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32401410423 = 317241979397
BaseRepresentation
bin11110001011010001…
…100100100101110111
310002122002222012011220
4132023101210211313
51012324230113143
622515054401423
72224636305264
oct361321444567
9102562865156
1032401410423
111281782a248
126343200273
133094a55a05
1417d535426b
15c9987cd83
hex78b464977

32401410423 has 48 divisors (see below), whose sum is σ = 47501702304. Its totient is φ = 19627868160.

The previous prime is 32401410383. The next prime is 32401410463.

32401410423 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (32401410383) and next prime (32401410463).

It is not a de Polignac number, because 32401410423 - 216 = 32401344887 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 32401410393 and 32401410402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32401410463) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3443361 + ... + 3452757.

It is an arithmetic number, because the mean of its divisors is an integer number (989618798).

Almost surely, 232401410423 is an apocalyptic number.

32401410423 is a deficient number, since it is larger than the sum of its proper divisors (15100291881).

32401410423 is a wasteful number, since it uses less digits than its factorization.

32401410423 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9572 (or 9555 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The spelling of 32401410423 in words is "thirty-two billion, four hundred one million, four hundred ten thousand, four hundred twenty-three".

Divisors: 1 3 17 41 51 97 123 289 291 697 867 1649 2091 3977 4947 9397 11849 11931 28033 28191 35547 67609 84099 159749 202827 385277 479247 911509 1149353 1155831 2715733 2734527 3448059 6549709 8147199 15495653 19649127 37371869 46486959 111345053 112115607 263426101 334035159 635321773 790278303 1905965319 10800470141 32401410423