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432412421232 = 243117111534689
BaseRepresentation
bin1100100101011011100…
…10011110110001110000
31112100010120020222011110
412102231302132301300
524041040034434412
6530351510513320
743145403635631
oct6225562366160
91470116228143
10432412421232
111574265a2190
126b97a065840
1331a1274aa0c
1416d00b81888
15b3ac1edd3c
hex64adc9ec70

432412421232 has 80 divisors (see below), whose sum is σ = 1235780547840. Its totient is φ = 129188505600.

The previous prime is 432412421227. The next prime is 432412421299. The reversal of 432412421232 is 232124214234.

432412421232 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

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

It is a self number, because there is not a number n which added to its sum of digits gives 432412421232.

It is a congruent number.

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, 5729857 + ... + 5804832.

It is an arithmetic number, because the mean of its divisors is an integer number (15447256848).

Almost surely, 2432412421232 is an apocalyptic number.

It is an amenable number.

432412421232 is an abundant number, since it is smaller than the sum of its proper divisors (803368126608).

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

432412421232 is a wasteful number, since it uses less digits than its factorization.

432412421232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11534782 (or 11534776 counting only the distinct ones).

The product of its digits is 18432, while the sum is 30.

Adding to 432412421232 its reverse (232124214234), we get a palindrome (664536635466).

The spelling of 432412421232 in words is "four hundred thirty-two billion, four hundred twelve million, four hundred twenty-one thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 71 88 132 142 176 213 264 284 426 528 568 781 852 1136 1562 1704 2343 3124 3408 4686 6248 9372 12496 18744 37488 11534689 23069378 34604067 46138756 69208134 92277512 126881579 138416268 184555024 253763158 276832536 380644737 507526316 553665072 761289474 818962919 1015052632 1522578948 1637925838 2030105264 2456888757 3045157896 3275851676 4913777514 6090315792 6551703352 9008592109 9827555028 13103406704 18017184218 19655110056 27025776327 36034368436 39310220112 54051552654 72068736872 108103105308 144137473744 216206210616 432412421232