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268081021440 = 293554753173
BaseRepresentation
bin1111100110101011011…
…1111100001000000000
3221121222000201220200000
43321222313330020000
513343012220141230
6323053230400000
725240204040661
oct3715267741000
9847860656600
10268081021440
11a3768825281
1243b57960000
131c38401974b
14cd91ccd368
156e90378b60
hex3e6adfc200

268081021440 has 960 divisors, whose sum is σ = 1007656505856. Its totient is φ = 68250304512.

The previous prime is 268081021421. The next prime is 268081021451. The reversal of 268081021440 is 44120180862.

268081021440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 268081021395 and 268081021404.

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 95 ways as a sum of consecutive naturals, for example, 1549601194 + ... + 1549601366.

Almost surely, 2268081021440 is an apocalyptic number.

268081021440 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 268081021440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (503828252928).

268081021440 is an abundant number, since it is smaller than the sum of its proper divisors (739575484416).

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

268081021440 is an equidigital number, since it uses as much as digits as its factorization.

268081021440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 311 (or 283 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The spelling of 268081021440 in words is "two hundred sixty-eight billion, eighty-one million, twenty-one thousand, four hundred forty".