Search a number
-
+
14355003432 = 23371122330703
BaseRepresentation
bin11010101111001111…
…11111100000101000
31101001102110201201210
431113213333200220
5213344340102212
610332233313120
71015505341650
oct152747774050
941042421653
1014355003432
1160a7030600
1229475657a0
13147a027593
149a26c7360
155903a953c
hex3579ff828

14355003432 has 192 divisors, whose sum is σ = 47043440640. Its totient is φ = 3566344320.

The previous prime is 14355003389. The next prime is 14355003433. The reversal of 14355003432 is 23430055341.

It is a super-2 number, since 2×143550034322 (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 14355003432.

It is not an unprimeable number, because it can be changed into a prime (14355003433) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 452193 + ... + 482895.

It is an arithmetic number, because the mean of its divisors is an integer number (245017920).

Almost surely, 214355003432 is an apocalyptic number.

14355003432 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 14355003432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23521720320).

14355003432 is an abundant number, since it is smaller than the sum of its proper divisors (32688437208).

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

14355003432 is a wasteful number, since it uses less digits than its factorization.

14355003432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30764 (or 30749 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 30.

Adding to 14355003432 its reverse (23430055341), we get a palindrome (37785058773).

The spelling of 14355003432 in words is "fourteen billion, three hundred fifty-five million, three thousand, four hundred thirty-two".