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14342100432 = 24311233759541
BaseRepresentation
bin11010101101101101…
…10001010111010000
31101000112012012010220
431112312301113100
5213333034203212
610331052553040
71015260561612
oct152666612720
941015165126
1014342100432
11609a818370
122943182780
13147745a57a
149a0ac8db2
1558e1ab38c
hex356db15d0

14342100432 has 320 divisors, whose sum is σ = 44131461120. Its totient is φ = 3968870400.

The previous prime is 14342100419. The next prime is 14342100433. The reversal of 14342100432 is 23400124341.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14342100433) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 26510082 + ... + 26510622.

It is an arithmetic number, because the mean of its divisors is an integer number (137910816).

Almost surely, 214342100432 is an apocalyptic number.

14342100432 is a gapful number since it is divisible by the number (12) 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 14342100432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22065730560).

14342100432 is an abundant number, since it is smaller than the sum of its proper divisors (29789360688).

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

14342100432 is a wasteful number, since it uses less digits than its factorization.

14342100432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 682 (or 676 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 14342100432 its reverse (23400124341), we get a palindrome (37742224773).

The spelling of 14342100432 in words is "fourteen billion, three hundred forty-two million, one hundred thousand, four hundred thirty-two".