Search a number
-
+
14555142000 = 2432537711627
BaseRepresentation
bin11011000111000110…
…11101011101110000
31101120101001211020100
431203203131131300
5214302104021000
610404143112400
71023455444220
oct154343353560
941511054210
1014555142000
116199aa8683
1229a25a2700
1314ac62c979
149c1104080
155a2c3ea00
hex3638dd770

14555142000 has 480 divisors, whose sum is σ = 58953083904. Its totient is φ = 3278016000.

The previous prime is 14555141987. The next prime is 14555142047. The reversal of 14555142000 is 24155541.

14555142000 is a `hidden beast` number, since 1 + 455 + 5 + 1 + 4 + 200 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8945187 + ... + 8946813.

Almost surely, 214555142000 is an apocalyptic number.

14555142000 is a gapful number since it is divisible by the number (10) 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 14555142000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29476541952).

14555142000 is an abundant number, since it is smaller than the sum of its proper divisors (44397941904).

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

14555142000 is a wasteful number, since it uses less digits than its factorization.

14555142000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1734 (or 1715 counting only the distinct ones).

The product of its (nonzero) digits is 4000, while the sum is 27.

Adding to 14555142000 its reverse (24155541), we get a palindrome (14579297541).

The spelling of 14555142000 in words is "fourteen billion, five hundred fifty-five million, one hundred forty-two thousand".