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14142424323432 = 2338291429497423
BaseRepresentation
bin1100110111001100101000…
…1011011001010101101000
31212002000001212102020001110
43031303022023121111220
53323202141111322212
650024535014350320
72656520313210156
oct315631213312550
955060055366043
1014142424323432
11456284a924909
121704a9135b3a0
137b7817b69b42
1436c6d5a4c3d6
15197d2489ca3c
hexcdcca2d9568

14142424323432 has 64 divisors (see below), whose sum is σ = 35423552736000. Its totient is φ = 4705150512384.

The previous prime is 14142424323421. The next prime is 14142424323437. The reversal of 14142424323432 is 23432342424141.

14142424323432 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (14142424323437) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 28182673 + ... + 28680095.

It is an arithmetic number, because the mean of its divisors is an integer number (553493011500).

Almost surely, 214142424323432 is an apocalyptic number.

14142424323432 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

14142424323432 is an abundant number, since it is smaller than the sum of its proper divisors (21281128412568).

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

14142424323432 is a wasteful number, since it uses less digits than its factorization.

14142424323432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 499690 (or 499686 counting only the distinct ones).

The product of its digits is 442368, while the sum is 39.

Adding to 14142424323432 its reverse (23432342424141), we get a palindrome (37574766747573).

The spelling of 14142424323432 in words is "fourteen trillion, one hundred forty-two billion, four hundred twenty-four million, three hundred twenty-three thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 24 829 1429 1658 2487 2858 3316 4287 4974 5716 6632 8574 9948 11432 17148 19896 34296 497423 994846 1184641 1492269 1989692 2369282 2984538 3553923 3979384 4738564 5969076 7107846 9477128 11938152 14215692 28431384 412363667 710817467 824727334 1237091001 1421634934 1649454668 2132452401 2474182002 2843269868 3298909336 4264904802 4948364004 5686539736 8529809604 9896728008 17059619208 589267680143 1178535360286 1767803040429 2357070720572 3535606080858 4714141441144 7071212161716 14142424323432