Search a number
-
+
3144443160 = 2335231139291
BaseRepresentation
bin1011101101101100…
…0110010100011000
322010010211021002210
42323123012110120
522414434140120
61240004155120
7140631216525
oct27333062430
98103737083
103144443160
111373a57761
12739098aa0
133b15b9071
1421b88614c
151360c6ce0
hexbb6c6518

3144443160 has 64 divisors (see below), whose sum is σ = 9843482880. Its totient is φ = 802060160.

The previous prime is 3144443149. The next prime is 3144443213. The reversal of 3144443160 is 613444413.

3144443160 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 566886 + ... + 572405.

It is an arithmetic number, because the mean of its divisors is an integer number (153804420).

Almost surely, 23144443160 is an apocalyptic number.

3144443160 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3144443160 is an abundant number, since it is smaller than the sum of its proper divisors (6699039720).

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

3144443160 is a wasteful number, since it uses less digits than its factorization.

3144443160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1139328 (or 1139324 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

The square root of 3144443160 is about 56075.3346846900. The cubic root of 3144443160 is about 1465.0347167240.

Adding to 3144443160 its reverse (613444413), we get a palindrome (3757887573).

The spelling of 3144443160 in words is "three billion, one hundred forty-four million, four hundred forty-three thousand, one hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 23 24 30 40 46 60 69 92 115 120 138 184 230 276 345 460 552 690 920 1380 2760 1139291 2278582 3417873 4557164 5696455 6835746 9114328 11392910 13671492 17089365 22785820 26203693 27342984 34178730 45571640 52407386 68357460 78611079 104814772 131018465 136714920 157222158 209629544 262036930 314444316 393055395 524073860 628888632 786110790 1048147720 1572221580 3144443160