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254140000000 = 285797131
BaseRepresentation
bin1110110010101111101…
…1001010011100000000
3220021222110020122110121
43230223323022130000
513130434320000000
6312430022110024
724234553233415
oct3545373123400
9807873218417
10254140000000
119886444a557
1241306b7b314
131ac719ba933
14c42c5aa10c
1569264e5b1a
hex3b2beca700

254140000000 has 288 divisors, whose sum is σ = 645535066176. Its totient is φ = 99840000000.

The previous prime is 254139999989. The next prime is 254140000031. The reversal of 254140000000 is 41452.

254140000000 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 (16).

It is a congruent 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 31 ways as a sum of consecutive naturals, for example, 1939999935 + ... + 1940000065.

It is an arithmetic number, because the mean of its divisors is an integer number (2241441202).

Almost surely, 2254140000000 is an apocalyptic number.

254140000000 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 254140000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (322767533088).

254140000000 is an abundant number, since it is smaller than the sum of its proper divisors (391395066176).

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

254140000000 is an frugal number, since it uses more digits than its factorization.

254140000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 279 (or 235 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 16.

Adding to 254140000000 its reverse (41452), we get a palindrome (254140041452).

The spelling of 254140000000 in words is "two hundred fifty-four billion, one hundred forty million", and thus it is an aban number.