Search a number
-
+
12142432104 = 23311172612609
BaseRepresentation
bin10110100111011111…
…01100111101101000
31011100020010110110120
423103233230331220
5144331430311404
65324514243240
7606620653455
oct132357547550
934306113416
1012142432104
1151710a4a60
12242a586520
1311b6813b8a
148328d682c
154b10079d9
hex2d3becf68

12142432104 has 192 divisors, whose sum is σ = 35768692800. Its totient is φ = 3405004800.

The previous prime is 12142432097. The next prime is 12142432111. The reversal of 12142432104 is 40123424121.

It is an interprime number because it is at equal distance from previous prime (12142432097) and next prime (12142432111).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4652752 + ... + 4655360.

It is an arithmetic number, because the mean of its divisors is an integer number (186295275).

Almost surely, 212142432104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12142432104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17884346400).

12142432104 is an abundant number, since it is smaller than the sum of its proper divisors (23626260696).

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

12142432104 is a wasteful number, since it uses less digits than its factorization.

12142432104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2724 (or 2703 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 12142432104 its reverse (40123424121), we get a palindrome (52265856225).

The spelling of 12142432104 in words is "twelve billion, one hundred forty-two million, four hundred thirty-two thousand, one hundred four".