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432331330112 = 26114394573061
BaseRepresentation
bin1100100101010001111…
…01001001001001000000
31112022220220200010001122
412102220331021021000
524040403310030422
6530335452451412
743143400446443
oct6225075111100
91468826603048
10432331330112
11157394846230
126b956a79b68
13319cb9c7ac6
1416cd40b365a
15b3a5031d42
hex64a8f49240

432331330112 has 112 divisors (see below), whose sum is σ = 940390661760. Its totient is φ = 195573657600.

The previous prime is 432331330103. The next prime is 432331330139. The reversal of 432331330112 is 211033133234.

It is a super-2 number, since 2×4323313301122 (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 15 ways as a sum of consecutive naturals, for example, 141237062 + ... + 141240122.

Almost surely, 2432331330112 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 432331330112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (470195330880).

432331330112 is an abundant number, since it is smaller than the sum of its proper divisors (508059331648).

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

432331330112 is a wasteful number, since it uses less digits than its factorization.

432331330112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3980 (or 3970 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 26.

Adding to 432331330112 its reverse (211033133234), we get a palindrome (643364463346).

The spelling of 432331330112 in words is "four hundred thirty-two billion, three hundred thirty-one million, three hundred thirty thousand, one hundred twelve".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 176 352 439 457 704 878 914 1756 1828 3061 3512 3656 4829 5027 6122 7024 7312 9658 10054 12244 14048 14624 19316 20108 24488 28096 29248 33671 38632 40216 48976 67342 77264 80432 97952 134684 154528 160864 195904 200623 269368 309056 321728 401246 538736 802492 1077472 1343779 1398877 1604984 2154944 2206853 2687558 2797754 3209968 4413706 5375116 5595508 6419936 8827412 10750232 11191016 12839872 14781569 15387647 17654824 21500464 22382032 29563138 30775294 35309648 43000928 44764064 59126276 61550588 70619296 86001856 89528128 118252552 123101176 141238592 236505104 246202352 473010208 492404704 614107003 946020416 984809408 1228214006 2456428012 4912856024 6755177033 9825712048 13510354066 19651424096 27020708132 39302848192 54041416264 108082832528 216165665056 432331330112