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144568243950 = 2352131771239257
BaseRepresentation
bin1000011010100011110…
…0000101011011101110
3111211011012122201100120
42012220330011123232
54332033432301300
6150225211105410
713305351540534
oct2065074053356
9454135581316
10144568243950
1156347006469
1224027742266
131082c140c20
146dd6220154
153b61ce03a0
hex21a8f056ee

144568243950 has 384 divisors, whose sum is σ = 417933250560. Its totient is φ = 32754892800.

The previous prime is 144568243931. The next prime is 144568243961. The reversal of 144568243950 is 59342865441.

It is a happy number.

144568243950 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a junction number, because it is equal to n+sod(n) for n = 144568243893 and 144568243902.

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 191 ways as a sum of consecutive naturals, for example, 562522222 + ... + 562522478.

It is an arithmetic number, because the mean of its divisors is an integer number (1088367840).

Almost surely, 2144568243950 is an apocalyptic number.

144568243950 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 144568243950, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208966625280).

144568243950 is an abundant number, since it is smaller than the sum of its proper divisors (273365006610).

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

144568243950 is a wasteful number, since it uses less digits than its factorization.

144568243950 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 612 (or 607 counting only the distinct ones).

The product of its (nonzero) digits is 4147200, while the sum is 51.

The spelling of 144568243950 in words is "one hundred forty-four billion, five hundred sixty-eight million, two hundred forty-three thousand, nine hundred fifty".