Search a number
-
+
114345430353 = 3371155000207
BaseRepresentation
bin110101001111110000…
…1001100110101010001
3101221010221002201012000
41222133201030311101
53333134412232403
6124310215224213
711155405056420
oct1523741146521
9357127081160
10114345430353
1144548018270
121a1b2078069
13aa2386487b
14576a3752b7
152e938527a3
hex1a9f84cd51

114345430353 has 32 divisors (see below), whose sum is σ = 211200798720. Its totient is φ = 59400222480.

The previous prime is 114345430343. The next prime is 114345430363. The reversal of 114345430353 is 353034543411.

114345430353 is a `hidden beast` number, since 1 + 1 + 4 + 345 + 4 + 303 + 5 + 3 = 666.

It is an interprime number because it is at equal distance from previous prime (114345430343) and next prime (114345430363).

It is not a de Polignac number, because 114345430353 - 29 = 114345429841 is a prime.

It is a super-2 number, since 2×1143454303532 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (114345430343) 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 31 ways as a sum of consecutive naturals, for example, 27498025 + ... + 27502182.

It is an arithmetic number, because the mean of its divisors is an integer number (6600024960).

Almost surely, 2114345430353 is an apocalyptic number.

It is an amenable number.

114345430353 is a deficient number, since it is larger than the sum of its proper divisors (96855368367).

114345430353 is a wasteful number, since it uses less digits than its factorization.

114345430353 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55000234 (or 55000228 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 36.

Adding to 114345430353 its reverse (353034543411), we get a palindrome (467379973764).

The spelling of 114345430353 in words is "one hundred fourteen billion, three hundred forty-five million, four hundred thirty thousand, three hundred fifty-three".

Divisors: 1 3 7 9 11 21 27 33 63 77 99 189 231 297 693 2079 55000207 165000621 385001449 495001863 605002277 1155004347 1485005589 1815006831 3465013041 4235015939 5445020493 10395039123 12705047817 16335061479 38115143451 114345430353