Search a number
-
+
111425110416 = 2432278172
BaseRepresentation
bin110011111000101110…
…1000100000110010000
3101122121102000002100100
41213301131010012100
53311144312013131
6123104334452400
711023134545214
oct1476135040620
9348542002310
10111425110416
114328962a714
1219718064100
13a67982abc9
145570590944
152d7229c7e6
hex19f1744190

111425110416 has 45 divisors (see below), whose sum is σ = 311846762721. Its totient is φ = 37140368256.

The previous prime is 111425110411. The next prime is 111425110429. The reversal of 111425110416 is 614011524111.

It is a happy number.

The square root of 111425110416 is 333804.

It is a perfect power (a square), and thus also a powerful number.

111425110416 is a `hidden beast` number, since 1 + 1 + 142 + 511 + 0 + 4 + 1 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 62630067600 + 48795042816 = 250260^2 + 220896^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 111425110416.

It is not an unprimeable number, because it can be changed into a prime (111425110411) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 3991740 + ... + 4019556.

Almost surely, 2111425110416 is an apocalyptic number.

111425110416 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

111425110416 is the 333804-th square number.

It is an amenable number.

111425110416 is an abundant number, since it is smaller than the sum of its proper divisors (200421652305).

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

111425110416 is an frugal number, since it uses more digits than its factorization.

111425110416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55648 (or 27822 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 27.

Adding to 111425110416 its reverse (614011524111), we get a palindrome (725436634527).

It can be divided in two parts, 111425 and 110416, that added together give a square (221841 = 4712).

The spelling of 111425110416 in words is "one hundred eleven billion, four hundred twenty-five million, one hundred ten thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 27817 55634 83451 111268 166902 222536 250353 333804 445072 500706 667608 1001412 1335216 2002824 4005648 773785489 1547570978 2321356467 3095141956 4642712934 6190283912 6964069401 9285425868 12380567824 13928138802 18570851736 27856277604 37141703472 55712555208 111425110416