Search a number
-
+
3144211020 = 22355646957
BaseRepresentation
bin1011101101101000…
…1101101001001100
322010010101110200000
42323122031221030
522414404223040
61235555204300
7140626231656
oct27332155114
98103343600
103144211020
111373909305
12738ba6690
133b15374c2
1421b8256d6
1513607d130
hexbb68da4c

3144211020 has 72 divisors (see below), whose sum is σ = 9890693904. Its totient is φ = 838454976.

The previous prime is 3144210989. The next prime is 3144211027. The reversal of 3144211020 is 201124413.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 3144210984 and 3144211002.

It is not an unprimeable number, because it can be changed into a prime (3144211027) 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 23 ways as a sum of consecutive naturals, for example, 318619 + ... + 328338.

Almost surely, 23144211020 is an apocalyptic number.

3144211020 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3144211020 is an abundant number, since it is smaller than the sum of its proper divisors (6746482884).

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

3144211020 is a wasteful number, since it uses less digits than its factorization.

3144211020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 646981 (or 646967 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 3144211020 is about 56073.2647524647. The cubic root of 3144211020 is about 1464.9986635437.

Adding to 3144211020 its reverse (201124413), we get a palindrome (3345335433).

The spelling of 3144211020 in words is "three billion, one hundred forty-four million, two hundred eleven thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 108 135 162 180 243 270 324 405 486 540 810 972 1215 1620 2430 4860 646957 1293914 1940871 2587828 3234785 3881742 5822613 6469570 7763484 9704355 11645226 12939140 17467839 19408710 23290452 29113065 34935678 38817420 52403517 58226130 69871356 87339195 104807034 116452260 157210551 174678390 209614068 262017585 314421102 349356780 524035170 628842204 786052755 1048070340 1572105510 3144211020