Search a number
-
+
14605799040 = 273357120749
BaseRepresentation
bin11011001101001001…
…01100111010000000
31101200220101110122000
431212210230322000
5214403041032130
610413152544000
71024642146330
oct154644547200
941626343560
1014605799040
116215657aa8
1229b7552000
1314b9c88151
149c7b2d0c0
155a73e9260
hex36692ce80

14605799040 has 256 divisors, whose sum is σ = 59119200000. Its totient is φ = 3338440704.

The previous prime is 14605798967. The next prime is 14605799051. The reversal of 14605799040 is 4099750641.

14605799040 is a `hidden beast` number, since 14 + 60 + 579 + 9 + 0 + 4 + 0 = 666.

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

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, 60586 + ... + 181334.

It is an arithmetic number, because the mean of its divisors is an integer number (230934375).

Almost surely, 214605799040 is an apocalyptic number.

14605799040 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 14605799040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29559600000).

14605799040 is an abundant number, since it is smaller than the sum of its proper divisors (44513400960).

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

14605799040 is a wasteful number, since it uses less digits than its factorization.

14605799040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120784 (or 120766 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The spelling of 14605799040 in words is "fourteen billion, six hundred five million, seven hundred ninety-nine thousand, forty".