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432431111424 = 28313401108011
BaseRepresentation
bin1100100101011101110…
…01110001110100000000
31112100011212102112021210
412102232321301310000
524041104331031144
6530353415250120
743146021541164
oct6225671616400
91470155375253
10432431111424
111574360a8424
126b984379940
1331a16592bc0
1416d03448ca4
15b3adb91ab9
hex64aee71d00

432431111424 has 144 divisors (see below), whose sum is σ = 1242530299584. Its totient is φ = 132722688000.

The previous prime is 432431111419. The next prime is 432431111443. The reversal of 432431111424 is 424111134234.

It is a happy number.

It is a super-2 number, since 2×4324311114242 (a number of 24 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 432431111391 and 432431111400.

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, 3949579 + ... + 4057589.

It is an arithmetic number, because the mean of its divisors is an integer number (8628682636).

Almost surely, 2432431111424 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 432431111424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (621265149792).

432431111424 is an abundant number, since it is smaller than the sum of its proper divisors (810099188160).

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

432431111424 is a wasteful number, since it uses less digits than its factorization.

432431111424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108444 (or 108430 counting only the distinct ones).

The product of its digits is 9216, while the sum is 30.

Adding to 432431111424 its reverse (424111134234), we get a palindrome (856542245658).

The spelling of 432431111424 in words is "four hundred thirty-two billion, four hundred thirty-one million, one hundred eleven thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 128 156 192 208 256 312 384 401 416 624 768 802 832 1203 1248 1604 1664 2406 2496 3208 3328 4812 4992 5213 6416 9624 9984 10426 12832 15639 19248 20852 25664 31278 38496 41704 51328 62556 76992 83408 102656 108011 125112 153984 166816 216022 250224 307968 324033 333632 432044 500448 648066 667264 864088 1000896 1296132 1334528 1404143 1728176 2001792 2592264 2808286 3456352 4003584 4212429 5184528 5616572 6912704 8424858 10369056 11233144 13825408 16849716 20738112 22466288 27650816 33699432 41476224 43312411 44932576 67398864 82952448 86624822 89865152 129937233 134797728 173249644 179730304 259874466 269595456 346499288 359460608 519748932 539190912 563061343 692998576 1039497864 1078381824 1126122686 1385997152 1689184029 2078995728 2252245372 2771994304 3378368058 4157991456 4504490744 5543988608 6756736116 8315982912 9008981488 11087977216 13513472232 16631965824 18017962976 27026944464 33263931648 36035925952 54053888928 72071851904 108107777856 144143703808 216215555712 432431111424