Search a number
-
+
14998408320 = 2735710211093
BaseRepresentation
bin11011111011111100…
…11000110010000000
31102201021011002022110
431331332120302000
5221204043031240
610520135535320
71040450236650
oct157576306200
942637132273
1014998408320
1163a7235185
122aa6b2a540
13155040c72c
14a23d2c360
155cbaecc80
hex37df98c80

14998408320 has 256 divisors, whose sum is σ = 54740609280. Its totient is φ = 3421716480.

The previous prime is 14998408279. The next prime is 14998408331. The reversal of 14998408320 is 2380489941.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 14998408320.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13721694 + ... + 13722786.

It is an arithmetic number, because the mean of its divisors is an integer number (213830505).

Almost surely, 214998408320 is an apocalyptic number.

14998408320 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 14998408320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27370304640).

14998408320 is an abundant number, since it is smaller than the sum of its proper divisors (39742200960).

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

14998408320 is a wasteful number, since it uses less digits than its factorization.

14998408320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2143 (or 2131 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 48.

The spelling of 14998408320 in words is "fourteen billion, nine hundred ninety-eight million, four hundred eight thousand, three hundred twenty".