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4997341440 = 283357213227
BaseRepresentation
bin1001010011101110…
…10110000100000000
3110220021101020201000
410221313112010000
540213304411230
62143514212000
7234560462400
oct45167260400
913807336630
104997341440
112134961653
12b75724000
1361843a790
143559ac800
151e3acdb60
hex129dd6100

4997341440 has 864 divisors, whose sum is σ = 22313612160. Its totient is φ = 1049739264.

The previous prime is 4997341429. The next prime is 4997341441. The reversal of 4997341440 is 441437994.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (4997341441) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 22014607 + ... + 22014833.

It is an arithmetic number, because the mean of its divisors is an integer number (25825940).

Almost surely, 24997341440 is an apocalyptic number.

4997341440 is a gapful number since it is divisible by the number (40) 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 4997341440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11156806080).

4997341440 is an abundant number, since it is smaller than the sum of its proper divisors (17316270720).

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

4997341440 is a wasteful number, since it uses less digits than its factorization.

4997341440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 284 (or 257 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The square root of 4997341440 is about 70691.8767610537. The cubic root of 4997341440 is about 1709.6728213684.

The spelling of 4997341440 in words is "four billion, nine hundred ninety-seven million, three hundred forty-one thousand, four hundred forty".