Search a number
-
+
114111003400 = 23525310765189
BaseRepresentation
bin110101001000110001…
…0111011101100001000
3101220112120222120212021
41222101202323230020
53332144404102100
6124231042454224
711146530345052
oct1522142735410
9356476876767
10114111003400
1144437760889
121a147664374
13a9b71155b4
1457471908d2
152e7ce97a1a
hex1a918bbb08

114111003400 has 48 divisors (see below), whose sum is σ = 270313920900. Its totient is φ = 44783182080.

The previous prime is 114111003389. The next prime is 114111003403. The reversal of 114111003400 is 4300111411.

It can be written as a sum of positive squares in 6 ways, for example, as 65361012964 + 48749990436 = 255658^2 + 220794^2 .

It is not an unprimeable number, because it can be changed into a prime (114111003403) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 5371995 + ... + 5393194.

Almost surely, 2114111003400 is an apocalyptic number.

114111003400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

114111003400 is an abundant number, since it is smaller than the sum of its proper divisors (156202917500).

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

114111003400 is a wasteful number, since it uses less digits than its factorization.

114111003400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10765258 (or 10765249 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 16.

Adding to 114111003400 its reverse (4300111411), we get a palindrome (118411114811).

The spelling of 114111003400 in words is "one hundred fourteen billion, one hundred eleven million, three thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 53 100 106 200 212 265 424 530 1060 1325 2120 2650 5300 10600 10765189 21530378 43060756 53825945 86121512 107651890 215303780 269129725 430607560 538259450 570555017 1076518900 1141110034 2153037800 2282220068 2852775085 4564440136 5705550170 11411100340 14263875425 22822200680 28527750850 57055501700 114111003400