Search a number
-
+
14254974720 = 283257434111
BaseRepresentation
bin11010100011010100…
…11010011100000000
31100210110020202010200
431101222122130000
5213143233142340
610314301325200
71013152200030
oct152152323400
940713222120
1014254974720
11605561a548
122919b66800
1314623a39ac
149932c98c0
155866eb330
hex351a9a700

14254974720 has 432 divisors, whose sum is σ = 57691425792. Its totient is φ = 3181731840.

The previous prime is 14254974709. The next prime is 14254974733. The reversal of 14254974720 is 2747945241.

14254974720 is a `hidden beast` number, since 1 + 42 + 54 + 97 + 472 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3465465 + ... + 3469575.

Almost surely, 214254974720 is an apocalyptic number.

14254974720 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 14254974720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28845712896).

14254974720 is an abundant number, since it is smaller than the sum of its proper divisors (43436451072).

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

14254974720 is a wasteful number, since it uses less digits than its factorization.

14254974720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4188 (or 4171 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 45.

The spelling of 14254974720 in words is "fourteen billion, two hundred fifty-four million, nine hundred seventy-four thousand, seven hundred twenty".