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432442243112 = 231173891933919
BaseRepresentation
bin1100100101011111001…
…00001111100000101000
31112100012122101002002112
412102233210033200220
524041120203234422
6530354454021452
743146215263115
oct6225744174050
91470178332075
10432442243112
11157441410870
126b988047888
1331a1898c8b9
1416d04b0590c
15b3aeb3eee2
hex64af90f828

432442243112 has 128 divisors (see below), whose sum is σ = 911663424000. Its totient is φ = 190651760640.

The previous prime is 432442243099. The next prime is 432442243133. The reversal of 432442243112 is 211342244234.

It is a happy number.

It is a super-2 number, since 2×4324422431122 (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 110343089 + ... + 110347007.

It is an arithmetic number, because the mean of its divisors is an integer number (7122370500).

Almost surely, 2432442243112 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 432442243112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (455831712000).

432442243112 is an abundant number, since it is smaller than the sum of its proper divisors (479221180888).

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

432442243112 is a wasteful number, since it uses less digits than its factorization.

432442243112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4291 (or 4287 counting only the distinct ones).

The product of its digits is 36864, while the sum is 32.

Adding to 432442243112 its reverse (211342244234), we get a palindrome (643784487346).

The spelling of 432442243112 in words is "four hundred thirty-two billion, four hundred forty-two million, two hundred forty-three thousand, one hundred twelve".

Divisors: 1 2 4 8 11 22 44 73 88 89 146 178 193 292 356 386 584 712 772 803 979 1544 1606 1958 2123 3212 3916 3919 4246 6424 6497 7832 7838 8492 12994 14089 15676 16984 17177 25988 28178 31352 34354 43109 51976 56356 68708 71467 86218 112712 137416 142934 154979 172436 188947 285868 286087 309958 344872 348791 377894 571736 572174 619916 697582 755788 756367 1144348 1239832 1253921 1395164 1511576 1512734 2288696 2507842 2790328 3025468 3146957 3836701 5015684 6050936 6293914 7673402 8320037 10031368 12587828 13793131 15346804 16640074 25175656 25461743 27586262 30693608 33280148 50923486 55172524 55214791 66560296 67316663 101846972 110345048 110429582 134633326 203693944 220859164 269266652 280079173 441718328 538533304 560158346 607362701 740483293 1120316692 1214725402 1480966586 2240633384 2429450804 2961933172 4858901608 4914116399 5923866344 9828232798 19656465596 39312931192 54055280389 108110560778 216221121556 432442243112