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4731229440 = 2835574153
BaseRepresentation
bin1000110100000000…
…01101010100000000
3110012201122100200000
410122000031110000
534142143320230
62101250400000
7225146533560
oct43200152400
913181570600
104731229440
112008723783
12b00590000
135a5276562
1432c4dada0
151ca565b60
hex11a00d500

4731229440 has 864 divisors, whose sum is σ = 20249139456. Its totient is φ = 1035141120.

The previous prime is 4731229439. The next prime is 4731229441. The reversal of 4731229440 is 449221374.

It is an interprime number because it is at equal distance from previous prime (4731229439) and next prime (4731229441).

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 (36).

It is a junction number, because it is equal to n+sod(n) for n = 4731229395 and 4731229404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4731229441) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 89268454 + ... + 89268506.

It is an arithmetic number, because the mean of its divisors is an integer number (23436504).

Almost surely, 24731229440 is an apocalyptic number.

4731229440 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 4731229440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10124569728).

4731229440 is an abundant number, since it is smaller than the sum of its proper divisors (15517910016).

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

4731229440 is an equidigital number, since it uses as much as digits as its factorization.

4731229440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 4731229440 is about 68783.9330076436. The cubic root of 4731229440 is about 1678.7705290297.

The spelling of 4731229440 in words is "four billion, seven hundred thirty-one million, two hundred twenty-nine thousand, four hundred forty".