Search a number
-
+
114102230004 = 22327452786627
BaseRepresentation
bin110101001000100000…
…1011101101111110100
3101220111222110212000200
41222101001131233310
53332140132330004
6124230130440500
711146362644460
oct1522101355764
9356458425020
10114102230004
1144432809244
121a144733130
13a9b5363139
145745d494a0
152e7c313239
hex1a9105dbf4

114102230004 has 36 divisors (see below), whose sum is σ = 329628665184. Its totient is φ = 32600637072.

The previous prime is 114102229999. The next prime is 114102230017. The reversal of 114102230004 is 400032201411.

114102230004 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 226393062 + ... + 226393565.

Almost surely, 2114102230004 is an apocalyptic number.

114102230004 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

114102230004 is an abundant number, since it is smaller than the sum of its proper divisors (215526435180).

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

114102230004 is a wasteful number, since it uses less digits than its factorization.

114102230004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 452786644 (or 452786639 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 114102230004 its reverse (400032201411), we get a palindrome (514134431415).

The spelling of 114102230004 in words is "one hundred fourteen billion, one hundred two million, two hundred thirty thousand, four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 252 452786627 905573254 1358359881 1811146508 2716719762 3169506389 4075079643 5433439524 6339012778 8150159286 9508519167 12678025556 16300318572 19017038334 28525557501 38034076668 57051115002 114102230004