Search a number
-
+
3142234144 = 25725754583
BaseRepresentation
bin1011101101001010…
…1011000000100000
322002222200000220101
42323102223000200
522413402443034
61235444552144
7140603356330
oct27322530040
98088600811
103142234144
111372789025
127383b2654
133b0cc475a
1421b46d0c0
15135cdc514
hexbb4ab020

3142234144 has 48 divisors (see below), whose sum is σ = 7097666688. Its totient is φ = 1341407232.

The previous prime is 3142234133. The next prime is 3142234153. The reversal of 3142234144 is 4414322413.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 30277 + ... + 84859.

It is an arithmetic number, because the mean of its divisors is an integer number (147868056).

Almost surely, 23142234144 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 3142234144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3548833344).

3142234144 is an abundant number, since it is smaller than the sum of its proper divisors (3955432544).

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

3142234144 is a wasteful number, since it uses less digits than its factorization.

3142234144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54857 (or 54849 counting only the distinct ones).

The product of its digits is 9216, while the sum is 28.

The square root of 3142234144 is about 56055.6343644419. The cubic root of 3142234144 is about 1464.6915671205.

Adding to 3142234144 its reverse (4414322413), we get a palindrome (7556556557).

The spelling of 3142234144 in words is "three billion, one hundred forty-two million, two hundred thirty-four thousand, one hundred forty-four".

Divisors: 1 2 4 7 8 14 16 28 32 56 112 224 257 514 1028 1799 2056 3598 4112 7196 8224 14392 28784 54583 57568 109166 218332 382081 436664 764162 873328 1528324 1746656 3056648 6113296 12226592 14027831 28055662 56111324 98194817 112222648 196389634 224445296 392779268 448890592 785558536 1571117072 3142234144