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2939130000 = 243254172113
BaseRepresentation
bin1010111100101111…
…1001000010010000
321120211111021101200
42233023321002100
522004404130000
61203351431200
7132556123062
oct25713710220
97524437350
102939130000
111279075964
126a0385500
1337abc15a1
141dc4bd732
1512306d500
hexaf2f9090

2939130000 has 450 divisors, whose sum is σ = 11015375514. Its totient is φ = 731136000.

The previous prime is 2939129989. The next prime is 2939130001. The reversal of 2939130000 is 319392.

It can be written as a sum of positive squares in 15 ways, for example, as 2921186304 + 17943696 = 54048^2 + 4236^2 .

It is a tau number, because it is divible by the number of its divisors (450).

It is not an unprimeable number, because it can be changed into a prime (2939130001) by changing a digit.

It is a polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 26009944 + ... + 26010056.

Almost surely, 22939130000 is an apocalyptic number.

2939130000 is a gapful number since it is divisible by the number (20) 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 2939130000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5507687757).

2939130000 is an abundant number, since it is smaller than the sum of its proper divisors (8076245514).

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

2939130000 is a wasteful number, since it uses less digits than its factorization.

2939130000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 181 (or 140 counting only the distinct ones).

The product of its (nonzero) digits is 1458, while the sum is 27.

The square root of 2939130000 is about 54213.7436449467. The cubic root of 2939130000 is about 1432.4284294899.

Adding to 2939130000 its reverse (319392), we get a palindrome (2939449392).

The spelling of 2939130000 in words is "two billion, nine hundred thirty-nine million, one hundred thirty thousand".