Search a number
-
+
114525211244544 = 2113217365493551
BaseRepresentation
bin11010000010100011111010…
…100010001011100000000000
3120000111111120212212010010200
4122002203322202023200000
5110002340113034311134
61043324053345325200
733060113332453122
oct3202437242134000
9500444525763120
10114525211244544
1133544962099451
1210a17905636800
134bb98b1444629
14203d09a919212
15d390e47ee499
hex6828fa88b800

114525211244544 has 144 divisors (see below), whose sum is σ = 350226886332960. Its totient is φ = 35929477939200.

The previous prime is 114525211244537. The next prime is 114525211244551. The reversal of 114525211244544 is 445442112525411.

114525211244544 is a `hidden beast` number, since 1 + 1 + 4 + 5 + 2 + 52 + 1 + 12 + 44 + 544 = 666.

It is an interprime number because it is at equal distance from previous prime (114525211244537) and next prime (114525211244551).

It is a tau number, because it is divible by the number of its divisors (144).

It is a self number, because there is not a number n which added to its sum of digits gives 114525211244544.

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 182433432 + ... + 183060119.

It is an arithmetic number, because the mean of its divisors is an integer number (2432131155090).

Almost surely, 2114525211244544 is an apocalyptic number.

It is an amenable number.

114525211244544 is an abundant number, since it is smaller than the sum of its proper divisors (235701675088416).

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

114525211244544 is a wasteful number, since it uses less digits than its factorization.

114525211244544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 365493596 (or 365493573 counting only the distinct ones).

The product of its digits is 1024000, while the sum is 45.

Adding to 114525211244544 its reverse (445442112525411), we get a palindrome (559967323769955).

The spelling of 114525211244544 in words is "one hundred fourteen trillion, five hundred twenty-five billion, two hundred eleven million, two hundred forty-four thousand, five hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 32 34 36 48 51 64 68 72 96 102 128 136 144 153 192 204 256 272 288 306 384 408 512 544 576 612 768 816 1024 1088 1152 1224 1536 1632 2048 2176 2304 2448 3072 3264 4352 4608 4896 6144 6528 8704 9216 9792 13056 17408 18432 19584 26112 34816 39168 52224 78336 104448 156672 313344 365493551 730987102 1096480653 1461974204 2192961306 2923948408 3289441959 4385922612 5847896816 6213390367 6578883918 8771845224 11695793632 12426780734 13157767836 17543690448 18640171101 23391587264 24853561468 26315535672 35087380896 37280342202 46783174528 49707122936 52631071344 55920513303 70174761792 74560684404 93566349056 99414245872 105262142688 111841026606 140349523584 149121368808 187132698112 198828491744 210524285376 223682053212 280699047168 298242737616 374265396224 397656983488 421048570752 447364106424 561398094336 596485475232 748530792448 795313966976 842097141504 894728212848 1122796188672 1192970950464 1590627933952 1684194283008 1789456425696 2245592377344 2385941900928 3181255867904 3368388566016 3578912851392 4771883801856 6362511735808 6736777132032 7157825702784 9543767603712 12725023471616 14315651405568 19087535207424 28631302811136 38175070414848 57262605622272 114525211244544