Search a number
-
+
14440422332430 = 23251729358390833
BaseRepresentation
bin1101001000100010110000…
…1111100101100000001110
31220010111020212020120102200
43102020230033211200032
53343042441104114210
650413501034102330
73020200061406213
oct322105417454016
956114225216380
1014440422332430
11466816aa44696
12175279827a9a6
13809958ca5093
1437ccc4d37b0a
151a09664040c0
hexd222c3e580e

14440422332430 has 192 divisors, whose sum is σ = 41136378716160. Its totient is φ = 3498273128448.

The previous prime is 14440422332423. The next prime is 14440422332449. The reversal of 14440422332430 is 3423322404441.

14440422332430 is a `hidden beast` number, since 1 + 4 + 4 + 404 + 2 + 2 + 3 + 3 + 243 + 0 = 666.

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 95 ways as a sum of consecutive naturals, for example, 158932294 + ... + 159023126.

It is an arithmetic number, because the mean of its divisors is an integer number (214251972480).

Almost surely, 214440422332430 is an apocalyptic number.

14440422332430 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 14440422332430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20568189358080).

14440422332430 is an abundant number, since it is smaller than the sum of its proper divisors (26695956383730).

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

14440422332430 is a wasteful number, since it uses less digits than its factorization.

14440422332430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94475 (or 94472 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 36.

Adding to 14440422332430 its reverse (3423322404441), we get a palindrome (17863744736871).

The spelling of 14440422332430 in words is "fourteen trillion, four hundred forty billion, four hundred twenty-two million, three hundred thirty-two thousand, four hundred thirty".