Search a number
-
+
134421434112 = 283725003987
BaseRepresentation
bin111110100110000100…
…1000100111100000000
3110211222001122100222210
41331030021010330000
54200243341342422
6141430301502120
712466042223550
oct1751411047400
9424861570883
10134421434112
115200a439009
1222075571940
13c8a2c00934
1467127a3160
15376b0d310c
hex1f4c244f00

134421434112 has 72 divisors (see below), whose sum is σ = 408865211776. Its totient is φ = 38406122496.

The previous prime is 134421434093. The next prime is 134421434129. The reversal of 134421434112 is 211434124431.

It is a happy number.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 134421434112.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12496618 + ... + 12507369.

Almost surely, 2134421434112 is an apocalyptic number.

134421434112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

134421434112 is an abundant number, since it is smaller than the sum of its proper divisors (274443777664).

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

134421434112 is an equidigital number, since it uses as much as digits as its factorization.

134421434112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25004013 (or 25003999 counting only the distinct ones).

The product of its digits is 9216, while the sum is 30.

Adding to 134421434112 its reverse (211434124431), we get a palindrome (345855558543).

The spelling of 134421434112 in words is "one hundred thirty-four billion, four hundred twenty-one million, four hundred thirty-four thousand, one hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 168 192 224 256 336 384 448 672 768 896 1344 1792 2688 5376 25003987 50007974 75011961 100015948 150023922 175027909 200031896 300047844 350055818 400063792 525083727 600095688 700111636 800127584 1050167454 1200191376 1400223272 1600255168 2100334908 2400382752 2800446544 3200510336 4200669816 4800765504 5600893088 6401020672 8401339632 9601531008 11201786176 16802679264 19203062016 22403572352 33605358528 44807144704 67210717056 134421434112