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423120412323 = 32717401985213
BaseRepresentation
bin1100010100000111111…
…00010001111010100011
31111110010222201000020100
412022003330101322203
523413022311143243
6522213454513443
742366214106640
oct6120374217243
91443128630210
10423120412323
11153498495384
126a006205883
1330b91639cab
141669ca76dc7
15b0165910d3
hex6283f11ea3

423120412323 has 48 divisors (see below), whose sum is σ = 741416884416. Its totient is φ = 226992844800.

The previous prime is 423120412307. The next prime is 423120412333. The reversal of 423120412323 is 323214021324.

423120412323 is a `hidden beast` number, since 423 + 1 + 2 + 0 + 4 + 1 + 232 + 3 = 666.

It is not a de Polignac number, because 423120412323 - 24 = 423120412307 is a prime.

It is not an unprimeable number, because it can be changed into a prime (423120412333) 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, 63136 + ... + 922077.

It is an arithmetic number, because the mean of its divisors is an integer number (15446185092).

Almost surely, 2423120412323 is an apocalyptic number.

423120412323 is a deficient number, since it is larger than the sum of its proper divisors (318296472093).

423120412323 is a wasteful number, since it uses less digits than its factorization.

423120412323 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 985644 (or 985641 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 423120412323 its reverse (323214021324), we get a palindrome (746334433647).

The spelling of 423120412323 in words is "four hundred twenty-three billion, one hundred twenty million, four hundred twelve thousand, three hundred twenty-three".

Divisors: 1 3 7 9 17 21 51 63 119 153 357 401 1071 1203 2807 3609 6817 8421 20451 25263 47719 61353 143157 429471 985213 2955639 6896491 8866917 16748621 20689473 50245863 62068419 117240347 150737589 351721041 395070413 1055163123 1185211239 2765492891 3555633717 6716197021 8296478673 20148591063 24889436019 47013379147 60445773189 141040137441 423120412323