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13140124424 = 23719199229271
BaseRepresentation
bin11000011110011011…
…00110001100001000
31020220202110111000222
430033031212030020
5203402332440144
610011514245212
7643424133440
oct141715461410
936822414028
1013140124424
115633291a69
122668726808
13131542386b
148c9203120
1551d8d02ee
hex30f366308

13140124424 has 128 divisors (see below), whose sum is σ = 30028800000. Its totient is φ = 5265596160.

The previous prime is 13140124421. The next prime is 13140124451. The reversal of 13140124424 is 42442104131.

It is a junction number, because it is equal to n+sod(n) for n = 13140124393 and 13140124402.

It is not an unprimeable number, because it can be changed into a prime (13140124421) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 48487409 + ... + 48487679.

It is an arithmetic number, because the mean of its divisors is an integer number (234600000).

Almost surely, 213140124424 is an apocalyptic number.

13140124424 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 13140124424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15014400000).

13140124424 is an abundant number, since it is smaller than the sum of its proper divisors (16888675576).

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

13140124424 is a wasteful number, since it uses less digits than its factorization.

13140124424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 731 (or 727 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 26.

Adding to 13140124424 its reverse (42442104131), we get a palindrome (55582228555).

The spelling of 13140124424 in words is "thirteen billion, one hundred forty million, one hundred twenty-four thousand, four hundred twenty-four".

Divisors: 1 2 4 7 8 14 19 28 38 56 76 133 152 199 229 266 271 398 458 532 542 796 916 1064 1084 1393 1592 1603 1832 1897 2168 2786 3206 3781 3794 4351 5149 5572 6412 7562 7588 8702 10298 11144 12824 15124 15176 17404 20596 26467 30248 30457 34808 36043 41192 45571 52934 53929 60914 62059 72086 91142 105868 107858 121828 124118 144172 182284 211736 215716 243656 248236 288344 318997 364568 377503 431432 434413 496472 637994 755006 865849 868826 1024651 1179121 1275988 1510012 1731698 1737652 2049302 2358242 2551976 3020024 3463396 3475304 4098604 4716484 6060943 6926792 7172557 8197208 8253847 9432968 12121886 12349741 14345114 16507694 24243772 24699482 28690228 33015388 48487544 49398964 57380456 66030776 86448187 98797928 172896374 234645079 345792748 469290158 691585496 938580316 1642515553 1877160632 3285031106 6570062212 13140124424