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14441433344 = 28138948757
BaseRepresentation
bin11010111001100011…
…01100100100000000
31101021110002211021122
431130301230210000
5214034001331334
610345002011412
71020605105132
oct153461544400
941243084248
1014441433344
1161408a3688
1229704a6b68
131491bc9540
149add85052
15597c7d32e
hex35cc6c900

14441433344 has 72 divisors (see below), whose sum is σ = 31393325880. Its totient is φ = 6590251008.

The previous prime is 14441433337. The next prime is 14441433353. The reversal of 14441433344 is 44333414441.

It can be written as a sum of positive squares in 4 ways, for example, as 301369600 + 14140063744 = 17360^2 + 118912^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 271814 + ... + 320570.

It is an arithmetic number, because the mean of its divisors is an integer number (436018415).

Almost surely, 214441433344 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 14441433344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15696662940).

14441433344 is an abundant number, since it is smaller than the sum of its proper divisors (16951892536).

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

14441433344 is an equidigital number, since it uses as much as digits as its factorization.

14441433344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48875 (or 48861 counting only the distinct ones).

The product of its digits is 110592, while the sum is 35.

Adding to 14441433344 its reverse (44333414441), we get a palindrome (58774847785).

The spelling of 14441433344 in words is "fourteen billion, four hundred forty-one million, four hundred thirty-three thousand, three hundred forty-four".

Divisors: 1 2 4 8 13 16 26 32 52 64 89 104 128 178 208 256 356 416 712 832 1157 1424 1664 2314 2848 3328 4628 5696 9256 11392 18512 22784 37024 48757 74048 97514 148096 195028 296192 390056 633841 780112 1267682 1560224 2535364 3120448 4339373 5070728 6240896 8678746 10141456 12481792 17357492 20282912 34714984 40565824 56411849 69429968 81131648 112823698 138859936 162263296 225647396 277719872 451294792 555439744 902589584 1110879488 1805179168 3610358336 7220716672 14441433344