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2144202112 = 271317229331
BaseRepresentation
bin111111111001101…
…1110110110000000
312112102200202100001
41333303132312000
513342403431422
6552433405344
7104064263053
oct17763366600
95472622301
102144202112
11a00389868
124ba109854
132822c6260
14164ab4a9a
15c8399227
hex7fcded80

2144202112 has 128 divisors (see below), whose sum is σ = 4906893600. Its totient is φ = 924549120.

The previous prime is 2144202101. The next prime is 2144202113. The reversal of 2144202112 is 2112024412.

It is a tau number, because it is divible by the number of its divisors (128).

It is a self number, because there is not a number n which added to its sum of digits gives 2144202112.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2144202113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6477787 + ... + 6478117.

Almost surely, 22144202112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2144202112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2453446800).

2144202112 is an abundant number, since it is smaller than the sum of its proper divisors (2762691488).

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

2144202112 is a wasteful number, since it uses less digits than its factorization.

2144202112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 604 (or 592 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 19.

The square root of 2144202112 is about 46305.5300369189. The cubic root of 2144202112 is about 1289.5016627703.

Adding to 2144202112 its reverse (2112024412), we get a palindrome (4256226524).

The spelling of 2144202112 in words is "two billion, one hundred forty-four million, two hundred two thousand, one hundred twelve".

Divisors: 1 2 4 8 13 16 17 26 32 34 52 64 68 104 128 136 208 221 229 272 331 416 442 458 544 662 832 884 916 1088 1324 1664 1768 1832 2176 2648 2977 3536 3664 3893 4303 5296 5627 5954 7072 7328 7786 8606 10592 11254 11908 14144 14656 15572 17212 21184 22508 23816 28288 29312 31144 34424 42368 45016 47632 50609 62288 68848 73151 75799 90032 95264 101218 124576 137696 146302 151598 180064 190528 202436 249152 275392 292604 303196 360128 381056 404872 498304 550784 585208 606392 720256 809744 985387 1170416 1212784 1288583 1619488 1970774 2340832 2425568 2577166 3238976 3941548 4681664 4851136 5154332 6477952 7883096 9363328 9702272 10308664 15766192 16751579 20617328 31532384 33503158 41234656 63064768 67006316 82469312 126129536 134012632 164938624 268025264 536050528 1072101056 2144202112