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144013064250 = 235311471372711
BaseRepresentation
bin1000011000011111011…
…0001111100000111010
3111202201111222122222110
42012013312033200322
54324414321024000
6150054135433150
713255530564036
oct2060766174072
9452644878873
10144013064250
1156091690770
1223ab18257b6
1310771108c23
146d825c31c6
153b2d1c7850
hex2187d8f83a

144013064250 has 256 divisors, whose sum is σ = 403549765632. Its totient is φ = 33907520000.

The previous prime is 144013064171. The next prime is 144013064263. The reversal of 144013064250 is 52460310441.

144013064250 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 (30).

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 53120395 + ... + 53123105.

It is an arithmetic number, because the mean of its divisors is an integer number (1576366272).

Almost surely, 2144013064250 is an apocalyptic number.

144013064250 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 144013064250, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201774882816).

144013064250 is an abundant number, since it is smaller than the sum of its proper divisors (259536701382).

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

144013064250 is a wasteful number, since it uses less digits than its factorization.

144013064250 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2926 (or 2916 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

Adding to 144013064250 its reverse (52460310441), we get a palindrome (196473374691).

The spelling of 144013064250 in words is "one hundred forty-four billion, thirteen million, sixty-four thousand, two hundred fifty".