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14245141024 = 2517412292789
BaseRepresentation
bin11010100010001001…
…11001101000100000
31100202202202010211201
431101010321220200
5213133224003044
610313310450544
71013002462252
oct152104715040
940682663751
1014245141024
116050013324
122916803a54
13146033ca3a
14991c89cd2
155859077d4
hex351139a20

14245141024 has 96 divisors (see below), whose sum is σ = 30562887600. Its totient is φ = 6509199360.

The previous prime is 14245140979. The next prime is 14245141033. The reversal of 14245141024 is 42014154241.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 9774881424 + 4470259600 = 98868^2 + 66860^2 .

It is a junction number, because it is equal to n+sod(n) for n = 14245140983 and 14245141001.

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 15 ways as a sum of consecutive naturals, for example, 5106222 + ... + 5109010.

Almost surely, 214245141024 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 14245141024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15281443800).

14245141024 is an abundant number, since it is smaller than the sum of its proper divisors (16317746576).

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

14245141024 is a wasteful number, since it uses less digits than its factorization.

14245141024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3086 (or 3078 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 28.

Adding to 14245141024 its reverse (42014154241), we get a palindrome (56259295265).

The spelling of 14245141024 in words is "fourteen billion, two hundred forty-five million, one hundred forty-one thousand, twenty-four".

Divisors: 1 2 4 8 16 17 32 34 41 68 82 136 164 229 272 328 458 544 656 697 916 1312 1394 1832 2788 2789 3664 3893 5576 5578 7328 7786 9389 11152 11156 15572 18778 22304 22312 31144 37556 44624 47413 62288 75112 89248 94826 114349 124576 150224 159613 189652 228698 300448 319226 379304 457396 638452 638681 758608 914792 1276904 1277362 1517216 1829584 1943933 2553808 2554724 3659168 3887866 5107616 5109448 7775732 10218896 10857577 15551464 20437792 21715154 26185921 31102928 43430308 52371842 62205856 86860616 104743684 173721232 209487368 347442464 418974736 445160657 837949472 890321314 1780642628 3561285256 7122570512 14245141024