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414321321044 = 22617123916031
BaseRepresentation
bin1100000011101110111…
…10011010010001010100
31110121102202122212011202
412001313132122101110
523242012224233134
6514200411452032
741635161056411
oct6016736322124
91417382585152
10414321321044
1114a792647914
126836b457018
13300bb6a17c7
14160a61dd108
15ab9dd4cd7e
hex607779a454

414321321044 has 24 divisors (see below), whose sum is σ = 747328167936. Its totient is φ = 200894652000.

The previous prime is 414321321013. The next prime is 414321321049. The reversal of 414321321044 is 440123123414.

It is a super-3 number, since 3×4143213210443 (a number of 36 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 414321320998 and 414321321016.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (414321321049) 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 7 ways as a sum of consecutive naturals, for example, 11940692 + ... + 11975339.

It is an arithmetic number, because the mean of its divisors is an integer number (31138673664).

Almost surely, 2414321321044 is an apocalyptic number.

It is an amenable number.

414321321044 is a deficient number, since it is larger than the sum of its proper divisors (333006846892).

414321321044 is a wasteful number, since it uses less digits than its factorization.

414321321044 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23916167 (or 23916165 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 29.

Adding to 414321321044 its reverse (440123123414), we get a palindrome (854444444458).

The spelling of 414321321044 in words is "four hundred fourteen billion, three hundred twenty-one million, three hundred twenty-one thousand, forty-four".

Divisors: 1 2 4 61 71 122 142 244 284 4331 8662 17324 23916031 47832062 95664124 1458877891 1698038201 2917755782 3396076402 5835511564 6792152804 103580330261 207160660522 414321321044