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2144607444 = 22327193071459
BaseRepresentation
bin111111111010100…
…0001110011010100
312112110110100100100
41333311001303110
513343004414234
6552450214100
7104100601560
oct17765016324
95473410310
102144607444
11a00636351
124ba284330
132824088b5
14164b7c6a0
15c8429399
hex7fd41cd4

2144607444 has 144 divisors (see below), whose sum is σ = 6547340800. Its totient is φ = 578207808.

The previous prime is 2144607427. The next prime is 2144607473. The reversal of 2144607444 is 4447064412.

2144607444 is a `hidden beast` number, since 2 + 1 + 4 + 4 + 607 + 4 + 44 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 2144607399 and 2144607408.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1469187 + ... + 1470645.

Almost surely, 22144607444 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 2144607444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3273670400).

2144607444 is an abundant number, since it is smaller than the sum of its proper divisors (4402733356).

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

2144607444 is a wasteful number, since it uses less digits than its factorization.

2144607444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1802 (or 1797 counting only the distinct ones).

The product of its (nonzero) digits is 86016, while the sum is 36.

The square root of 2144607444 is about 46309.9065427690. The cubic root of 2144607444 is about 1289.5829118518.

The spelling of 2144607444 in words is "two billion, one hundred forty-four million, six hundred seven thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 19 21 28 36 38 42 57 63 76 84 114 126 133 171 228 252 266 307 342 399 532 614 684 798 921 1197 1228 1459 1596 1842 2149 2394 2763 2918 3684 4298 4377 4788 5526 5833 5836 6447 8596 8754 10213 11052 11666 12894 13131 17499 17508 19341 20426 23332 25788 26262 27721 30639 34998 38682 40831 40852 52497 52524 55442 61278 69996 77364 81662 83163 91917 104994 110884 122493 122556 163324 166326 183834 194047 209988 244986 249489 332652 367479 367668 388094 447913 489972 498978 582141 734958 776188 895826 997956 1164282 1343739 1469916 1746423 1791652 2328564 2687478 3135391 3492846 4031217 5374956 6270782 6985692 8062434 8510347 9406173 12541564 16124868 17020694 18812346 25531041 28218519 34041388 37624692 51062082 56437038 59572429 76593123 102124164 112874076 119144858 153186246 178717287 238289716 306372492 357434574 536151861 714869148 1072303722 2144607444