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1312244424 = 2332194572099
BaseRepresentation
bin100111000110111…
…0100001011001000
310101110012220221100
41032031310023020
510141413310144
6334113541400
744342615331
oct11615641310
93343186840
101312244424
11613800727
12307574860
1317bb342ba
14c63cb288
157a30d269
hex4e3742c8

1312244424 has 96 divisors (see below), whose sum is σ = 3751020000. Its totient is φ = 413289216.

The previous prime is 1312244393. The next prime is 1312244441. The reversal of 1312244424 is 4244422131.

1312244424 is a `hidden beast` number, since 13 + 1 + 224 + 4 + 424 = 666.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 624127 + ... + 626225.

It is an arithmetic number, because the mean of its divisors is an integer number (39073125).

Almost surely, 21312244424 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 1312244424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1875510000).

1312244424 is an abundant number, since it is smaller than the sum of its proper divisors (2438775576).

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

1312244424 is a wasteful number, since it uses less digits than its factorization.

1312244424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2587 (or 2580 counting only the distinct ones).

The product of its digits is 6144, while the sum is 27.

The square root of 1312244424 is about 36224.9144098368. The cubic root of 1312244424 is about 1094.8087136930.

Adding to 1312244424 its reverse (4244422131), we get a palindrome (5556666555).

The spelling of 1312244424 in words is "one billion, three hundred twelve million, two hundred forty-four thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 18 19 24 36 38 57 72 76 114 152 171 228 342 456 457 684 914 1368 1371 1828 2099 2742 3656 4113 4198 5484 6297 8226 8396 8683 10968 12594 16452 16792 17366 18891 25188 26049 32904 34732 37782 39881 50376 52098 69464 75564 78147 79762 104196 119643 151128 156294 159524 208392 239286 312588 319048 358929 478572 625176 717858 957144 959243 1435716 1918486 2871432 2877729 3836972 5755458 7673944 8633187 11510916 17266374 18225617 23021832 34532748 36451234 54676851 69065496 72902468 109353702 145804936 164030553 218707404 328061106 437414808 656122212 1312244424