Search a number
-
+
142032230241 = 311171926611061
BaseRepresentation
bin1000010001000111000…
…1111101011101100001
3111120121110200212112220
42010101301331131201
54311340222331431
6145125415341253
713155456015546
oct2042161753541
9446543625486
10142032230241
1155265544870
122363a381829
13105169124b5
146c354b6bcd
153a6434db96
hex2111c7d761

142032230241 has 96 divisors (see below), whose sum is σ = 231430836096. Its totient is φ = 76564224000.

The previous prime is 142032230239. The next prime is 142032230243.

It is a happy number.

142032230241 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (142032230239) and next prime (142032230243).

It is not a de Polignac number, because 142032230241 - 21 = 142032230239 is a prime.

It is not an unprimeable number, because it can be changed into a prime (142032230243) 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, 133865851 + ... + 133866911.

It is an arithmetic number, because the mean of its divisors is an integer number (2410737876).

Almost surely, 2142032230241 is an apocalyptic number.

142032230241 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

142032230241 is a deficient number, since it is larger than the sum of its proper divisors (89398605855).

142032230241 is a wasteful number, since it uses less digits than its factorization.

142032230241 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1791 (or 1772 counting only the distinct ones).

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

It can be divided in two parts, 142032 and 230241, that added together give a palindrome (372273).

The spelling of 142032230241 in words is "one hundred forty-two billion, thirty-two million, two hundred thirty thousand, two hundred forty-one".

Divisors: 1 3 11 17 19 33 51 57 187 209 323 361 561 627 661 969 1061 1083 1983 3183 3553 3971 6137 7271 10659 11237 11671 11913 12559 18037 18411 20159 21813 33711 35013 37677 54111 60477 67507 123607 138149 198407 202521 213503 221749 238621 342703 370821 383021 414447 595221 640509 665247 701321 715863 1028109 1149063 2103963 2348533 2624831 3769733 4056557 4213231 6511357 7045599 7714531 7874493 11309199 11922457 12169671 12639693 13325099 19534071 23143593 35767371 39975297 44622127 71624927 131147027 133866381 146576089 214874781 226526683 253176881 393441081 439728267 679580049 759530643 2491793513 2784945691 4304006977 7475380539 8354837073 12912020931 47344076747 142032230241