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14150030400 = 2633521122707
BaseRepresentation
bin11010010110110100…
…00101010001000000
31100112010210000121000
431023122011101000
5212434401433100
610300032132000
71010436162642
oct151332052100
940463700530
1014150030400
116001361300
1228aa997000
13144671b86c
149833ac892
1557c3bb900
hex34b685440

14150030400 has 504 divisors, whose sum is σ = 56718626720. Its totient is φ = 3429043200.

The previous prime is 14150030381. The next prime is 14150030423. The reversal of 14150030400 is 403005141.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 5225847 + ... + 5228553.

Almost surely, 214150030400 is an apocalyptic number.

14150030400 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 14150030400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28359313360).

14150030400 is an abundant number, since it is smaller than the sum of its proper divisors (42568596320).

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

14150030400 is a wasteful number, since it uses less digits than its factorization.

14150030400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2760 (or 2728 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

Adding to 14150030400 its reverse (403005141), we get a palindrome (14553035541).

The spelling of 14150030400 in words is "fourteen billion, one hundred fifty million, thirty thousand, four hundred".