Search a number
-
+
144311013104120 = 23516372203894519
BaseRepresentation
bin100000110100000000000110…
…101011000101100111111000
3200220221222221121221220222122
4200310000012223011213320
5122403342423323312440
61230531321511140412
742253061302046042
oct4064000653054770
9626858847856878
10144311013104120
1141a88a58798255
1214228536374708
13626a615b9ca95
14278c994290a92
1511a3cd99327b5
hex834006ac59f8

144311013104120 has 32 divisors (see below), whose sum is σ = 324898130138400. Its totient is φ = 57689142903168.

The previous prime is 144311013104117. The next prime is 144311013104143. The reversal of 144311013104120 is 21401310113441.

It is a self number, because there is not a number n which added to its sum of digits gives 144311013104120.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1101881780 + ... + 1102012739.

It is an arithmetic number, because the mean of its divisors is an integer number (10153066566825).

Almost surely, 2144311013104120 is an apocalyptic number.

144311013104120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

144311013104120 is an abundant number, since it is smaller than the sum of its proper divisors (180587117034280).

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

144311013104120 is a wasteful number, since it uses less digits than its factorization.

144311013104120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2203896167 (or 2203896163 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 26.

Adding to 144311013104120 its reverse (21401310113441), we get a palindrome (165712323217561).

The spelling of 144311013104120 in words is "one hundred forty-four trillion, three hundred eleven billion, thirteen million, one hundred four thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 1637 3274 6548 8185 13096 16370 32740 65480 2203894519 4407789038 8815578076 11019472595 17631156152 22038945190 44077890380 88155780760 3607775327603 7215550655206 14431101310412 18038876638015 28862202620824 36077753276030 72155506552060 144311013104120