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4423142310444 = 223311132914296911
BaseRepresentation
bin100000001011101011111…
…0100111000001000101100
3120122211220101121020202000
41000113113310320020230
51034432043412413234
613223544042132300
7634363406206014
oct100272764701054
916584811536660
104423142310444
111455931583370
125b52994b1090
1326113cb31aa0
1411411cc76c44
157a0c9424899
hex405d7d3822c

4423142310444 has 384 divisors, whose sum is σ = 13948526592000. Its totient is φ = 1193570380800.

The previous prime is 4423142310443. The next prime is 4423142310449. The reversal of 4423142310444 is 4440132413244.

4423142310444 is a `hidden beast` number, since 4 + 42 + 3 + 142 + 31 + 0 + 444 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 4423142310399 and 4423142310408.

It is not an unprimeable number, because it can be changed into a prime (4423142310443) 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 127 ways as a sum of consecutive naturals, for example, 640011349 + ... + 640018259.

It is an arithmetic number, because the mean of its divisors is an integer number (36324288000).

Almost surely, 24423142310444 is an apocalyptic number.

4423142310444 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4423142310444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6974263296000).

4423142310444 is an abundant number, since it is smaller than the sum of its proper divisors (9525384281556).

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

4423142310444 is a wasteful number, since it uses less digits than its factorization.

4423142310444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8406 (or 8398 counting only the distinct ones).

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

Adding to 4423142310444 its reverse (4440132413244), we get a palindrome (8863274723688).

The spelling of 4423142310444 in words is "four trillion, four hundred twenty-three billion, one hundred forty-two million, three hundred ten thousand, four hundred forty-four".