Search a number
-
+
12143430320 = 245722994693
BaseRepresentation
bin10110100111100111…
…00000101010110000
31011100022000011202112
423103303200222300
5144332204232240
65324551504452
7606632311640
oct132363405260
934308004675
1012143430320
115171716a2a
12242a988128
1311b6aa3338
14832ab6520
154b1153665
hex2d3ce0ab0

12143430320 has 80 divisors (see below), whose sum is σ = 32408074560. Its totient is φ = 4145236992.

The previous prime is 12143430317. The next prime is 12143430323. The reversal of 12143430320 is 2303434121.

It is an interprime number because it is at equal distance from previous prime (12143430317) and next prime (12143430323).

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

It is not an unprimeable number, because it can be changed into a prime (12143430323) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 80894 + ... + 175586.

It is an arithmetic number, because the mean of its divisors is an integer number (405100932).

Almost surely, 212143430320 is an apocalyptic number.

12143430320 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 12143430320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16204037280).

12143430320 is an abundant number, since it is smaller than the sum of its proper divisors (20264644240).

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

12143430320 is a wasteful number, since it uses less digits than its factorization.

12143430320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94942 (or 94936 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 23.

Adding to 12143430320 its reverse (2303434121), we get a palindrome (14446864441).

The spelling of 12143430320 in words is "twelve billion, one hundred forty-three million, four hundred thirty thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 140 229 280 458 560 916 1145 1603 1832 2290 3206 3664 4580 6412 8015 9160 12824 16030 18320 25648 32060 64120 94693 128240 189386 378772 473465 662851 757544 946930 1325702 1515088 1893860 2651404 3314255 3787720 5302808 6628510 7575440 10605616 13257020 21684697 26514040 43369394 53028080 86738788 108423485 151792879 173477576 216846970 303585758 346955152 433693940 607171516 758964395 867387880 1214343032 1517928790 1734775760 2428686064 3035857580 6071715160 12143430320