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12403412340 = 22351121819439
BaseRepresentation
bin10111000110100110…
…10000110101110100
31012000102012122001020
423203103100311310
5200400233143330
65410440101140
7616240160004
oct134323206564
935012178036
1012403412340
115295448300
1224a1a647b0
1312288cc357
14859430004
154c8daa210
hex2e34d0d74

12403412340 has 144 divisors (see below), whose sum is σ = 38388779520. Its totient is φ = 2989958400.

The previous prime is 12403412339. The next prime is 12403412353. The reversal of 12403412340 is 4321430421.

12403412340 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 12403412340.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1309341 + ... + 1318779.

Almost surely, 212403412340 is an apocalyptic number.

12403412340 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 12403412340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19194389760).

12403412340 is an abundant number, since it is smaller than the sum of its proper divisors (25985367180).

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

12403412340 is a wasteful number, since it uses less digits than its factorization.

12403412340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9654 (or 9641 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 12403412340 its reverse (4321430421), we get a palindrome (16724842761).

The spelling of 12403412340 in words is "twelve billion, four hundred three million, four hundred twelve thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 121 132 165 181 220 242 330 362 363 484 543 605 660 724 726 905 1086 1210 1452 1810 1815 1991 2172 2420 2715 3620 3630 3982 5430 5973 7260 7964 9439 9955 10860 11946 18878 19910 21901 23892 28317 29865 37756 39820 43802 47195 56634 59730 65703 87604 94390 103829 109505 113268 119460 131406 141585 188780 207658 219010 262812 283170 311487 328515 415316 438020 519145 566340 622974 657030 1038290 1142119 1245948 1314060 1557435 1708459 2076580 2284238 3114870 3416918 3426357 4568476 5125377 5710595 6229740 6833836 6852714 8542295 10250754 11421190 13705428 17084590 17131785 18793049 20501508 22842380 25626885 34169180 34263570 37586098 51253770 56379147 68527140 75172196 93965245 102507540 112758294 187930490 206723539 225516588 281895735 375860980 413447078 563791470 620170617 826894156 1033617695 1127582940 1240341234 2067235390 2480682468 3100853085 4134470780 6201706170 12403412340