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432423334112 = 25711199236657
BaseRepresentation
bin1100100101011100111…
…00000111000011100000
31112100011022210101211012
412102232130013003200
524041100333142422
6530352540440052
743145565456620
oct6225634070340
91470138711735
10432423334112
111574317761a0
126b981849028
1331a14a9bc43
1416d023c2880
15b3ad1574e2
hex64ae7070e0

432423334112 has 96 divisors (see below), whose sum is σ = 1117266151680. Its totient is φ = 159609415680.

The previous prime is 432423334103. The next prime is 432423334129. The reversal of 432423334112 is 211433324234.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4571513 + ... + 4665144.

It is an arithmetic number, because the mean of its divisors is an integer number (11638189080).

Almost surely, 2432423334112 is an apocalyptic number.

It is an amenable number.

432423334112 is an abundant number, since it is smaller than the sum of its proper divisors (684842817568).

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

432423334112 is a wasteful number, since it uses less digits than its factorization.

432423334112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9236704 (or 9236696 counting only the distinct ones).

The product of its digits is 41472, while the sum is 32.

Adding to 432423334112 its reverse (211433324234), we get a palindrome (643856658346).

The spelling of 432423334112 in words is "four hundred thirty-two billion, four hundred twenty-three million, three hundred thirty-four thousand, one hundred twelve".

Divisors: 1 2 4 7 8 11 14 16 19 22 28 32 38 44 56 76 77 88 112 133 152 154 176 209 224 266 304 308 352 418 532 608 616 836 1064 1232 1463 1672 2128 2464 2926 3344 4256 5852 6688 11704 23408 46816 9236657 18473314 36946628 64656599 73893256 101603227 129313198 147786512 175496483 203206454 258626396 295573024 350992966 406412908 517252792 701985932 711222589 812825816 1034505584 1228475381 1403971864 1422445178 1625651632 1930461313 2069011168 2456950762 2807943728 2844890356 3251303264 3860922626 4913901524 5615887456 5689780712 7721845252 9827803048 11379561424 13513229191 15443690504 19655606096 22759122848 27026458382 30887381008 39311212192 54052916764 61774762016 108105833528 216211667056 432423334112