Search a number
-
+
4404045350331 = 35112149782177
BaseRepresentation
bin100000000010110010110…
…0011110000010110111011
3120121000121111022011100000
41000011211203300112323
51034123441102202311
613211105052044043
7633116230551324
oct100054543602673
916530544264300
104404045350331
111448821872600
125b1649a63623
1325c3b85763a3
1411322a89d44b
157985cad6056
hex401658f05bb

4404045350331 has 36 divisors (see below), whose sum is σ = 7251254801336. Its totient is φ = 2669118376320.

The previous prime is 4404045350323. The next prime is 4404045350363. The reversal of 4404045350331 is 1330535404044.

4404045350331 is a `hidden beast` number, since 4 + 40 + 40 + 45 + 3 + 503 + 31 = 666.

It is not a de Polignac number, because 4404045350331 - 23 = 4404045350323 is a prime.

It is a super-2 number, since 2×44040453503312 (a number of 26 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (4404045350371) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 74861686 + ... + 74920491.

Almost surely, 24404045350331 is an apocalyptic number.

4404045350331 is a deficient number, since it is larger than the sum of its proper divisors (2847209451005).

4404045350331 is a wasteful number, since it uses less digits than its factorization.

4404045350331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149782214 (or 149782191 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 36.

The spelling of 4404045350331 in words is "four trillion, four hundred four billion, forty-five million, three hundred fifty thousand, three hundred thirty-one".

Divisors: 1 3 9 11 27 33 81 99 121 243 297 363 891 1089 2673 3267 9801 29403 149782177 449346531 1348039593 1647603947 4044118779 4942811841 12132356337 14828435523 18123643417 36397069011 44485306569 54370930251 133455919707 163112790753 400367759121 489338372259 1468015116777 4404045350331