Search a number
-
+
11442200444901 = 333783243137593
BaseRepresentation
bin1010011010000001100001…
…0010101111111111100101
31111111212022121210202202000
42212200120102233333211
52444432111303214101
640200250241435513
72260446252016362
oct246403022577745
944455277722660
1011442200444901
113711678943156
1213496a993bb99
1364ccc1970945
142b7b3c25b469
1514c987d43486
hexa68184affe5

11442200444901 has 32 divisors (see below), whose sum is σ = 17409889902720. Its totient is φ = 7421824755072.

The previous prime is 11442200444863. The next prime is 11442200444903. The reversal of 11442200444901 is 10944400224411.

11442200444901 is a `hidden beast` number, since 1 + 1 + 4 + 4 + 2 + 200 + 4 + 449 + 0 + 1 = 666.

It is not a de Polignac number, because 11442200444901 - 26 = 11442200444837 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11442200444903) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 83090961 + ... + 83228553.

It is an arithmetic number, because the mean of its divisors is an integer number (544059059460).

Almost surely, 211442200444901 is an apocalyptic number.

It is an amenable number.

11442200444901 is a deficient number, since it is larger than the sum of its proper divisors (5967689457819).

11442200444901 is a wasteful number, since it uses less digits than its factorization.

11442200444901 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 220882 (or 220876 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The spelling of 11442200444901 in words is "eleven trillion, four hundred forty-two billion, two hundred million, four hundred forty-four thousand, nine hundred one".

Divisors: 1 3 9 27 37 111 333 999 83243 137593 249729 412779 749187 1238337 2247561 3079991 3715011 5090941 9239973 15272823 27719919 45818469 83159757 137455407 11453654099 34360962297 103082886891 309248660673 423785201663 1271355604989 3814066814967 11442200444901