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4873231440 = 24325711261131
BaseRepresentation
bin1001000100111011…
…11001110001010000
3110120121211210210100
410202131321301100
534440021401230
62123322132400
7231522532560
oct44235716120
913517753710
104873231440
1120808a2a00
12b40051100
135c8804bcc
14343302da0
151d7c65660
hex122779c50

4873231440 has 720 divisors, whose sum is σ = 21055402368. Its totient is φ = 988416000.

The previous prime is 4873231387. The next prime is 4873231457. The reversal of 4873231440 is 441323784.

4873231440 is a `hidden beast` number, since 487 + 32 + 3 + 144 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

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 = 4873231395 and 4873231404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 37200175 + ... + 37200305.

Almost surely, 24873231440 is an apocalyptic number.

4873231440 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 4873231440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10527701184).

4873231440 is an abundant number, since it is smaller than the sum of its proper divisors (16182170928).

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

4873231440 is a wasteful number, since it uses less digits than its factorization.

4873231440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 240 (or 220 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The square root of 4873231440 is about 69808.5341487701. The cubic root of 4873231440 is about 1695.4006518892.

The spelling of 4873231440 in words is "four billion, eight hundred seventy-three million, two hundred thirty-one thousand, four hundred forty".