Search a number
-
+
14783223018960 = 2435511372278231
BaseRepresentation
bin1101011100011111110011…
…0000011011010111010000
31221100021002020012202100000
43113013330300123113100
53414202020043101320
651235152514330000
73054024022230324
oct327077460332720
957307066182300
1014783223018960
11478a590aa61a0
1217a9107589900
1383308a193ab6
143917245a9984
151a982b3bcc90
hexd71fcc1b5d0

14783223018960 has 960 divisors, whose sum is σ = 57945455253504. Its totient is φ = 3471169075200.

The previous prime is 14783223018959. The next prime is 14783223018989. The reversal of 14783223018960 is 6981032238741.

It is a happy number.

14783223018960 is a `hidden beast` number, since 1 + 4 + 7 + 8 + 322 + 301 + 8 + 9 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 14783223018897 and 14783223018906.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1796038045 + ... + 1796046275.

Almost surely, 214783223018960 is an apocalyptic number.

14783223018960 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 14783223018960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28972727626752).

14783223018960 is an abundant number, since it is smaller than the sum of its proper divisors (43162232234544).

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

14783223018960 is a wasteful number, since it uses less digits than its factorization.

14783223018960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8534 (or 8516 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The spelling of 14783223018960 in words is "fourteen trillion, seven hundred eighty-three billion, two hundred twenty-three million, eighteen thousand, nine hundred sixty".