Search a number
-
+
3143241220 = 225724178229
BaseRepresentation
bin1011101101011010…
…0000111000000100
322010001120012100111
42323112200320010
522414132204340
61235522322404
7140615052400
oct27326407004
98101505314
103143241220
111373306719
127387b9404
133b1287c62
1421b652100
15135e3aaea
hexbb5a0e04

3143241220 has 72 divisors (see below), whose sum is σ = 7865870040. Its totient is φ = 1051384320.

The previous prime is 3143241191. The next prime is 3143241221. The reversal of 3143241220 is 221423413.

It can be written as a sum of positive squares in 4 ways, for example, as 88247236 + 3054993984 = 9394^2 + 55272^2 .

It is a junction number, because it is equal to n+sod(n) for n = 3143241191 and 3143241200.

It is not an unprimeable number, because it can be changed into a prime (3143241221) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1066 + ... + 79294.

It is an arithmetic number, because the mean of its divisors is an integer number (109248195).

Almost surely, 23143241220 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 3143241220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3932935020).

3143241220 is an abundant number, since it is smaller than the sum of its proper divisors (4722628820).

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

3143241220 is a wasteful number, since it uses less digits than its factorization.

3143241220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78293 (or 78284 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

The square root of 3143241220 is about 56064.6164706404. The cubic root of 3143241220 is about 1464.8480267287.

Adding to 3143241220 its reverse (221423413), we get a palindrome (3364664633).

The spelling of 3143241220 in words is "three billion, one hundred forty-three million, two hundred forty-one thousand, two hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 41 49 70 82 98 140 164 196 205 245 287 410 490 574 820 980 1148 1435 2009 2870 4018 5740 8036 10045 20090 40180 78229 156458 312916 391145 547603 782290 1095206 1564580 2190412 2738015 3207389 3833221 5476030 6414778 7666442 10952060 12829556 15332884 16036945 19166105 22451723 32073890 38332210 44903446 64147780 76664420 89806892 112258615 157162061 224517230 314324122 449034460 628648244 785810305 1571620610 3143241220