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13401014424 = 233711326247
BaseRepresentation
bin11000111101100001…
…10100000010011000
31021120221101001211120
430132300310002120
5204421124430144
610053434125240
7653042512620
oct143660640230
937527331746
1013401014424
115757583536
12271bb80820
1313574a9c45
14911b15880
15536765e19
hex31ec34098

13401014424 has 96 divisors (see below), whose sum is σ = 38636632320. Its totient is φ = 3794370048.

The previous prime is 13401014401. The next prime is 13401014441. The reversal of 13401014424 is 42441010431.

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

It is a junction number, because it is equal to n+sod(n) for n = 13401014394 and 13401014403.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2142069 + ... + 2148315.

It is an arithmetic number, because the mean of its divisors is an integer number (402464920).

Almost surely, 213401014424 is an apocalyptic number.

13401014424 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13401014424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19318316160).

13401014424 is an abundant number, since it is smaller than the sum of its proper divisors (25235617896).

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

13401014424 is a wasteful number, since it uses less digits than its factorization.

13401014424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6489 (or 6372 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 13401014424 its reverse (42441010431), we get a palindrome (55842024855).

The spelling of 13401014424 in words is "thirteen billion, four hundred one million, fourteen thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 113 168 226 339 452 678 791 904 1356 1582 2373 2712 3164 4746 6247 6328 9492 12494 12769 18741 18984 24988 25538 37482 38307 43729 49976 51076 74964 76614 87458 89383 102152 131187 149928 153228 174916 178766 262374 268149 306456 349832 357532 524748 536298 705911 715064 1049496 1072596 1411822 2117733 2145192 2823644 4235466 4941377 5647288 8470932 9882754 14824131 16941864 19765508 29648262 39531016 59296524 79767943 118593048 159535886 239303829 319071772 478607658 558375601 638143544 957215316 1116751202 1675126803 1914430632 2233502404 3350253606 4467004808 6700507212 13401014424