Search a number
-
+
14527990224 = 243611199569
BaseRepresentation
bin11011000011110111…
…11000100111010000
31101111110222101000000
431201323320213100
5214223131141344
610401333130000
71023005610426
oct154173704720
941443871000
1014527990224
1161857430a0
122995489900
1314a6b14227
149bb677116
155a0679a69
hex361ef89d0

14527990224 has 280 divisors, whose sum is σ = 46351944000. Its totient is φ = 4372600320.

The previous prime is 14527990201. The next prime is 14527990283. The reversal of 14527990224 is 42209972541.

14527990224 is a `hidden beast` number, since 14 + 527 + 9 + 90 + 2 + 24 = 666.

It is a super-2 number, since 2×145279902242 (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 14527990224.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 25532212 + ... + 25532780.

Almost surely, 214527990224 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14527990224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23175972000).

14527990224 is an abundant number, since it is smaller than the sum of its proper divisors (31823953776).

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

14527990224 is a wasteful number, since it uses less digits than its factorization.

14527990224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 805 (or 784 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 14527990224 in words is "fourteen billion, five hundred twenty-seven million, nine hundred ninety thousand, two hundred twenty-four".