Search a number
-
+
11214042455466 = 2351929197212573
BaseRepresentation
bin1010001100101111100100…
…0001000101110110101010
31110201001101220022000100000
42203023321001011312222
52432212324332033331
635503354320123430
72235121266061614
oct243137101056652
943631356260300
1011214042455466
113633937686804
121311434166576
13634630a98476
142aaa96621db4
15146a8284b0e6
hexa32f9045daa

11214042455466 has 192 divisors, whose sum is σ = 27577139990400. Its totient is φ = 3401791416576.

The previous prime is 11214042455453. The next prime is 11214042455537. The reversal of 11214042455466 is 66455424041211.

11214042455466 is a `hidden beast` number, since 1 + 1 + 2 + 14 + 0 + 4 + 24 + 554 + 66 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 52647556 + ... + 52860128.

It is an arithmetic number, because the mean of its divisors is an integer number (143630937450).

Almost surely, 211214042455466 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11214042455466, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13788569995200).

11214042455466 is an abundant number, since it is smaller than the sum of its proper divisors (16363097534934).

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

11214042455466 is a wasteful number, since it uses less digits than its factorization.

11214042455466 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 212835 (or 212823 counting only the distinct ones).

The product of its (nonzero) digits is 921600, while the sum is 45.

Adding to 11214042455466 its reverse (66455424041211), we get a palindrome (77669466496677).

The spelling of 11214042455466 in words is "eleven trillion, two hundred fourteen billion, forty-two million, four hundred fifty-five thousand, four hundred sixty-six".