Search a number
-
+
14147358720 = 21235113173
BaseRepresentation
bin11010010110011111…
…11001000000000000
31100111221202021201220
431023033321000000
5212433210434340
610255454555040
71010404364535
oct151317710000
940457667656
1014147358720
115aaa8a7000
1228a9b08a80
131445cc47a1
14982cb4d8c
1557c03eed0
hex34b3f9000

14147358720 has 416 divisors, whose sum is σ = 50077021824. Its totient is φ = 3409838080.

The previous prime is 14147358703. The next prime is 14147358727. The reversal of 14147358720 is 2785374141.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14147358727) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 81776554 + ... + 81776726.

Almost surely, 214147358720 is an apocalyptic number.

14147358720 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 14147358720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25038510912).

14147358720 is an abundant number, since it is smaller than the sum of its proper divisors (35929663104).

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

14147358720 is an equidigital number, since it uses as much as digits as its factorization.

14147358720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 238 (or 194 counting only the distinct ones).

The product of its (nonzero) digits is 188160, while the sum is 42.

The spelling of 14147358720 in words is "fourteen billion, one hundred forty-seven million, three hundred fifty-eight thousand, seven hundred twenty".