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3014100000 = 25325517197
BaseRepresentation
bin1011001110100111…
…1000010000100000
321210001120010220100
42303221320100200
522133102200000
61215030342400
7134456266362
oct26351702040
97701503810
103014100000
111307420a3a
127014baa00
133905b0332
14208436d32
1512992ba00
hexb3a78420

3014100000 has 432 divisors, whose sum is σ = 11401285896. Its totient is φ = 752640000.

The previous prime is 3014099951. The next prime is 3014100043. The reversal of 3014100000 is 14103.

It can be written as a sum of positive squares in 12 ways, for example, as 227527056 + 2786572944 = 15084^2 + 52788^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 15299902 + ... + 15300098.

Almost surely, 23014100000 is an apocalyptic number.

3014100000 is a gapful number since it is divisible by the number (30) 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 3014100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5700642948).

3014100000 is an abundant number, since it is smaller than the sum of its proper divisors (8387185896).

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

3014100000 is a wasteful number, since it uses less digits than its factorization.

3014100000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 255 (or 224 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 3014100000 is about 54900.8196660123. The cubic root of 3014100000 is about 1444.5055639270.

Adding to 3014100000 its reverse (14103), we get a palindrome (3014114103).

The spelling of 3014100000 in words is "three billion, fourteen million, one hundred thousand".