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4313010240 = 263457112161
BaseRepresentation
bin1000000010001001…
…10101000001000000
3102010120200121210000
410001010311001000
532313112311430
61551550440000
7211610660610
oct40104650100
912116617700
104313010240
111913644480
12a04503000
13539726286
142ccb52a40
151a39a3e60
hex101135040

4313010240 has 560 divisors, whose sum is σ = 19136709504. Its totient is φ = 895795200.

The previous prime is 4313010217. The next prime is 4313010259. The reversal of 4313010240 is 420103134.

It is a tau number, because it is divible by the number of its divisors (560).

It is a super-3 number, since 3×43130102403 (a number of 30 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1994760 + ... + 1996920.

Almost surely, 24313010240 is an apocalyptic number.

4313010240 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 4313010240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9568354752).

4313010240 is an abundant number, since it is smaller than the sum of its proper divisors (14823699264).

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

4313010240 is a wasteful number, since it uses less digits than its factorization.

4313010240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2208 (or 2189 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 4313010240 is about 65673.5124688790. The cubic root of 4313010240 is about 1627.7717102473.

Adding to 4313010240 its reverse (420103134), we get a palindrome (4733113374).

The spelling of 4313010240 in words is "four billion, three hundred thirteen million, ten thousand, two hundred forty".