Search a number
-
+
42032202420033 = 337301137385269
BaseRepresentation
bin10011000111010011000100…
…11111101000111101000001
312111211020110110022021222000
421203221202133220331001
521002123422304420113
6225221154402534213
711565504105436230
oct1143514237507501
9174736413267860
1042032202420033
1112435836541731
12486a157667369
131a5b809591c37
14a54525ac0b17
154cd549d6c373
hex263a627e8f41

42032202420033 has 32 divisors (see below), whose sum is σ = 71168006649600. Its totient is φ = 24017600521728.

The previous prime is 42032202420011. The next prime is 42032202420067. The reversal of 42032202420033 is 33002420223024.

It is a happy number.

42032202420033 is a `hidden beast` number, since 4 + 2 + 0 + 3 + 2 + 202 + 420 + 0 + 33 = 666.

42032202420033 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 42032202420033 - 29 = 42032202419521 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 42032202419979 and 42032202420006.

It is not an unprimeable number, because it can be changed into a prime (42032202420833) 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, 1998723 + ... + 9383991.

It is an arithmetic number, because the mean of its divisors is an integer number (2224000207800).

Almost surely, 242032202420033 is an apocalyptic number.

It is an amenable number.

42032202420033 is a deficient number, since it is larger than the sum of its proper divisors (29135804229567).

42032202420033 is a wasteful number, since it uses less digits than its factorization.

42032202420033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7415398 (or 7415392 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 27.

Adding to 42032202420033 its reverse (33002420223024), we get a palindrome (75034622643057).

The spelling of 42032202420033 in words is "forty-two trillion, thirty-two billion, two hundred two million, four hundred twenty thousand, thirty-three".

Divisors: 1 3 7 9 21 27 63 189 30113 90339 210791 271017 632373 813051 1897119 5691357 7385269 22155807 51696883 66467421 155090649 199402263 465271947 1395815841 222392605397 667177816191 1556748237779 2001533448573 4670244713337 6004600345719 14010734140011 42032202420033