Search a number
-
+
12344421320 = 2357115967931
BaseRepresentation
bin10110111111100100…
…01110101111001000
31011212022012120120122
423133302032233020
5200240132440240
65400531442412
7614622564350
oct133762165710
934768176518
1012344421320
1152651164a0
122486156408
13121961671a
14851675b60
154c3b064b5
hex2dfc8ebc8

12344421320 has 128 divisors (see below), whose sum is σ = 35215948800. Its totient is φ = 3782342400.

The previous prime is 12344421311. The next prime is 12344421377. The reversal of 12344421320 is 2312444321.

It is a self number, because there is not a number n which added to its sum of digits gives 12344421320.

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, 147755 + ... + 215685.

It is an arithmetic number, because the mean of its divisors is an integer number (275124600).

Almost surely, 212344421320 is an apocalyptic number.

12344421320 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 12344421320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17607974400).

12344421320 is an abundant number, since it is smaller than the sum of its proper divisors (22871527480).

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

12344421320 is a wasteful number, since it uses less digits than its factorization.

12344421320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68019 (or 68015 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 26.

Adding to 12344421320 its reverse (2312444321), we get a palindrome (14656865641).

The spelling of 12344421320 in words is "twelve billion, three hundred forty-four million, four hundred twenty-one thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 11 14 20 22 28 35 40 44 55 56 59 70 77 88 110 118 140 154 220 236 280 295 308 385 413 440 472 590 616 649 770 826 1180 1298 1540 1652 2065 2360 2596 3080 3245 3304 4130 4543 5192 6490 8260 9086 12980 16520 18172 22715 25960 36344 45430 67931 90860 135862 181720 271724 339655 475517 543448 679310 747241 951034 1358620 1494482 1902068 2377585 2717240 2988964 3736205 3804136 4007929 4755170 5230687 5977928 7472410 8015858 9510340 10461374 14944820 16031716 19020680 20039645 20922748 26153435 28055503 29889640 32063432 40079290 41845496 44087219 52306870 56111006 80158580 88174438 104613740 112222012 140277515 160317160 176348876 209227480 220436095 224444024 280555030 308610533 352697752 440872190 561110060 617221066 881744380 1122220120 1234442132 1543052665 1763488760 2468884264 3086105330 6172210660 12344421320