Search a number
-
+
13314042112 = 287371571279
BaseRepresentation
bin11000110011001010…
…00010100100000000
31021100212201102020211
430121211002210000
5204231343321422
610041050043504
7650635330210
oct143145024400
937325642224
1013314042112
11571247a998
1226b6a19594
131342478137
14904356240
1552dcd6577
hex319942900

13314042112 has 144 divisors (see below), whose sum is σ = 31416770560. Its totient is φ = 5512126464.

The previous prime is 13314042109. The next prime is 13314042127. The reversal of 13314042112 is 21124041331.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10409089 + ... + 10410367.

Almost surely, 213314042112 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 13314042112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15708385280).

13314042112 is an abundant number, since it is smaller than the sum of its proper divisors (18102728448).

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

13314042112 is a wasteful number, since it uses less digits than its factorization.

13314042112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1496 (or 1482 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

Adding to 13314042112 its reverse (21124041331), we get a palindrome (34438083443).

The spelling of 13314042112 in words is "thirteen billion, three hundred fourteen million, forty-two thousand, one hundred twelve".

Divisors: 1 2 4 7 8 14 16 28 32 37 56 64 74 112 128 148 157 224 256 259 296 314 448 518 592 628 896 1036 1099 1184 1256 1279 1792 2072 2198 2368 2512 2558 4144 4396 4736 5024 5116 5809 8288 8792 8953 9472 10048 10232 11618 16576 17584 17906 20096 20464 23236 33152 35168 35812 40192 40663 40928 46472 47323 66304 70336 71624 81326 81856 92944 94646 140672 143248 162652 163712 185888 189292 200803 281344 286496 325304 327424 331261 371776 378584 401606 572992 650608 662522 743552 757168 803212 1145984 1301216 1325044 1405621 1487104 1514336 1606424 2291968 2602432 2650088 2811242 3028672 3212848 5204864 5300176 5622484 6057344 6425696 7429711 10409728 10600352 11244968 12114688 12851392 14859422 21200704 22489936 25702784 29718844 42401408 44979872 51405568 52007977 59437688 84802816 89959744 104015954 118875376 179919488 208031908 237750752 359838976 416063816 475501504 832127632 951003008 1664255264 1902006016 3328510528 6657021056 13314042112