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1114424688 = 2431310716691
BaseRepresentation
bin100001001101100…
…1100010101110000
32212122222122021110
41002123030111300
54240243042223
6302325553320
736421311366
oct10233142560
92778878243
101114424688
11522077843
12271275840
13149b614c0
14a8015636
1567c84d93
hex426cc570

1114424688 has 80 divisors (see below), whose sum is σ = 3129549696. Its totient is φ = 339674880.

The previous prime is 1114424687. The next prime is 1114424699. The reversal of 1114424688 is 8864244111.

It is a happy number.

It is a Cunningham number, because it is equal to 333832-1.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1114424683) 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, 58423 + ... + 75113.

Almost surely, 21114424688 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 1114424688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1564774848).

1114424688 is an abundant number, since it is smaller than the sum of its proper divisors (2015125008).

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

1114424688 is a wasteful number, since it uses less digits than its factorization.

1114424688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16822 (or 16816 counting only the distinct ones).

The product of its digits is 49152, while the sum is 39.

The square root of 1114424688 is about 33382.9999850223. Note that the first 4 decimals coincide. The cubic root of 1114424688 is about 1036.7727522227.

Adding to 1114424688 its reverse (8864244111), we get a palindrome (9978668799).

The spelling of 1114424688 in words is "one billion, one hundred fourteen million, four hundred twenty-four thousand, six hundred eighty-eight".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 78 104 107 156 208 214 312 321 428 624 642 856 1284 1391 1712 2568 2782 4173 5136 5564 8346 11128 16691 16692 22256 33382 33384 50073 66764 66768 100146 133528 200292 216983 267056 400584 433966 650949 801168 867932 1301898 1735864 1785937 2603796 3471728 3571874 5207592 5357811 7143748 10415184 10715622 14287496 21431244 23217181 28574992 42862488 46434362 69651543 85724976 92868724 139303086 185737448 278606172 371474896 557212344 1114424688