Search a number
-
+
14568490000 = 2454172712
BaseRepresentation
bin11011001000101100…
…11000010000010000
31101121022011222020201
431210112120100100
5214314013140000
610405341144544
71024010056531
oct154426302020
941538158221
1014568490000
1161a6595189
1229a6b5b154
1314b23243ac
149c2bba688
155a3ec996a
hex364598410

14568490000 has 225 divisors, whose sum is σ = 38003788801. Its totient is φ = 5407360000.

The previous prime is 14568489979. The next prime is 14568490009. The reversal of 14568490000 is 9486541.

It is a happy number.

The square root of 14568490000 is 120700.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 7 ways, for example, as 7114585104 + 7453904896 = 84348^2 + 86336^2 .

It is not an unprimeable number, because it can be changed into a prime (14568490009) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 205189965 + ... + 205190035.

Almost surely, 214568490000 is an apocalyptic number.

14568490000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

14568490000 is the 120700-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14568490000

14568490000 is an abundant number, since it is smaller than the sum of its proper divisors (23435298801).

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

14568490000 is an frugal number, since it uses more digits than its factorization.

14568490000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 204 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 37.

The spelling of 14568490000 in words is "fourteen billion, five hundred sixty-eight million, four hundred ninety thousand".