Search a number
-
+
14045130000 = 243354114729
BaseRepresentation
bin11010001010010011…
…11010110100010000
31100020211101112022000
431011021322310100
5212231023130000
610241403514000
71005023430606
oct150511726420
940224345260
1014045130000
115a58123060
12287b828900
13142aa80715
149734a3876
1557309a000
hex34527ad10

14045130000 has 400 divisors, whose sum is σ = 54968654400. Its totient is φ = 3404160000.

The previous prime is 14045129999. The next prime is 14045130019. The reversal of 14045130000 is 3154041.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (400).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2967636 + ... + 2972364.

It is an arithmetic number, because the mean of its divisors is an integer number (137421636).

Almost surely, 214045130000 is an apocalyptic number.

14045130000 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 14045130000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27484327200).

14045130000 is an abundant number, since it is smaller than the sum of its proper divisors (40923524400).

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

14045130000 is a wasteful number, since it uses less digits than its factorization.

14045130000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4777 (or 4750 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

Adding to 14045130000 its reverse (3154041), we get a palindrome (14048284041).

The spelling of 14045130000 in words is "fourteen billion, forty-five million, one hundred thirty thousand".