Search a number
-
+
14262054912 = 2123572389
BaseRepresentation
bin11010100100001010…
…11011000000000000
31100210221120110100000
431102011123000000
5213202041224122
610315113200000
71013266316010
oct152205330000
940727513300
1014262054912
116059615a46
122920400000
1314639b2561
1499420dc40
155871490ac
hex35215b000

14262054912 has 624 divisors, whose sum is σ = 51520734720. Its totient is φ = 3853910016.

The previous prime is 14262054901. The next prime is 14262054929. The reversal of 14262054912 is 21945026241.

It is a happy number.

14262054912 is a `hidden beast` number, since 1 + 42 + 62 + 0 + 549 + 12 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 160247764 + ... + 160247852.

It is an arithmetic number, because the mean of its divisors is an integer number (82565280).

Almost surely, 214262054912 is an apocalyptic number.

14262054912 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14262054912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25760367360).

14262054912 is an abundant number, since it is smaller than the sum of its proper divisors (37258679808).

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

14262054912 is an frugal number, since it uses more digits than its factorization.

14262054912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 14262054912 in words is "fourteen billion, two hundred sixty-two million, fifty-four thousand, nine hundred twelve".