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14040050132430 = 23257192371668473
BaseRepresentation
bin1100110001001111010000…
…1100110110010111001110
31211201012211020022111000200
43030103310030312113032
53320013010313214210
645505524320234330
72646234350020050
oct314236414662716
954635736274020
1014040050132430
114523396304993
1216a908046b9a6
137aac81509c6a
143677835698d0
15195331ed90c0
hexcc4f43365ce

14040050132430 has 288 divisors, whose sum is σ = 45220343822784. Its totient is φ = 2958080726016.

The previous prime is 14040050132401. The next prime is 14040050132477. The reversal of 14040050132430 is 3423105004041.

It is a happy number.

14040050132430 is a `hidden beast` number, since 1 + 4 + 0 + 400 + 5 + 0 + 13 + 243 + 0 = 666.

It is a super-2 number, since 2×140400501324302 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 14040050132394 and 14040050132403.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 7580674 + ... + 9249146.

It is an arithmetic number, because the mean of its divisors is an integer number (157015082718).

Almost surely, 214040050132430 is an apocalyptic number.

14040050132430 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 14040050132430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22610171911392).

14040050132430 is an abundant number, since it is smaller than the sum of its proper divisors (31180293690354).

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

14040050132430 is a wasteful number, since it uses less digits than its factorization.

14040050132430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1668568 (or 1668546 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

Adding to 14040050132430 its reverse (3423105004041), we get a palindrome (17463155136471).

The spelling of 14040050132430 in words is "fourteen trillion, forty billion, fifty million, one hundred thirty-two thousand, four hundred thirty".