Search a number
-
+
114142226264 = 2311320995107
BaseRepresentation
bin110101001001101101…
…0000010011101011000
3101220121202201212120122
41222103122002131120
53332230402220024
6124234120012412
711150356625603
oct1522332023530
9356552655518
10114142226264
1144453347000
121a156001108
13a9c0728071
14574b39b33a
152e80ab3d5e
hex1a93682758

114142226264 has 64 divisors (see below), whose sum is σ = 235560528000. Its totient is φ = 51847957920.

The previous prime is 114142226243. The next prime is 114142226279. The reversal of 114142226264 is 462622241411.

It is a happy number.

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 15 ways as a sum of consecutive naturals, for example, 22347599 + ... + 22352705.

It is an arithmetic number, because the mean of its divisors is an integer number (3680633250).

Almost surely, 2114142226264 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 114142226264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117780264000).

114142226264 is an abundant number, since it is smaller than the sum of its proper divisors (121418301736).

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

114142226264 is a wasteful number, since it uses less digits than its factorization.

114142226264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7245 (or 7219 counting only the distinct ones).

The product of its digits is 36864, while the sum is 35.

Adding to 114142226264 its reverse (462622241411), we get a palindrome (576764467675).

The spelling of 114142226264 in words is "one hundred fourteen billion, one hundred forty-two million, two hundred twenty-six thousand, two hundred sixty-four".

Divisors: 1 2 4 8 11 22 44 88 121 242 484 968 1331 2099 2662 4198 5107 5324 8396 10214 10648 16792 20428 23089 40856 46178 56177 92356 112354 184712 224708 253979 449416 507958 617947 1015916 1235894 2031832 2471788 2793769 4943576 5587538 6797417 10719593 11175076 13594834 21439186 22350152 27189668 42878372 54379336 85756744 117915523 235831046 471662092 943324184 1297070753 2594141506 5188283012 10376566024 14267778283 28535556566 57071113132 114142226264