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2144264240 = 245231165361
BaseRepresentation
bin111111111001110…
…1110000000110000
312112102210220120002
41333303232000300
513342412423430
6552435005132
7104064642146
oct17763560060
95472726502
102144264240
11a00421508
124ba1397a8
13282318611
14164acd596
15c83ac845
hex7fcee030

2144264240 has 40 divisors (see below), whose sum is σ = 5202175968. Its totient is φ = 820413440.

The previous prime is 2144264233. The next prime is 2144264261. The reversal of 2144264240 is 424624412.

It is a tau number, because it is divible by the number of its divisors (40).

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 7 ways as a sum of consecutive naturals, for example, 580841 + ... + 584520.

Almost surely, 22144264240 is an apocalyptic number.

2144264240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2144264240 is an abundant number, since it is smaller than the sum of its proper divisors (3057911728).

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

2144264240 is a wasteful number, since it uses less digits than its factorization.

2144264240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1165397 (or 1165391 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 29.

The square root of 2144264240 is about 46306.2008806596. The cubic root of 2144264240 is about 1289.5141170355.

Adding to 2144264240 its reverse (424624412), we get a palindrome (2568888652).

The spelling of 2144264240 in words is "two billion, one hundred forty-four million, two hundred sixty-four thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 23 40 46 80 92 115 184 230 368 460 920 1840 1165361 2330722 4661444 5826805 9322888 11653610 18645776 23307220 26803303 46614440 53606606 93228880 107213212 134016515 214426424 268033030 428852848 536066060 1072132120 2144264240