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13420003344 = 24311291078191
BaseRepresentation
bin11000111111110010…
…10000000000010000
31021122021002210201220
430133321100000100
5204441010101334
610055353125040
7653363101116
oct143771200020
937567083656
1013420003344
115767273160
1227263b9780
13135b3c80a7
14914459ab6
15538267449
hex31fe50010

13420003344 has 160 divisors (see below), whose sum is σ = 39494615040. Its totient is φ = 3889267200.

The previous prime is 13420003327. The next prime is 13420003349. The reversal of 13420003344 is 44330002431.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (13420003349) 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 31 ways as a sum of consecutive naturals, for example, 1634289 + ... + 1642479.

It is an arithmetic number, because the mean of its divisors is an integer number (246841344).

Almost surely, 213420003344 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 13420003344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19747307520).

13420003344 is an abundant number, since it is smaller than the sum of its proper divisors (26074611696).

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

13420003344 is a wasteful number, since it uses less digits than its factorization.

13420003344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8349 (or 8343 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

Adding to 13420003344 its reverse (44330002431), we get a palindrome (57750005775).

The spelling of 13420003344 in words is "thirteen billion, four hundred twenty million, three thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 29 33 44 48 58 66 87 88 107 116 132 174 176 214 232 264 319 321 348 428 464 528 638 642 696 856 957 1177 1276 1284 1392 1712 1914 2354 2552 2568 3103 3531 3828 4708 5104 5136 6206 7062 7656 8191 9309 9416 12412 14124 15312 16382 18618 18832 24573 24824 28248 32764 34133 37236 49146 49648 56496 65528 68266 74472 90101 98292 102399 131056 136532 148944 180202 196584 204798 237539 270303 273064 360404 393168 409596 475078 540606 546128 712617 720808 819192 876437 950156 1081212 1425234 1441616 1638384 1752874 1900312 2162424 2612929 2629311 2850468 3505748 3800624 4324848 5225858 5258622 5700936 7011496 7838787 9640807 10451716 10517244 11401872 14022992 15677574 19281614 20903432 21034488 25416673 28922421 31355148 38563228 41806864 42068976 50833346 57844842 62710296 76250019 77126456 101666692 115689684 125420592 152500038 154252912 203333384 231379368 279583403 305000076 406666768 462758736 559166806 610000152 838750209 1118333612 1220000304 1677500418 2236667224 3355000836 4473334448 6710001672 13420003344