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250131441120 = 253511102146399
BaseRepresentation
bin1110100011110011111…
…1101110010111100000
3212220122002102202102220
43220330333232113200
513044232122103440
6310524144511040
724033330112011
oct3507477562740
9786562382386
10250131441120
119709774a980
124058861b480
131a7833905c2
14c16c069008
15678e62e8d0
hex3a3cfee5e0

250131441120 has 192 divisors, whose sum is σ = 860402995200. Its totient is φ = 60577228800.

The previous prime is 250131441107. The next prime is 250131441151. The reversal of 250131441120 is 21144131052.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5367681 + ... + 5414079.

It is an arithmetic number, because the mean of its divisors is an integer number (4481265600).

Almost surely, 2250131441120 is an apocalyptic number.

250131441120 is a gapful number since it is divisible by the number (20) 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 250131441120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (430201497600).

250131441120 is an abundant number, since it is smaller than the sum of its proper divisors (610271554080).

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

250131441120 is a wasteful number, since it uses less digits than its factorization.

250131441120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47449 (or 47441 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

Adding to 250131441120 its reverse (21144131052), we get a palindrome (271275572172).

The spelling of 250131441120 in words is "two hundred fifty billion, one hundred thirty-one million, four hundred forty-one thousand, one hundred twenty".