Search a number
-
+
130331510144 = 2711131706603
BaseRepresentation
bin111100101100001011…
…1010000010110000000
3110110102000201201001022
41321120113100112000
54113404331311034
6135512400325012
712262510362143
oct1713027202600
9413360651038
10130331510144
1150300815660
1221313913768
13c3a0785a94
14644552205a
1535cbee8b2e
hex1e585d0580

130331510144 has 64 divisors (see below), whose sum is σ = 285411487680. Its totient is φ = 58789286400.

The previous prime is 130331510137. The next prime is 130331510147. The reversal of 130331510144 is 441015133031.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130331510147) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 168854 + ... + 537749.

It is an arithmetic number, because the mean of its divisors is an integer number (4459554495).

Almost surely, 2130331510144 is an apocalyptic number.

It is an amenable number.

130331510144 is an abundant number, since it is smaller than the sum of its proper divisors (155079977536).

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

130331510144 is a wasteful number, since it uses less digits than its factorization.

130331510144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 706759 (or 706747 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 26.

Adding to 130331510144 its reverse (441015133031), we get a palindrome (571346643175).

The spelling of 130331510144 in words is "one hundred thirty billion, three hundred thirty-one million, five hundred ten thousand, one hundred forty-four".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 128 131 176 262 352 524 704 1048 1408 1441 2096 2882 4192 5764 8384 11528 16768 23056 46112 92224 184448 706603 1413206 2826412 5652824 7772633 11305648 15545266 22611296 31090532 45222592 62181064 90445184 92564993 124362128 185129986 248724256 370259972 497448512 740519944 994897024 1018214923 1481039888 2036429846 2962079776 4072859692 5924159552 8145719384 11848319104 16291438768 32582877536 65165755072 130331510144