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144623066346 = 2321119471814519
BaseRepresentation
bin1000011010110000110…
…1001101110011101010
3111211022000210222112200
42012230031031303222
54332142001110341
6150234450121030
713306615531563
oct2065415156352
9454260728480
10144623066346
1156374a50330
1224041b80176
131083a5c7305
146ddd61116a
153b66a1ddb6
hex21ac34dcea

144623066346 has 192 divisors, whose sum is σ = 369595699200. Its totient is φ = 40401763200.

The previous prime is 144623066321. The next prime is 144623066347. The reversal of 144623066346 is 643660326441.

144623066346 is a `hidden beast` number, since 1 + 4 + 4 + 6 + 2 + 3 + 0 + 6 + 634 + 6 = 666.

144623066346 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (144623066347) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 32001075 + ... + 32005593.

It is an arithmetic number, because the mean of its divisors is an integer number (1924977600).

Almost surely, 2144623066346 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 144623066346, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184797849600).

144623066346 is an abundant number, since it is smaller than the sum of its proper divisors (224972632854).

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

144623066346 is a wasteful number, since it uses less digits than its factorization.

144623066346 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4785 (or 4782 counting only the distinct ones).

The product of its (nonzero) digits is 1492992, while the sum is 45.

The spelling of 144623066346 in words is "one hundred forty-four billion, six hundred twenty-three million, sixty-six thousand, three hundred forty-six".