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424144324000 = 2553106036081
BaseRepresentation
bin1100010110000001111…
…10001100010110100000
31111112210100101010000001
412023000332030112200
523422121421332000
6522503232505344
742433456161115
oct6130076142640
91445710333001
10424144324000
11153973460381
126a2510ab254
1330cc57c9ba7
1416758a4a90c
15b0763e746a
hex62c0f8c5a0

424144324000 has 48 divisors (see below), whose sum is σ = 1042122613896. Its totient is φ = 169657728000.

The previous prime is 424144323943. The next prime is 424144324013. The reversal of 424144324000 is 423441424.

It can be written as a sum of positive squares in 4 ways, for example, as 254423395216 + 169720928784 = 504404^2 + 411972^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 424144324000.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 53014041 + ... + 53022040.

Almost surely, 2424144324000 is an apocalyptic number.

424144324000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

424144324000 is an abundant number, since it is smaller than the sum of its proper divisors (617978289896).

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

424144324000 is a wasteful number, since it uses less digits than its factorization.

424144324000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106036106 (or 106036088 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 28.

Adding to 424144324000 its reverse (423441424), we get a palindrome (424567765424).

The spelling of 424144324000 in words is "four hundred twenty-four billion, one hundred forty-four million, three hundred twenty-four thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 200 250 400 500 800 1000 2000 4000 106036081 212072162 424144324 530180405 848288648 1060360810 1696577296 2120721620 2650902025 3393154592 4241443240 5301804050 8482886480 10603608100 13254510125 16965772960 21207216200 26509020250 42414432400 53018040500 84828864800 106036081000 212072162000 424144324000