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143412220224 = 2633713371572
BaseRepresentation
bin1000010110010000001…
…0001101000101000000
3111201011122101121221000
42011210002031011000
54322202012021344
6145514353332000
713234613521140
oct2054402150500
9451148347830
10143412220224
1155903506759
1223964567000
13106a67a6110
146d2689a920
153ae558ea69
hex216408d140

143412220224 has 672 divisors, whose sum is σ = 536339247360. Its totient is φ = 36566360064.

The previous prime is 143412220157. The next prime is 143412220279. The reversal of 143412220224 is 422022214341.

It is a happy number.

143412220224 is a `hidden beast` number, since 1 + 4 + 3 + 412 + 2 + 20 + 224 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a super-2 number, since 2×1434122202242 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 913453554 + ... + 913453710.

It is an arithmetic number, because the mean of its divisors is an integer number (798123880).

Almost surely, 2143412220224 is an apocalyptic number.

143412220224 is a gapful number since it is divisible by the number (14) 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 143412220224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (268169623680).

143412220224 is an abundant number, since it is smaller than the sum of its proper divisors (392927027136).

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

143412220224 is a wasteful number, since it uses less digits than its factorization.

143412220224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 392 (or 219 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 143412220224 its reverse (422022214341), we get a palindrome (565434434565).

The spelling of 143412220224 in words is "one hundred forty-three billion, four hundred twelve million, two hundred twenty thousand, two hundred twenty-four".