Search a number
-
+
14141023130000 = 2454131710163353
BaseRepresentation
bin1100110111000111011010…
…1010010001000110010000
31212001212110012211020000102
43031301312222101012100
53323141303410130000
650024144002111532
72656440510234134
oct315616652210620
955055405736012
1014141023130000
1145621a09a0508
12170476004b5a8
137b76537910c0
1436c6019093c4
15197c9186e3d5
hexcdc76a91190

14141023130000 has 400 divisors, whose sum is σ = 39426432390576. Its totient is φ = 4865433600000.

The previous prime is 14141023129979. The next prime is 14141023130021. The reversal of 14141023130000 is 3132014141.

It is an interprime number because it is at equal distance from previous prime (14141023129979) and next prime (14141023130021).

It can be written as a sum of positive squares in 40 ways, for example, as 13674375660544 + 466647469456 = 3697888^2 + 683116^2 .

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 (20).

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, 223178324 + ... + 223241676.

Almost surely, 214141023130000 is an apocalyptic number.

14141023130000 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 14141023130000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19713216195288).

14141023130000 is an abundant number, since it is smaller than the sum of its proper divisors (25285409260576).

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

14141023130000 is a wasteful number, since it uses less digits than its factorization.

14141023130000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63512 (or 63491 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 14141023130000 its reverse (3132014141), we get a palindrome (14144155144141).

The spelling of 14141023130000 in words is "fourteen trillion, one hundred forty-one billion, twenty-three million, one hundred thirty thousand".