Search a number
-
+
4313120000 = 285473851
BaseRepresentation
bin1000000010001010…
…01111110100000000
3102010120220012100012
410001011033310000
532313124320000
61551553044052
7211611625610
oct40105176400
912116805305
104313120000
111913709992
12a04556628
13539764217
142ccb80a40
151a39c6735
hex10114fd00

4313120000 has 180 divisors, whose sum is σ = 12298388256. Its totient is φ = 1478400000.

The previous prime is 4313119981. The next prime is 4313120089. The reversal of 4313120000 is 213134.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1118075 + ... + 1121925.

Almost surely, 24313120000 is an apocalyptic number.

4313120000 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 4313120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6149194128).

4313120000 is an abundant number, since it is smaller than the sum of its proper divisors (7985268256).

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

4313120000 is an frugal number, since it uses more digits than its factorization.

4313120000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3894 (or 3865 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

The square root of 4313120000 is about 65674.3481124861. The cubic root of 4313120000 is about 1627.7855182915.

Adding to 4313120000 its reverse (213134), we get a palindrome (4313333134).

The spelling of 4313120000 in words is "four billion, three hundred thirteen million, one hundred twenty thousand".