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144543214310320 = 245719432771140533
BaseRepresentation
bin100000110111011000010110…
…111100011001001110110000
3200221210012022010111101002201
4200313120112330121032300
5122421144000330412240
61231230122544552544
742305621411533510
oct4067302674311660
9627705263441081
10144543214310320
1142068484276261
121426553a022754
13628649c618707
142799d00c8d840
1511a9d79d89d9a
hex837616f193b0

144543214310320 has 320 divisors, whose sum is σ = 415182113786880. Its totient is φ = 45691938238464.

The previous prime is 144543214310303. The next prime is 144543214310347. The reversal of 144543214310320 is 23013412345441.

It is a self number, because there is not a number n which added to its sum of digits gives 144543214310320.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 126162774 + ... + 127303306.

It is an arithmetic number, because the mean of its divisors is an integer number (1297444105584).

Almost surely, 2144543214310320 is an apocalyptic number.

144543214310320 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 144543214310320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207591056893440).

144543214310320 is an abundant number, since it is smaller than the sum of its proper divisors (270638899476560).

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

144543214310320 is a wasteful number, since it uses less digits than its factorization.

144543214310320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1140892 (or 1140886 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 37.

Adding to 144543214310320 its reverse (23013412345441), we get a palindrome (167556626655761).

The spelling of 144543214310320 in words is "one hundred forty-four trillion, five hundred forty-three billion, two hundred fourteen million, three hundred ten thousand, three hundred twenty".