Search a number
-
+
14914208088 = 23321321225691
BaseRepresentation
bin11011110001111010…
…01100000101011000
31102111101201021022100
431320331030011120
5221021014124323
610503531123400
71035405451143
oct157075140530
942441637270
1014914208088
11636375530a
122a828a3560
131538b3b600
14a16a9105a
155c4519943
hex378f4c158

14914208088 has 72 divisors (see below), whose sum is σ = 43738819020. Its totient is φ = 4588983360.

The previous prime is 14914208087. The next prime is 14914208117. The reversal of 14914208088 is 88080241941.

14914208088 is a `hidden beast` number, since 1 + 491 + 4 + 2 + 0 + 80 + 88 = 666.

14914208088 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14914208081) 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 17 ways as a sum of consecutive naturals, for example, 600678 + ... + 625013.

Almost surely, 214914208088 is an apocalyptic number.

14914208088 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

14914208088 is an abundant number, since it is smaller than the sum of its proper divisors (28824610932).

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

14914208088 is a wasteful number, since it uses less digits than its factorization.

14914208088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1225729 (or 1225709 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 45.

The spelling of 14914208088 in words is "fourteen billion, nine hundred fourteen million, two hundred eight thousand, eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 36 39 52 72 78 104 117 156 169 234 312 338 468 507 676 936 1014 1352 1521 2028 3042 4056 6084 12168 1225691 2451382 3677073 4902764 7354146 9805528 11031219 14708292 15933983 22062438 29416584 31867966 44124876 47801949 63735932 88249752 95603898 127471864 143405847 191207796 207141779 286811694 382415592 414283558 573623388 621425337 828567116 1147246776 1242850674 1657134232 1864276011 2485701348 3728552022 4971402696 7457104044 14914208088