Search a number
-
+
142244166195 = 325234319916061
BaseRepresentation
bin1000010001111001101…
…0011011101000110011
3111121011020111100000200
42010132122123220303
54312304001304240
6145202430050243
713163641314615
oct2043632335063
9447136440020
10142244166195
115536413a44a
1223699349983
131054b7b85a1
146c556c4db5
153a77c64930
hex211e69ba33

142244166195 has 96 divisors (see below), whose sum is σ = 264598963200. Its totient is φ = 70517018880.

The previous prime is 142244166167. The next prime is 142244166257. The reversal of 142244166195 is 591661442241.

142244166195 is a `hidden beast` number, since 1 + 4 + 2 + 24 + 4 + 1 + 6 + 619 + 5 = 666.

142244166195 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 142244166195 - 27 = 142244166067 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 142244166195.

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 95 ways as a sum of consecutive naturals, for example, 8848465 + ... + 8864525.

It is an arithmetic number, because the mean of its divisors is an integer number (2756239200).

Almost surely, 2142244166195 is an apocalyptic number.

142244166195 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

142244166195 is a deficient number, since it is larger than the sum of its proper divisors (122354797005).

142244166195 is a wasteful number, since it uses less digits than its factorization.

142244166195 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16337 (or 16334 counting only the distinct ones).

The product of its digits is 414720, while the sum is 45.

The spelling of 142244166195 in words is "one hundred forty-two billion, two hundred forty-four million, one hundred sixty-six thousand, one hundred ninety-five".

Divisors: 1 3 5 9 15 23 43 45 69 115 129 199 207 215 345 387 597 645 989 995 1035 1791 1935 2967 2985 4577 4945 8557 8901 8955 13731 14835 16061 22885 25671 41193 42785 44505 48183 68655 77013 80305 128355 144549 196811 205965 240915 369403 385065 590433 690623 722745 984055 1108209 1771299 1847015 2071869 2952165 3196139 3324627 3453115 5541045 6215607 8856495 9588417 10359345 15884329 15980695 16623135 28765251 31078035 47652987 47942085 73511197 79421645 137433977 142958961 143826255 220533591 238264935 367555985 412301931 661600773 687169885 714794805 1102667955 1236905793 2061509655 3160981471 3308003865 6184528965 9482944413 15804907355 28448833239 47414722065 142244166195