Search a number
-
+
14231201244288 = 2737271178310957
BaseRepresentation
bin1100111100010111010110…
…1100011110010010000000
31212101111012212212002000020
43033011311230132102000
53331131000004304123
650133420144053440
72666112301453260
oct317056554362200
955344185762006
1014231201244288
114597467106496
12171a128604280
137c2cc5476b42
14372b1832d7a0
1519a2bd6807e3
hexcf175b1e480

14231201244288 has 256 divisors, whose sum is σ = 43389556285440. Its totient is φ = 4048412037120.

The previous prime is 14231201244287. The next prime is 14231201244319. The reversal of 14231201244288 is 88244210213241.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (14231201244283) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1298817306 + ... + 1298828262.

It is an arithmetic number, because the mean of its divisors is an integer number (169490454240).

Almost surely, 214231201244288 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14231201244288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21694778142720).

14231201244288 is an abundant number, since it is smaller than the sum of its proper divisors (29158355041152).

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

14231201244288 is a wasteful number, since it uses less digits than its factorization.

14231201244288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13035 (or 13023 counting only the distinct ones).

The product of its (nonzero) digits is 196608, while the sum is 42.

The spelling of 14231201244288 in words is "fourteen trillion, two hundred thirty-one billion, two hundred one million, two hundred forty-four thousand, two hundred eighty-eight".