Search a number
-
+
3144241152 = 21231013
BaseRepresentation
bin1011101101101001…
…0101000000000000
322010010110000000000
42323122111000000
522414411204102
61240000000000
7140626415553
oct27332250000
98103400000
103144241152
111373929a08
12739000000
133b1548130
1421b83269a
1513608701c
hexbb695000

3144241152 has 286 divisors, whose sum is σ = 10157020202. Its totient is φ = 967458816.

The previous prime is 3144241099. The next prime is 3144241153. The reversal of 3144241152 is 2511424413.

3144241152 is a `hidden beast` number, since 31 + 442 + 41 + 152 = 666.

It can be written as a sum of positive squares in only one way, i.e., 2176782336 + 967458816 = 46656^2 + 31104^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3144241153) by changing a digit.

It is a polite number, since it can be written in 21 ways as a sum of consecutive naturals, for example, 241864698 + ... + 241864710.

Almost surely, 23144241152 is an apocalyptic number.

3144241152 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3144241152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5078510101).

3144241152 is an abundant number, since it is smaller than the sum of its proper divisors (7012779050).

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

3144241152 is an frugal number, since it uses more digits than its factorization.

3144241152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67 (or 18 counting only the distinct ones).

The product of its digits is 3840, while the sum is 27.

The square root of 3144241152 is about 56073.5334360160. The cubic root of 3144241152 is about 1465.0033433821.

Adding to 3144241152 its reverse (2511424413), we get a palindrome (5655665565).

The spelling of 3144241152 in words is "three billion, one hundred forty-four million, two hundred forty-one thousand, one hundred fifty-two".