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13112323440 = 2435376722039
BaseRepresentation
bin11000011011000111…
…00010110101110000
31020211211011001020220
430031203202311300
5203323223322230
610005042333040
7642635624136
oct141543426560
936754131226
1013112323440
115619623747
12265b35a180
13130c73b788
148c5647756
1551b23cd10
hex30d8e2d70

13112323440 has 160 divisors (see below), whose sum is σ = 42371811840. Its totient is φ = 3351186432.

The previous prime is 13112323417. The next prime is 13112323451. The reversal of 13112323440 is 4432321131.

It is a happy number.

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

It is a self number, because there is not a number n which added to its sum of digits gives 13112323440.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 583941 + ... + 605979.

It is an arithmetic number, because the mean of its divisors is an integer number (264823824).

Almost surely, 213112323440 is an apocalyptic number.

13112323440 is a gapful number since it is divisible by the number (10) 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 13112323440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21185905920).

13112323440 is an abundant number, since it is smaller than the sum of its proper divisors (29259488400).

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

13112323440 is a wasteful number, since it uses less digits than its factorization.

13112323440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22159 (or 22153 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 13112323440 its reverse (4432321131), we get a palindrome (17544644571).

The spelling of 13112323440 in words is "thirteen billion, one hundred twelve million, three hundred twenty-three thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 37 40 48 60 67 74 80 111 120 134 148 185 201 222 240 268 296 335 370 402 444 536 555 592 670 740 804 888 1005 1072 1110 1340 1480 1608 1776 2010 2220 2479 2680 2960 3216 4020 4440 4958 5360 7437 8040 8880 9916 12395 14874 16080 19832 22039 24790 29748 37185 39664 44078 49580 59496 66117 74370 88156 99160 110195 118992 132234 148740 176312 198320 220390 264468 297480 330585 352624 440780 528936 594960 661170 815443 881560 1057872 1322340 1476613 1630886 1763120 2446329 2644680 2953226 3261772 4077215 4429839 4892658 5289360 5906452 6523544 7383065 8154430 8859678 9785316 11812904 12231645 13047088 14766130 16308860 17719356 19570632 22149195 23625808 24463290 29532260 32617720 35438712 39141264 44298390 48926580 54634681 59064520 65235440 70877424 88596780 97853160 109269362 118129040 163904043 177193560 195706320 218538724 273173405 327808086 354387120 437077448 546346810 655616172 819520215 874154896 1092693620 1311232344 1639040430 2185387240 2622464688 3278080860 4370774480 6556161720 13112323440