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4441421088 = 25321317312251
BaseRepresentation
bin1000010001011101…
…01011010100100000
3102110112022120100100
410020232223110200
533044000433323
62012415022400
7215030312346
oct41056532440
912415276310
104441421088
11197a080445
12a3b50aa00
1355a206620
14301c1b996
151aedbb943
hex108bab520

4441421088 has 288 divisors, whose sum is σ = 14873144832. Its totient is φ = 1244160000.

The previous prime is 4441421029. The next prime is 4441421093. The reversal of 4441421088 is 8801241444.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×44414210882 = 39452442561862207488, which contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1971963 + ... + 1974213.

It is an arithmetic number, because the mean of its divisors is an integer number (51642864).

Almost surely, 24441421088 is an apocalyptic number.

4441421088 is a gapful number since it is divisible by the number (48) 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 4441421088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7436572416).

4441421088 is an abundant number, since it is smaller than the sum of its proper divisors (10431723744).

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

4441421088 is a wasteful number, since it uses less digits than its factorization.

4441421088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2328 (or 2317 counting only the distinct ones).

The product of its (nonzero) digits is 32768, while the sum is 36.

The square root of 4441421088 is about 66643.9876357950. The cubic root of 4441421088 is about 1643.7684864109.

The spelling of 4441421088 in words is "four billion, four hundred forty-one million, four hundred twenty-one thousand, eighty-eight".