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144063354240 = 273251312715149
BaseRepresentation
bin1000011000101011011…
…0000101010110000000
3111202212000121122212200
42012022312011112000
54330020204313430
6150103133353200
713260011210061
oct2061266052600
9452760548780
10144063354240
115610800a343
1223b06638800
131077b666310
146d89154568
153b3280d460
hex218ad85580

144063354240 has 384 divisors, whose sum is σ = 539989632000. Its totient is φ = 35180199936.

The previous prime is 144063354223. The next prime is 144063354271. The reversal of 144063354240 is 42453360441.

144063354240 is a `hidden beast` number, since 1 + 4 + 4 + 0 + 63 + 354 + 240 = 666.

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 junction number, because it is equal to n+sod(n) for n = 144063354195 and 144063354204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9502186 + ... + 9517334.

It is an arithmetic number, because the mean of its divisors is an integer number (1406223000).

Almost surely, 2144063354240 is an apocalyptic number.

144063354240 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 144063354240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (269994816000).

144063354240 is an abundant number, since it is smaller than the sum of its proper divisors (395926277760).

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

144063354240 is a wasteful number, since it uses less digits than its factorization.

144063354240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15314 (or 15299 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 36.

The spelling of 144063354240 in words is "one hundred forty-four billion, sixty-three million, three hundred fifty-four thousand, two hundred forty".