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424341143424 = 273211378910169
BaseRepresentation
bin1100010110011001011…
…00111111111110000000
31111120022001201120111100
412023030230333332000
523423022313042144
6522534543214400
742441366130512
oct6131454777600
91446261646440
10424341143424
11153a64570760
126a2a6ba7400
133102750c5a3
1416776c41bb2
15b088824269
hex62ccb3ff80

424341143424 has 384 divisors, whose sum is σ = 1383604092000. Its totient is φ = 123694940160.

The previous prime is 424341143423. The next prime is 424341143491.

424341143424 is a `hidden beast` number, since 42 + 434 + 1 + 143 + 42 + 4 = 666.

424341143424 is nontrivially palindromic in base 10.

It is a tau number, because it is divible by the number of its divisors (384).

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 not an unprimeable number, because it can be changed into a prime (424341143423) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 41723812 + ... + 41733980.

Almost surely, 2424341143424 is an apocalyptic number.

424341143424 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 424341143424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (691802046000).

424341143424 is an abundant number, since it is smaller than the sum of its proper divisors (959262948576).

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

424341143424 is a wasteful number, since it uses less digits than its factorization.

424341143424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10326 (or 10311 counting only the distinct ones).

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

It can be divided in two parts, 424341 and 143424, that added together give a palindrome (567765).

The spelling of 424341143424 in words is "four hundred twenty-four billion, three hundred forty-one million, one hundred forty-three thousand, four hundred twenty-four".