Search a number
-
+
443133421441332 = 223169344531489817
BaseRepresentation
bin110010011000001110000101…
…0001011000101000100110100
32011010000010211001102212200120
41210300130022023011010310
5431040244221342110312
64210244403343211540
7162224222165546226
oct14460341213050464
92133003731385616
10443133421441332
11119217912a37036
124184a2862a6bb0
13160353c130c21b
147b5dab4674416
153636db599328c
hex193070a2c5134

443133421441332 has 48 divisors (see below), whose sum is σ = 1034614065748032. Its totient is φ = 147620275856640.

The previous prime is 443133421441289. The next prime is 443133421441411. The reversal of 443133421441332 is 233144124331344.

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

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, 904446888 + ... + 904936704.

It is an arithmetic number, because the mean of its divisors is an integer number (21554459703084).

Almost surely, 2443133421441332 is an apocalyptic number.

It is an amenable number.

443133421441332 is an abundant number, since it is smaller than the sum of its proper divisors (591480644306700).

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

443133421441332 is a wasteful number, since it uses less digits than its factorization.

443133421441332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 536048 (or 536046 counting only the distinct ones).

The product of its digits is 995328, while the sum is 42.

Adding to 443133421441332 its reverse (233144124331344), we get a palindrome (676277545772676).

The spelling of 443133421441332 in words is "four hundred forty-three trillion, one hundred thirty-three billion, four hundred twenty-one million, four hundred forty-one thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 12 1693 3386 5079 6772 10158 20316 44531 89062 133593 178124 267186 489817 534372 979634 1469451 1959268 2938902 5877804 75390983 150781966 226172949 301563932 452345898 829260181 904691796 1658520362 2487780543 3317040724 4975561086 9951122172 21812040827 43624081654 65436122481 87248163308 130872244962 261744489924 36927785120111 73855570240222 110783355360333 147711140480444 221566710720666 443133421441332