Search a number
-
+
3130110144 = 26327776317
BaseRepresentation
bin1011101010010001…
…1011000011000000
322002010212001220100
42322210123003000
522402302011034
61234333042400
7140365332360
oct27244330300
98063761810
103130110144
111366958097
12734326400
133ab63b1a5
142199d49a0
15134be5099
hexba91b0c0

3130110144 has 84 divisors (see below), whose sum is σ = 10253608144. Its totient is φ = 894316032.

The previous prime is 3130110143. The next prime is 3130110187. The reversal of 3130110144 is 4410110313.

It is a tau number, because it is divible by the number of its divisors (84).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (3130110143) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 384127 + ... + 392190.

Almost surely, 23130110144 is an apocalyptic number.

It is an amenable number.

3130110144 is an abundant number, since it is smaller than the sum of its proper divisors (7123498000).

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

3130110144 is a wasteful number, since it uses less digits than its factorization.

3130110144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 776342 (or 776329 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 3130110144 is about 55947.3872848411. The cubic root of 3130110144 is about 1462.8053498741.

Adding to 3130110144 its reverse (4410110313), we get a palindrome (7540220457).

The spelling of 3130110144 in words is "three billion, one hundred thirty million, one hundred ten thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 64 72 84 96 112 126 144 168 192 224 252 288 336 448 504 576 672 1008 1344 2016 4032 776317 1552634 2328951 3105268 4657902 5434219 6210536 6986853 9315804 10868438 12421072 13973706 16302657 18631608 21736876 24842144 27947412 32605314 37263216 43473752 48907971 49684288 55894824 65210628 74526432 86947504 97815942 111789648 130421256 149052864 173895008 195631884 223579296 260842512 347790016 391263768 447158592 521685024 782527536 1043370048 1565055072 3130110144