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2144201024 = 26717281539
BaseRepresentation
bin111111111001101…
…1110100101000000
312112102200200211202
41333303132211000
513342403413044
6552433400332
7104064256640
oct17763364500
95472620752
102144201024
11a00388a69
124ba1090a8
132822c5904
14164ab4520
15c8398c4e
hex7fcde940

2144201024 has 56 divisors (see below), whose sum is σ = 5148803520. Its totient is φ = 864884736.

The previous prime is 2144200999. The next prime is 2144201027. The reversal of 2144201024 is 4201024412.

It is a tau number, because it is divible by the number of its divisors (56).

It is a junction number, because it is equal to n+sod(n) for n = 2144200987 and 2144201005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2144201027) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 133154 + ... + 148385.

It is an arithmetic number, because the mean of its divisors is an integer number (91942920).

Almost surely, 22144201024 is an apocalyptic number.

It is an amenable number.

2144201024 is an abundant number, since it is smaller than the sum of its proper divisors (3004602496).

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

2144201024 is a wasteful number, since it uses less digits than its factorization.

2144201024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 281575 (or 281565 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

The square root of 2144201024 is about 46305.5182888606. The cubic root of 2144201024 is about 1289.5014446661.

Adding to 2144201024 its reverse (4201024412), we get a palindrome (6345225436).

The spelling of 2144201024 in words is "two billion, one hundred forty-four million, two hundred one thousand, twenty-four".

Divisors: 1 2 4 7 8 14 16 17 28 32 34 56 64 68 112 119 136 224 238 272 448 476 544 952 1088 1904 3808 7616 281539 563078 1126156 1970773 2252312 3941546 4504624 4786163 7883092 9009248 9572326 15766184 18018496 19144652 31532368 33503141 38289304 63064736 67006282 76578608 126129472 134012564 153157216 268025128 306314432 536050256 1072100512 2144201024