Search a number
-
+
3142310414211 = 35438314924317
BaseRepresentation
bin101101101110100000010…
…010111100011110000011
3102010101212000102100200000
4231232200102330132003
5402440422431223321
610403320225331043
7443011244550633
oct55564022743603
912111760370600
103142310414211
111001712344251
12429001496a83
1319a41ac722a7
14ac1353046c3
1556b131e2826
hex2dba04bc783

3142310414211 has 96 divisors (see below), whose sum is σ = 4907411308800. Its totient is φ = 2007853432704.

The previous prime is 3142310414203. The next prime is 3142310414311. The reversal of 3142310414211 is 1124140132413.

It is a happy number.

3142310414211 is a `hidden beast` number, since 3 + 1 + 4 + 2 + 31 + 0 + 414 + 211 = 666.

3142310414211 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 3142310414211 - 23 = 3142310414203 is a prime.

It is a super-2 number, since 2×31423104142112 (a number of 26 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (3142310414311) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 129210625 + ... + 129234941.

It is an arithmetic number, because the mean of its divisors is an integer number (51118867800).

Almost surely, 23142310414211 is an apocalyptic number.

3142310414211 is a deficient number, since it is larger than the sum of its proper divisors (1765100894589).

3142310414211 is a wasteful number, since it uses less digits than its factorization.

3142310414211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24607 (or 24595 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

Adding to 3142310414211 its reverse (1124140132413), we get a palindrome (4266450546624).

The spelling of 3142310414211 in words is "three trillion, one hundred forty-two billion, three hundred ten million, four hundred fourteen thousand, two hundred eleven".

Divisors: 1 3 9 27 43 81 83 129 149 243 249 387 447 747 1161 1341 2241 3483 3569 4023 6407 6723 10449 10707 12069 12367 19221 20169 24317 32121 36207 37101 57663 72951 96363 111303 172989 218853 289089 333909 518967 531781 656559 867267 1001727 1045631 1556901 1595343 1969677 2018311 3005181 3136893 3623233 4786029 5909031 6054933 9410679 10869699 14358087 18164799 28232037 32609097 43074261 54494397 84696111 86787373 97827291 129222783 155799019 163483191 254088333 260362119 293481873 300728339 467397057 490449573 781086357 880445619 902185017 1402191171 2343259071 2706555051 4206573513 7029777213 8119665153 12619720539 12931318577 21089331639 24358995459 37859161617 38793955731 73076986377 116381867193 349145601579 1047436804737 3142310414211