Search a number
-
+
12323414000 = 245310161007
BaseRepresentation
bin10110111101000100…
…00101111111110000
31011210211200021221202
423132202011333300
5200214243222000
65354501310332
7614246201462
oct133642057760
934724607852
1012323414000
115254278377
12247b1053a8
13121516c961
1484c968132
154c1d56dd5
hex2de885ff0

12323414000 has 80 divisors (see below), whose sum is σ = 30093538176. Its totient is φ = 4880480000.

The previous prime is 12323413979. The next prime is 12323414039. The reversal of 12323414000 is 41432321.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 171497 + ... + 232503.

Almost surely, 212323414000 is an apocalyptic number.

12323414000 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 12323414000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15046769088).

12323414000 is an abundant number, since it is smaller than the sum of its proper divisors (17770124176).

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

12323414000 is a wasteful number, since it uses less digits than its factorization.

12323414000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61131 (or 61115 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 12323414000 its reverse (41432321), we get a palindrome (12364846321).

The spelling of 12323414000 in words is "twelve billion, three hundred twenty-three million, four hundred fourteen thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 101 125 200 202 250 400 404 500 505 808 1000 1010 1616 2000 2020 2525 4040 5050 8080 10100 12625 20200 25250 40400 50500 61007 101000 122014 202000 244028 305035 488056 610070 976112 1220140 1525175 2440280 3050350 4880560 6100700 6161707 7625875 12201400 12323414 15251750 24402800 24646828 30503500 30808535 49293656 61007000 61617070 98587312 122014000 123234140 154042675 246468280 308085350 492936560 616170700 770213375 1232341400 1540426750 2464682800 3080853500 6161707000 12323414000