 292039 379609 477882 521621 540738 584078 759218 876117 1043242 1138827 1564863 1752234 2277654 2628351 3129726 3416481 4175699 4694589 5256702 5737831 6832962 8351398 9389178 11475662 12527097 17213493 25054194 34426986 37581291 51640479 72505319 75162582 103280958 145010638 217515957 435031914 652547871 797558509 1305095742 1595117018 2392675527 4785351054 7178026581 14356053162