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3144005000 = 2354628801
BaseRepresentation
bin1011101101100101…
…1011010110001000
322010010000000001122
42323121123112020
522414331130000
61235550534412
7140624413223
oct27331332610
98103000048
103144005000
111373788544
12738b07408
133b14947b6
1421b7b05ba
1513603c085
hexbb65b588

3144005000 has 40 divisors (see below), whose sum is σ = 7366415430. Its totient is φ = 1257600000.

The previous prime is 3144004967. The next prime is 3144005003. The reversal of 3144005000 is 5004413.

It can be written as a sum of positive squares in 5 ways, for example, as 201810436 + 2942194564 = 14206^2 + 54242^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a self number, because there is not a number n which added to its sum of digits gives 3144005000.

It is not an unprimeable number, because it can be changed into a prime (3144005003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 309401 + ... + 319400.

Almost surely, 23144005000 is an apocalyptic number.

It is an amenable number.

3144005000 is an abundant number, since it is smaller than the sum of its proper divisors (4222410430).

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

3144005000 is an equidigital number, since it uses as much as digits as its factorization.

3144005000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 628827 (or 628808 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 17.

The square root of 3144005000 is about 56071.4276615105. The cubic root of 3144005000 is about 1464.9666655199.

Adding to 3144005000 its reverse (5004413), we get a palindrome (3149009413).

The spelling of 3144005000 in words is "three billion, one hundred forty-four million, five thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 625 1000 1250 2500 5000 628801 1257602 2515204 3144005 5030408 6288010 12576020 15720025 25152040 31440050 62880100 78600125 125760200 157200250 314400500 393000625 628801000 786001250 1572002500 3144005000