Search a number
-
+
2144320544 = 251923259113
BaseRepresentation
bin111111111001111…
…1011110000100000
312112102220202210102
41333303323300200
513342421224134
6552440121532
7104065265252
oct17763736040
95472822712
102144320544
11a0045a843
124ba1662a8
13282338132
14164b05cd2
15c83be37e
hex7fcfbc20

2144320544 has 144 divisors (see below), whose sum is σ = 4765975200. Its totient is φ = 946649088.

The previous prime is 2144320543. The next prime is 2144320547. The reversal of 2144320544 is 4450234412.

It is a super-2 number, since 2×21443205442 = 9196221190840911872, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2144320543) 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 23 ways as a sum of consecutive naturals, for example, 18976232 + ... + 18976344.

It is an arithmetic number, because the mean of its divisors is an integer number (33097050).

Almost surely, 22144320544 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 2144320544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2382987600).

2144320544 is an abundant number, since it is smaller than the sum of its proper divisors (2621654656).

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

2144320544 is a wasteful number, since it uses less digits than its factorization.

2144320544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 247 (or 216 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 29.

The square root of 2144320544 is about 46306.8088298039. The cubic root of 2144320544 is about 1289.5254036058.

Adding to 2144320544 its reverse (4450234412), we get a palindrome (6594554956).

The spelling of 2144320544 in words is "two billion, one hundred forty-four million, three hundred twenty thousand, five hundred forty-four".

Divisors: 1 2 4 8 16 19 23 32 38 46 59 76 92 113 118 152 184 226 236 304 368 437 452 472 529 608 736 874 904 944 1058 1121 1357 1748 1808 1888 2116 2147 2242 2599 2714 3496 3616 4232 4294 4484 5198 5428 6667 6992 8464 8588 8968 10051 10396 10856 13334 13984 16928 17176 17936 20102 20792 21712 25783 26668 31211 34352 35872 40204 41584 43424 49381 51566 53336 59777 62422 68704 80408 83168 98762 103132 106672 119554 124844 126673 153341 160816 197524 206264 213344 239108 249688 253346 306682 321632 395048 412528 478216 499376 506692 593009 613364 790096 825056 956432 998752 1013384 1135763 1186018 1226728 1580192 1912864 2026768 2271526 2372036 2453456 2913479 3526843 4053536 4543052 4744072 4906912 5826958 7053686 9086104 9488144 11653916 14107372 18172208 18976288 23307832 28214744 36344416 46615664 56429488 67010017 93231328 112858976 134020034 268040068 536080136 1072160272 2144320544