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14150070144 = 27347241809
BaseRepresentation
bin11010010110110100…
…01110111110000000
31100112010212001010000
431023122032332000
5212434404221034
610300033040000
71010436416550
oct151332167600
940463761100
1014150070144
116001389151
1228aa9b6000
131446733992
149833bd160
1557c3c8599
hex34b68ef80

14150070144 has 320 divisors, whose sum is σ = 48385576800. Its totient is φ = 4021125120.

The previous prime is 14150070131. The next prime is 14150070163. The reversal of 14150070144 is 44107005141.

14150070144 is a `hidden beast` number, since 14 + 1 + 500 + 7 + 0 + 144 = 666.

14150070144 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 17490412 + ... + 17491220.

Almost surely, 214150070144 is an apocalyptic number.

14150070144 is a gapful number since it is divisible by the number (14) 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 14150070144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24192788400).

14150070144 is an abundant number, since it is smaller than the sum of its proper divisors (34235506656).

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

14150070144 is an equidigital number, since it uses as much as digits as its factorization.

14150070144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1083 (or 1062 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 27.

Adding to 14150070144 its reverse (44107005141), we get a palindrome (58257075285).

The spelling of 14150070144 in words is "fourteen billion, one hundred fifty million, seventy thousand, one hundred forty-four".