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142284383241 = 371113471008101
BaseRepresentation
bin1000010010000011001…
…1110110010000001001
3111121021001011120102220
42010200303312100021
54312344300230431
6145210424044253
713164640205520
oct2044063662011
9447231146386
10142284383241
1155384909080
12236aa903689
1310556c29b60
146c5ab934b7
153a7b55ab96
hex2120cf6409

142284383241 has 64 divisors (see below), whose sum is σ = 260138704896. Its totient is φ = 66776544000.

The previous prime is 142284383239. The next prime is 142284383261. The reversal of 142284383241 is 142383482241.

It is a happy number.

It is not a de Polignac number, because 142284383241 - 21 = 142284383239 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 142284383193 and 142284383202.

It is not an unprimeable number, because it can be changed into a prime (142284383261) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 362910 + ... + 645191.

It is an arithmetic number, because the mean of its divisors is an integer number (4064667264).

Almost surely, 2142284383241 is an apocalyptic number.

142284383241 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

142284383241 is a deficient number, since it is larger than the sum of its proper divisors (117854321655).

142284383241 is a wasteful number, since it uses less digits than its factorization.

142284383241 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1008182.

The product of its digits is 294912, while the sum is 42.

It can be divided in two parts, 142284 and 383241, that added together give a palindrome (525525).

The spelling of 142284383241 in words is "one hundred forty-two billion, two hundred eighty-four million, three hundred eighty-three thousand, two hundred forty-one".

Divisors: 1 3 7 11 13 21 33 39 47 77 91 141 143 231 273 329 429 517 611 987 1001 1551 1833 3003 3619 4277 6721 10857 12831 20163 47047 141141 1008101 3024303 7056707 11089111 13105313 21170121 33267333 39315939 47380747 77623777 91737191 142142241 144158443 232871331 275211573 331665229 432475329 521188217 615949711 994995687 1009109101 1563564651 1847849133 3027327303 3648317519 4311647977 6775446821 10944952557 12934943931 20326340463 47428127747 142284383241