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143221442112320 = 265112131012817137
BaseRepresentation
bin100000100100001001010111…
…001011100110101101000000
3200210002211120112220122222212
4200210021113023212231000
5122233020003140043240
61224335004443321252
742111256564323155
oct4044112713465500
9623084515818885
10143221442112320
11416a896632a500
1214091337220228
1361bb95493bca0
142751d51d0222c
1511857b9833165
hex8242572e6b40

143221442112320 has 336 divisors, whose sum is σ = 407702093544144. Its totient is φ = 47598329856000.

The previous prime is 143221442112317. The next prime is 143221442112349. The reversal of 143221442112320 is 23211244122341.

It can be written as a sum of positive squares in 8 ways, for example, as 373624117504 + 142847817994816 = 611248^2 + 11951896^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 49430792 + ... + 52247928.

It is an arithmetic number, because the mean of its divisors is an integer number (1213399087929).

Almost surely, 2143221442112320 is an apocalyptic number.

143221442112320 is a gapful number since it is divisible by the number (10) 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 143221442112320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203851046772072).

143221442112320 is an abundant number, since it is smaller than the sum of its proper divisors (264480651431824).

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

143221442112320 is a wasteful number, since it uses less digits than its factorization.

143221442112320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2817290 (or 2817269 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 32.

Adding to 143221442112320 its reverse (23211244122341), we get a palindrome (166432686234661).

It can be divided in two parts, 1432214 and 42112320, that added together give a palindrome (43544534).

The spelling of 143221442112320 in words is "one hundred forty-three trillion, two hundred twenty-one billion, four hundred forty-two million, one hundred twelve thousand, three hundred twenty".