Search a number
-
+
114452023005 = 3351013983617
BaseRepresentation
bin110101010010111011…
…1110100011011011101
3101221102100200011211000
41222211313310123131
53333344204214010
6124324544020513
711161141100235
oct1524567643335
9357370604730
10114452023005
11445a2201971
121a221901739
13aa3c976048
14577a5a0cc5
152e9cdaa7c0
hex1aa5df46dd

114452023005 has 32 divisors (see below), whose sum is σ = 203492764800. Its totient is φ = 61034328576.

The previous prime is 114452022961. The next prime is 114452023009. The reversal of 114452023005 is 500320254411.

114452023005 is a `hidden beast` number, since 11 + 445 + 202 + 3 + 0 + 0 + 5 = 666.

It is not a de Polignac number, because 114452023005 - 216 = 114451957469 is a prime.

It is a super-3 number, since 3×1144520230053 (a number of 34 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 114452023005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114452023009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1326957 + ... + 1410573.

It is an arithmetic number, because the mean of its divisors is an integer number (6359148900).

Almost surely, 2114452023005 is an apocalyptic number.

114452023005 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

114452023005 is a deficient number, since it is larger than the sum of its proper divisors (89040741795).

114452023005 is a wasteful number, since it uses less digits than its factorization.

114452023005 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93770 (or 93764 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

Adding to 114452023005 its reverse (500320254411), we get a palindrome (614772277416).

The spelling of 114452023005 in words is "one hundred fourteen billion, four hundred fifty-two million, twenty-three thousand, five".

Divisors: 1 3 5 9 15 27 45 135 10139 30417 50695 83617 91251 152085 250851 273753 418085 456255 752553 1254255 1368765 2257659 3762765 11288295 847792763 2543378289 4238963815 7630134867 12716891445 22890404601 38150674335 114452023005