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12341443000 = 235329597213
BaseRepresentation
bin10110111111001101…
…10111100110111000
31011212002121021002111
423133212313212320
5200233402134000
65400343542104
7614555351245
oct133746674670
934762537074
1012341443000
115263471877
12248515a934
131218b12bc3
148510dc5cc
154c3718cba
hex2df9b79b8

12341443000 has 128 divisors (see below), whose sum is σ = 30385368000. Its totient is φ = 4684915200.

The previous prime is 12341442983. The next prime is 12341443001. The reversal of 12341443000 is 34414321.

It is a super-2 number, since 2×123414430002 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12341443001) 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, 1707394 + ... + 1714606.

Almost surely, 212341443000 is an apocalyptic number.

12341443000 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 12341443000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15192684000).

12341443000 is an abundant number, since it is smaller than the sum of its proper divisors (18043925000).

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

12341443000 is a wasteful number, since it uses less digits than its factorization.

12341443000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7322 (or 7308 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

Adding to 12341443000 its reverse (34414321), we get a palindrome (12375857321).

The spelling of 12341443000 in words is "twelve billion, three hundred forty-one million, four hundred forty-three thousand".

Divisors: 1 2 4 5 8 10 20 25 29 40 50 58 59 100 116 118 125 145 200 232 236 250 290 295 472 500 580 590 725 1000 1160 1180 1450 1475 1711 2360 2900 2950 3422 3625 5800 5900 6844 7213 7250 7375 8555 11800 13688 14426 14500 14750 17110 28852 29000 29500 34220 36065 42775 57704 59000 68440 72130 85550 144260 171100 180325 209177 213875 288520 342200 360650 418354 425567 427750 721300 836708 851134 855500 901625 1045885 1442600 1673416 1702268 1711000 1803250 2091770 2127835 3404536 3606500 4183540 4255670 5229425 7213000 8367080 8511340 10458850 10639175 12341443 17022680 20917700 21278350 24682886 26147125 41835400 42556700 49365772 52294250 53195875 61707215 85113400 98731544 104588500 106391750 123414430 209177000 212783500 246828860 308536075 425567000 493657720 617072150 1234144300 1542680375 2468288600 3085360750 6170721500 12341443000