Search a number
-
+
114224114025 = 325271934910937
BaseRepresentation
bin110101001100001001…
…0011010100101101001
3101220211110211012110200
41222120102122211221
53332412333122100
6124250203102413
711152402643460
oct1523022324551
9356743735420
10114224114025
114449559753a
121a179511a09
13aa04699768
1457581d59d7
152e87d8be00
hex1a9849a969

114224114025 has 144 divisors (see below), whose sum is σ = 246848784000. Its totient is φ = 49322234880.

The previous prime is 114224113973. The next prime is 114224114051. The reversal of 114224114025 is 520411422411.

114224114025 is a `hidden beast` number, since 1 + 14 + 2 + 241 + 1 + 402 + 5 = 666.

It is not a de Polignac number, because 114224114025 - 26 = 114224113961 is a prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 114224114025.

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 143 ways as a sum of consecutive naturals, for example, 10438357 + ... + 10449293.

Almost surely, 2114224114025 is an apocalyptic number.

114224114025 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

114224114025 is an abundant number, since it is smaller than the sum of its proper divisors (132624669975).

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

114224114025 is a wasteful number, since it uses less digits than its factorization.

114224114025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11328 (or 11320 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

Adding to 114224114025 its reverse (520411422411), we get a palindrome (634635536436).

The spelling of 114224114025 in words is "one hundred fourteen billion, two hundred twenty-four million, one hundred fourteen thousand, twenty-five".

Divisors: 1 3 5 7 9 15 19 21 25 35 45 57 63 75 95 105 133 171 175 225 285 315 349 399 475 525 665 855 1047 1197 1425 1575 1745 1995 2443 3141 3325 4275 5235 5985 6631 7329 8725 9975 10937 12215 15705 19893 21987 26175 29925 32811 33155 36645 46417 54685 59679 61075 76559 78525 98433 99465 109935 139251 164055 165775 183225 207803 229677 232085 273425 298395 382795 417753 492165 497325 549675 623409 689031 696255 820275 1039015 1148385 1160425 1454621 1491975 1870227 1913975 2088765 2460825 3117045 3445155 3481275 3817013 4363863 5195075 5741925 7273105 9351135 10443825 11451039 13091589 15585225 17225775 19085065 21819315 26719091 34353117 36365525 46755675 57255195 65457945 72523247 80157273 95425325 109096575 133595455 171765585 217569741 240471819 286275975 327289725 362616235 400786365 507662729 652709223 667977275 858827925 1087848705 1202359095 1522988187 1813081175 2003931825 2538313645 3263546115 4568964561 5439243525 6011795475 7614940935 12691568225 16317730575 22844822805 38074704675 114224114025