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144214203320 = 235112257269431
BaseRepresentation
bin1000011001001111010…
…1100001101110111000
3111210020112110120220122
42012103311201232320
54330322314001240
6150130122512412
713263522334235
oct2062365415670
9453215416818
10144214203320
1156185181500
1223b49065708
13107a39a1825
146da11c078c
153b40ba94b5
hex2193d61bb8

144214203320 has 192 divisors, whose sum is σ = 360214646400. Its totient is φ = 51922534400.

The previous prime is 144214203317. The next prime is 144214203377. The reversal of 144214203320 is 23302412441.

144214203320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 144214203320.

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, 334603505 + ... + 334603935.

It is an arithmetic number, because the mean of its divisors is an integer number (1876117950).

Almost surely, 2144214203320 is an apocalyptic number.

144214203320 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 144214203320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180107323200).

144214203320 is an abundant number, since it is smaller than the sum of its proper divisors (216000443080).

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

144214203320 is a wasteful number, since it uses less digits than its factorization.

144214203320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 990 (or 975 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 26.

Adding to 144214203320 its reverse (23302412441), we get a palindrome (167516615761).

The spelling of 144214203320 in words is "one hundred forty-four billion, two hundred fourteen million, two hundred three thousand, three hundred twenty".