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3144315504 = 243119716133
BaseRepresentation
bin1011101101101010…
…0111001001110000
322010010120202222210
42323122213021300
522414421044004
61240001332120
7140630145411
oct27332471160
98103522883
103144315504
11137397a860
12739037040
133b1572c25
1421b851808
1513609e089
hexbb6a7270

3144315504 has 80 divisors (see below), whose sum is σ = 8871825024. Its totient is φ = 951686400.

The previous prime is 3144315451. The next prime is 3144315509. The reversal of 3144315504 is 4055134413.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3144315509) 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 15 ways as a sum of consecutive naturals, for example, 509622 + ... + 515754.

Almost surely, 23144315504 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 3144315504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4435912512).

3144315504 is an abundant number, since it is smaller than the sum of its proper divisors (5727509520).

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

3144315504 is a wasteful number, since it uses less digits than its factorization.

3144315504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7126 (or 7120 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 30.

The square root of 3144315504 is about 56074.1964186737. The cubic root of 3144315504 is about 1465.0148909559.

Adding to 3144315504 its reverse (4055134413), we get a palindrome (7199449917).

The spelling of 3144315504 in words is "three billion, one hundred forty-four million, three hundred fifteen thousand, five hundred four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 132 176 264 528 971 1942 2913 3884 5826 6133 7768 10681 11652 12266 15536 18399 21362 23304 24532 32043 36798 42724 46608 49064 64086 67463 73596 85448 98128 128172 134926 147192 170896 202389 256344 269852 294384 404778 512688 539704 809556 1079408 1619112 3238224 5955143 11910286 17865429 23820572 35730858 47641144 65506573 71461716 95282288 131013146 142923432 196519719 262026292 285846864 393039438 524052584 786078876 1048105168 1572157752 3144315504