Search a number
-
+
420443520250041 = 33113479287693429
BaseRepresentation
bin101111110011001000010001…
…0101011000011000010111001
32001010200000012211022202112000
41133212100202223003002321
5420102021312141000131
64050113030423211213
7154363020243615561
oct13746204253030271
92033600184282460
10420443520250041
11111a6a106272022
123b1a49302a6b09
131507a86662bb62
1475b7809985da1
153391a7a451ce6
hex17e6422ac30b9

420443520250041 has 32 divisors (see below), whose sum is σ = 629703379584000. Its totient is φ = 277235196505344.

The previous prime is 420443520249989. The next prime is 420443520250051. The reversal of 420443520250041 is 140052025344024.

420443520250041 is a `hidden beast` number, since 4 + 2 + 0 + 4 + 43 + 520 + 2 + 50 + 0 + 41 = 666.

It is not a de Polignac number, because 420443520250041 - 229 = 420442983379129 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 420443520249978 and 420443520250005.

It is not an unprimeable number, because it can be changed into a prime (420443520250051) 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, 142385286 + ... + 145308143.

It is an arithmetic number, because the mean of its divisors is an integer number (19678230612000).

Almost surely, 2420443520250041 is an apocalyptic number.

It is an amenable number.

420443520250041 is a deficient number, since it is larger than the sum of its proper divisors (209259859333959).

420443520250041 is a wasteful number, since it uses less digits than its factorization.

420443520250041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 287694030 (or 287694024 counting only the distinct ones).

The product of its (nonzero) digits is 153600, while the sum is 36.

Adding to 420443520250041 its reverse (140052025344024), we get a palindrome (560495545594065).

The spelling of 420443520250041 in words is "four hundred twenty trillion, four hundred forty-three billion, five hundred twenty million, two hundred fifty thousand, forty-one".

Divisors: 1 3 9 27 113 339 479 1017 1437 3051 4311 12933 54127 162381 487143 1461429 287693429 863080287 2589240861 7767722583 32509357477 97528072431 137805152491 292584217293 413415457473 877752651879 1240246372419 3720739117257 15571982231483 46715946694449 140147840083347 420443520250041