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244040132130 = 235172943383729
BaseRepresentation
bin1110001101000111101…
…1001110011000100010
3212022220120120012101020
43203101323032120202
512444243233212010
6304035510550310
723426353616454
oct3432173163042
9768816505336
10244040132130
1194551324313
123b368668396
131a022404b62
14bb5108c2d4
1565349ac470
hex38d1ece622

244040132130 has 128 divisors (see below), whose sum is σ = 656454585600. Its totient is φ = 57761808384.

The previous prime is 244040132081. The next prime is 244040132153. The reversal of 244040132130 is 31231040442.

244040132130 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 244040132130.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 444106 + ... + 827834.

It is an arithmetic number, because the mean of its divisors is an integer number (5128551450).

Almost surely, 2244040132130 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 244040132130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (328227292800).

244040132130 is an abundant number, since it is smaller than the sum of its proper divisors (412414453470).

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

244040132130 is a wasteful number, since it uses less digits than its factorization.

244040132130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 383828.

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 244040132130 its reverse (31231040442), we get a palindrome (275271172572).

The spelling of 244040132130 in words is "two hundred forty-four billion, forty million, one hundred thirty-two thousand, one hundred thirty".

Divisors: 1 2 3 5 6 10 15 17 29 30 34 43 51 58 85 86 87 102 129 145 170 174 215 255 258 290 430 435 493 510 645 731 870 986 1247 1290 1462 1479 2193 2465 2494 2958 3655 3741 4386 4930 6235 7310 7395 7482 10965 12470 14790 18705 21199 21930 37410 42398 63597 105995 127194 211990 317985 383729 635970 767458 1151187 1918645 2302374 3837290 5755935 6523393 11128141 11511870 13046786 16500347 19570179 22256282 32616965 33000694 33384423 39140358 49501041 55640705 65233930 66768846 82501735 97850895 99002082 111281410 165003470 166922115 189178397 195701790 247505205 280505899 333844230 378356794 478510063 495010410 561011798 567535191 841517697 945891985 957020126 1135070382 1402529495 1435530189 1683035394 1891783970 2392550315 2805058990 2837675955 2871060378 4207588485 4785100630 5675351910 7177650945 8134671071 8415176970 14355301890 16269342142 24404013213 40673355355 48808026426 81346710710 122020066065 244040132130