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14234330124140 = 2257679119471759
BaseRepresentation
bin1100111100100011000000…
…1100001100111101101100
31212101210021221101122021012
43033020300030030331230
53331203402002433030
650135054434524352
72666252653503050
oct317106014147554
955353257348235
1014234330124140
1145988222a3205
12171a8604366b8
137c33a3774039
14372d33ac3c60
1519a4031d1095
hexcf23030cf6c

14234330124140 has 192 divisors, whose sum is σ = 34766745108480. Its totient is φ = 4794425475840.

The previous prime is 14234330124107. The next prime is 14234330124163. The reversal of 14234330124140 is 4142103343241.

It is a junction number, because it is equal to n+sod(n) for n = 14234330124097 and 14234330124106.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8092284581 + ... + 8092286339.

It is an arithmetic number, because the mean of its divisors is an integer number (181076797440).

Almost surely, 214234330124140 is an apocalyptic number.

14234330124140 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 14234330124140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17383372554240).

14234330124140 is an abundant number, since it is smaller than the sum of its proper divisors (20532414984340).

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

14234330124140 is a wasteful number, since it uses less digits than its factorization.

14234330124140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3700 (or 3698 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 32.

Adding to 14234330124140 its reverse (4142103343241), we get a palindrome (18376433467381).

The spelling of 14234330124140 in words is "fourteen trillion, two hundred thirty-four billion, three hundred thirty million, one hundred twenty-four thousand, one hundred forty".