Search a number
-
+
11142044320 = 255116330707
BaseRepresentation
bin10100110000001111…
…00001101010100000
31001202111201111102011
422120013201222200
5140304330404240
65041340402304
7543052546141
oct123007415240
931674644364
1011142044320
1147a84368a0
1221ab546394
13108749c344
14779ac7ac8
1545329b6ea
hex2981e1aa0

11142044320 has 48 divisors (see below), whose sum is σ = 28716091488. Its totient is φ = 4051651840.

The previous prime is 11142044317. The next prime is 11142044357. The reversal of 11142044320 is 2344024111.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 11142044291 and 11142044300.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 3163594 + ... + 3167113.

It is an arithmetic number, because the mean of its divisors is an integer number (598251906).

Almost surely, 211142044320 is an apocalyptic number.

11142044320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11142044320 is an abundant number, since it is smaller than the sum of its proper divisors (17574047168).

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

11142044320 is a wasteful number, since it uses less digits than its factorization.

11142044320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6330733 (or 6330725 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

Adding to 11142044320 its reverse (2344024111), we get a palindrome (13486068431).

The spelling of 11142044320 in words is "eleven billion, one hundred forty-two million, forty-four thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 80 88 110 160 176 220 352 440 880 1760 6330707 12661414 25322828 31653535 50645656 63307070 69637777 101291312 126614140 139275554 202582624 253228280 278551108 348188885 506456560 557102216 696377770 1012913120 1114204432 1392755540 2228408864 2785511080 5571022160 11142044320