Search a number
-
+
11110531344 = 2431122792699
BaseRepresentation
bin10100101100011110…
…10100000100010000
31001200022102110201220
422112033110010100
5140223244000334
65034253125040
7542220646443
oct122617240420
931608373656
1011110531344
114791672710
1221a0a89780
131080ab7803
1477584365a
15450624449
hex2963d4110

11110531344 has 80 divisors (see below), whose sum is σ = 31449772800. Its totient is φ = 3351959680.

The previous prime is 11110531343. The next prime is 11110531423. The reversal of 11110531344 is 44313501111.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (11110531343) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 73507 + ... + 166205.

It is an arithmetic number, because the mean of its divisors is an integer number (393122160).

Almost surely, 211110531344 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 11110531344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15724886400).

11110531344 is an abundant number, since it is smaller than the sum of its proper divisors (20339241456).

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

11110531344 is a wasteful number, since it uses less digits than its factorization.

11110531344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92948 (or 92942 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 24.

The spelling of 11110531344 in words is "eleven billion, one hundred ten million, five hundred thirty-one thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 132 176 227 264 454 528 681 908 1362 1816 2497 2724 3632 4994 5448 7491 9988 10896 14982 19976 29964 39952 59928 92699 119856 185398 278097 370796 556194 741592 1019689 1112388 1483184 2039378 2224776 3059067 4078756 4449552 6118134 8157512 12236268 16315024 21042673 24472536 42085346 48945072 63128019 84170692 126256038 168341384 231469403 252512076 336682768 462938806 505024152 694408209 925877612 1010048304 1388816418 1851755224 2777632836 3703510448 5555265672 11110531344