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420114144 = 2534376189
BaseRepresentation
bin11001000010100…
…110111011100000
31002021112000021010
4121002212323200
51330022123034
6105404300520
713260624402
oct3102467340
91067460233
10420114144
111a6163a7a
12b8841740
1369064968
143db1cb72
1526d383e9
hex190a6ee0

420114144 has 24 divisors (see below), whose sum is σ = 1102799880. Its totient is φ = 140038016.

The previous prime is 420114143. The next prime is 420114157. The reversal of 420114144 is 441411024.

It is a tau number, because it is divible by the number of its divisors (24).

It is a self number, because there is not a number n which added to its sum of digits gives 420114144.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (420114143) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2187999 + ... + 2188190.

It is an arithmetic number, because the mean of its divisors is an integer number (45949995).

Almost surely, 2420114144 is an apocalyptic number.

It is an amenable number.

420114144 is an abundant number, since it is smaller than the sum of its proper divisors (682685736).

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

420114144 is a wasteful number, since it uses less digits than its factorization.

420114144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4376202 (or 4376194 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 21.

The square root of 420114144 is about 20496.6861711839. The cubic root of 420114144 is about 748.9550746285.

Adding to 420114144 its reverse (441411024), we get a palindrome (861525168).

The spelling of 420114144 in words is "four hundred twenty million, one hundred fourteen thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 4376189 8752378 13128567 17504756 26257134 35009512 52514268 70019024 105028536 140038048 210057072 420114144