Search a number
-
+
42020224011 = 3317271731039
BaseRepresentation
bin100111001000100110…
…011011110000001011
311000110110110112212000
4213020212123300023
51142024134132021
631145343122043
73015205003503
oct471046336013
9130413415760
1042020224011
1116903359267
1281885a3323
133c6878ac9c
142068a0ca03
15115e041b26
hex9c899bc0b

42020224011 has 96 divisors (see below), whose sum is σ = 68044953600. Its totient is φ = 25613521920.

The previous prime is 42020223983. The next prime is 42020224067. The reversal of 42020224011 is 11042202024.

42020224011 is a `hidden beast` number, since 420 + 2 + 0 + 2 + 240 + 1 + 1 = 666.

It is not a de Polignac number, because 42020224011 - 211 = 42020221963 is a prime.

It is not an unprimeable number, because it can be changed into a prime (42020225011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 40442430 + ... + 40443468.

It is an arithmetic number, because the mean of its divisors is an integer number (708801600).

Almost surely, 242020224011 is an apocalyptic number.

42020224011 is a deficient number, since it is larger than the sum of its proper divisors (26024729589).

42020224011 is a wasteful number, since it uses less digits than its factorization.

42020224011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1226 (or 1203 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 42020224011 its reverse (11042202024), we get a palindrome (53062426035).

The spelling of 42020224011 in words is "forty-two billion, twenty million, two hundred twenty-four thousand, eleven".

Divisors: 1 3 9 17 27 51 71 73 153 213 219 289 459 639 657 867 1039 1207 1241 1917 1971 2601 3117 3621 3723 5183 7803 9351 10863 11169 15549 17663 20519 21097 28053 32589 33507 46647 52989 61557 63291 73769 75847 88111 139941 158967 184671 189873 221307 227541 264333 300271 476901 554013 569619 663921 682623 792999 900813 1254073 1289399 1497887 1991763 2047869 2378997 2702439 3762219 3868197 4493661 5385137 8107317 11286657 11604591 13480983 16155411 21319241 21919783 33859971 34813773 40442949 48466233 63957723 65759349 91547329 145398699 191873169 197278047 274641987 575619507 591834141 823925961 1556304593 2471777883 4668913779 14006741337 42020224011