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144527928220 = 225134183379431
BaseRepresentation
bin1000011010011010001…
…0010010101110011100
3111211001101210110120101
42012212202102232130
54331443122200340
6150221211030444
713304352056134
oct2064642225634
9454041713511
10144527928220
115632627a685
122401613b424
1310823996770
146dd0b27ac4
153b5d4c9c9a
hex21a6892b9c

144527928220 has 192 divisors, whose sum is σ = 340544010240. Its totient is φ = 51180595200.

The previous prime is 144527928203. The next prime is 144527928247. The reversal of 144527928220 is 22829725441.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 335331405 + ... + 335331835.

It is an arithmetic number, because the mean of its divisors is an integer number (1773666720).

Almost surely, 2144527928220 is an apocalyptic number.

144527928220 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 144527928220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170272005120).

144527928220 is an abundant number, since it is smaller than the sum of its proper divisors (196016082020).

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

144527928220 is a wasteful number, since it uses less digits than its factorization.

144527928220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 956 (or 954 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 46.

The spelling of 144527928220 in words is "one hundred forty-four billion, five hundred twenty-seven million, nine hundred twenty-eight thousand, two hundred twenty".