Search a number
-
+
142220114145 = 33543169714437
BaseRepresentation
bin1000010001110011111…
…0101011100011100001
3111121002120020100211000
42010130332223203201
54312231322123040
6145200210342213
713163230011204
oct2043476534341
9447076210730
10142220114145
115535160181a
122369128a969
13105468169c5
146c5242393b
153a75ab3130
hex211cfab8e1

142220114145 has 64 divisors (see below), whose sum is σ = 258886045440. Its totient is φ = 74037970944.

The previous prime is 142220114117. The next prime is 142220114167. The reversal of 142220114145 is 541411022241.

142220114145 is a `hidden beast` number, since 1 + 42 + 2 + 201 + 1 + 414 + 5 = 666.

142220114145 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 142220114145 - 27 = 142220114017 is a prime.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9843867 + ... + 9858303.

It is an arithmetic number, because the mean of its divisors is an integer number (4045094460).

Almost surely, 2142220114145 is an apocalyptic number.

142220114145 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

142220114145 is a deficient number, since it is larger than the sum of its proper divisors (116665931295).

142220114145 is a wasteful number, since it uses less digits than its factorization.

142220114145 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16191 (or 16185 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

Adding to 142220114145 its reverse (541411022241), we get a palindrome (683631136386).

The spelling of 142220114145 in words is "one hundred forty-two billion, two hundred twenty million, one hundred fourteen thousand, one hundred forty-five".

Divisors: 1 3 5 9 15 27 43 45 129 135 215 387 645 1161 1697 1935 5091 5805 8485 14437 15273 25455 43311 45819 72185 72971 76365 129933 216555 218913 229095 364855 389799 620791 649665 656739 1094565 1862373 1948995 1970217 3103955 3283695 5587119 9311865 9851085 16761357 24499589 27935595 73498767 83806785 122497945 220496301 367493835 661488903 1053482327 1102481505 3160446981 3307444515 5267411635 9481340943 15802234905 28444022829 47406704715 142220114145