Search a number
-
+
42213423210 = 2357379756009
BaseRepresentation
bin100111010100000111…
…011011100001101010
311000221221000002022220
4213110013123201222
51142423114020320
631220444054510
73023042114460
oct472407334152
9130857002286
1042213423210
11169a2416722
128221234436
133c9980393a
142086540830
151170ea5e40
hex9d41db86a

42213423210 has 128 divisors (see below), whose sum is σ = 120142794240. Its totient is φ = 9291055104.

The previous prime is 42213423181. The next prime is 42213423253. The reversal of 42213423210 is 1232431224.

It is a happy number.

42213423210 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 725686 + ... + 781694.

It is an arithmetic number, because the mean of its divisors is an integer number (938615580).

Almost surely, 242213423210 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42213423210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60071397120).

42213423210 is an abundant number, since it is smaller than the sum of its proper divisors (77929371030).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

42213423210 is a wasteful number, since it uses less digits than its factorization.

42213423210 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56160.

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 42213423210 its reverse (1232431224), we get a palindrome (43445854434).

The spelling of 42213423210 in words is "forty-two billion, two hundred thirteen million, four hundred twenty-three thousand, two hundred ten".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 37 42 70 74 97 105 111 185 194 210 222 259 291 370 485 518 555 582 679 777 970 1110 1295 1358 1455 1554 2037 2590 2910 3395 3589 3885 4074 6790 7178 7770 10185 10767 17945 20370 21534 25123 35890 50246 53835 56009 75369 107670 112018 125615 150738 168027 251230 280045 336054 376845 392063 560090 753690 784126 840135 1176189 1680270 1960315 2072333 2352378 3920630 4144666 5432873 5880945 6216999 10361665 10865746 11761890 12433998 14506331 16298619 20723330 27164365 29012662 31084995 32597238 38030111 43518993 54328730 62169990 72531655 76060222 81493095 87037986 114090333 145063310 162986190 190150555 201016301 217594965 228180666 380301110 402032602 435189930 570451665 603048903 1005081505 1140903330 1206097806 1407114107 2010163010 2814228214 3015244515 4221342321 6030489030 7035570535 8442684642 14071141070 21106711605 42213423210