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3014113000 = 23534336961
BaseRepresentation
bin1011001110100111…
…1011011011101000
321210001120210201211
42303221323123220
522133103104000
61215030522504
7134456352313
oct26351733350
97701523654
103014113000
11130742a788
12701506434
133905b6222
1420843b97a
151299307ba
hexb3a7b6e8

3014113000 has 64 divisors (see below), whose sum is σ = 7070328720. Its totient is φ = 1202688000.

The previous prime is 3014112977. The next prime is 3014113001. The reversal of 3014113000 is 3114103.

It can be written as a sum of positive squares in 8 ways, for example, as 35354916 + 2978758084 = 5946^2 + 54578^2 .

It is not an unprimeable number, because it can be changed into a prime (3014113001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 429520 + ... + 436480.

Almost surely, 23014113000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3014113000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3535164360).

3014113000 is an abundant number, since it is smaller than the sum of its proper divisors (4056215720).

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

3014113000 is a wasteful number, since it uses less digits than its factorization.

3014113000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7415 (or 7401 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 13.

The square root of 3014113000 is about 54900.9380612026. The cubic root of 3014113000 is about 1444.5076406714.

Adding to 3014113000 its reverse (3114103), we get a palindrome (3017227103).

The spelling of 3014113000 in words is "three billion, fourteen million, one hundred thirteen thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 433 500 866 1000 1732 2165 3464 4330 6961 8660 10825 13922 17320 21650 27844 34805 43300 54125 55688 69610 86600 108250 139220 174025 216500 278440 348050 433000 696100 870125 1392200 1740250 3014113 3480500 6028226 6961000 12056452 15070565 24112904 30141130 60282260 75352825 120564520 150705650 301411300 376764125 602822600 753528250 1507056500 3014113000