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423414414324 = 22321110110586419
BaseRepresentation
bin1100010100101010111…
…01110011101111110100
31111110220110220212011100
412022111131303233310
523414123042224244
6522303000210100
742406414065426
oct6122535635764
91443813825140
10423414414324
11153629442440
126a088769930
1330c0a517985
14166c9b28816
15b0322b7b69
hex6295773bf4

423414414324 has 72 divisors (see below), whose sum is σ = 1179157805280. Its totient is φ = 127037016000.

The previous prime is 423414414271. The next prime is 423414414343.

423414414324 is a `hidden beast` number, since 4 + 234 + 1 + 4 + 414 + 3 + 2 + 4 = 666.

423414414324 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5253214 + ... + 5333205.

It is an arithmetic number, because the mean of its divisors is an integer number (16377191740).

Almost surely, 2423414414324 is an apocalyptic number.

423414414324 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

423414414324 is an abundant number, since it is smaller than the sum of its proper divisors (755743390956).

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

423414414324 is a wasteful number, since it uses less digits than its factorization.

423414414324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10586541 (or 10586536 counting only the distinct ones).

The product of its digits is 147456, while the sum is 36.

It can be divided in two parts, 423414 and 414324, that added together give a palindrome (837738).

The spelling of 423414414324 in words is "four hundred twenty-three billion, four hundred fourteen million, four hundred fourteen thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 101 132 198 202 303 396 404 606 909 1111 1212 1818 2222 3333 3636 4444 6666 9999 13332 19998 39996 10586419 21172838 31759257 42345676 63518514 95277771 116450609 127037028 190555542 232901218 349351827 381111084 465802436 698703654 1048055481 1069228319 1397407308 2096110962 2138456638 3207684957 4192221924 4276913276 6415369914 9623054871 11761511509 12830739828 19246109742 23523023018 35284534527 38492219484 47046046036 70569069054 105853603581 141138138108 211707207162 423414414324