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2144144020 = 225211508091
BaseRepresentation
bin111111111001101…
…0000101010010100
312112102120210122111
41333303100222110
513342400102040
6552432240404
7104063631514
oct17763205224
95472523574
102144144020
11a0034a157
124ba0a0104
132822a5995
14164a9b844
15c8386dea
hex7fcd0a94

2144144020 has 24 divisors (see below), whose sum is σ = 4524051168. Its totient is φ = 853591200.

The previous prime is 2144144017. The next prime is 2144144021. The reversal of 2144144020 is 204414412.

It is a junction number, because it is equal to n+sod(n) for n = 2144143982 and 2144144000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2144144021) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 249826 + ... + 258265.

It is an arithmetic number, because the mean of its divisors is an integer number (188502132).

Almost surely, 22144144020 is an apocalyptic number.

2144144020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2144144020 is an abundant number, since it is smaller than the sum of its proper divisors (2379907148).

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

2144144020 is a wasteful number, since it uses less digits than its factorization.

2144144020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 508311 (or 508309 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 22.

The square root of 2144144020 is about 46304.9027641782. The cubic root of 2144144020 is about 1289.4900173495.

Adding to 2144144020 its reverse (204414412), we get a palindrome (2348558432).

The spelling of 2144144020 in words is "two billion, one hundred forty-four million, one hundred forty-four thousand, twenty".

Divisors: 1 2 4 5 10 20 211 422 844 1055 2110 4220 508091 1016182 2032364 2540455 5080910 10161820 107207201 214414402 428828804 536036005 1072072010 2144144020