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130442324224 = 28225732
BaseRepresentation
bin111100101111011110…
…1111110100100000000
3110110200202020122101111
41321132331332210000
54114121213333344
6135531355413104
712265324314232
oct1713675764400
9413622218344
10130442324224
1150358322943
1221344a54194
13c3ba714844
14645612a252
1535d6ad7834
hex1e5ef7e900

130442324224 has 27 divisors (see below), whose sum is σ = 260386643433. Its totient is φ = 65218272768.

The previous prime is 130442324183. The next prime is 130442324231. The reversal of 130442324224 is 422423244031.

The square root of 130442324224 is 361168.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 7123360000 + 123318964224 = 84400^2 + 351168^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 5767402 + ... + 5789974.

Almost surely, 2130442324224 is an apocalyptic number.

130442324224 is the 361168-th square number.

It is an amenable number.

130442324224 is a deficient number, since it is larger than the sum of its proper divisors (129944319209).

130442324224 is an frugal number, since it uses more digits than its factorization.

130442324224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45162 (or 22575 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 31.

Adding to 130442324224 its reverse (422423244031), we get a palindrome (552865568255).

The spelling of 130442324224 in words is "one hundred thirty billion, four hundred forty-two million, three hundred twenty-four thousand, two hundred twenty-four".

Divisors: 1 2 4 8 16 32 64 128 256 22573 45146 90292 180584 361168 722336 1444672 2889344 5778688 509540329 1019080658 2038161316 4076322632 8152645264 16305290528 32610581056 65221162112 130442324224