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142353353241 = 3211591012271063
BaseRepresentation
bin1000010010010011101…
…0111100101000011001
3111121102211221121111100
42010210322330220121
54313014424300431
6145221330222013
713166435352321
oct2044472745031
9447384847440
10142353353241
115540a836280
1223709a24909
13105682c78c8
146c65dc8281
153a826314e6
hex2124ebca19

142353353241 has 96 divisors (see below), whose sum is σ = 231607434240. Its totient is φ = 83524176000.

The previous prime is 142353353183. The next prime is 142353353281.

142353353241 is a `hidden beast` number, since 14 + 2 + 3 + 53 + 353 + 241 = 666.

142353353241 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 142353353241 - 213 = 142353345049 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 142353353196 and 142353353205.

It is not an unprimeable number, because it can be changed into a prime (142353353281) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 133916076 + ... + 133917138.

It is an arithmetic number, because the mean of its divisors is an integer number (2412577440).

Almost surely, 2142353353241 is an apocalyptic number.

142353353241 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

142353353241 is a deficient number, since it is larger than the sum of its proper divisors (89254080999).

142353353241 is a wasteful number, since it uses less digits than its factorization.

142353353241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1467 (or 1464 counting only the distinct ones).

The product of its digits is 129600, while the sum is 36.

It can be divided in two parts, 142353 and 353241, that added together give a palindrome (495594).

The spelling of 142353353241 in words is "one hundred forty-two billion, three hundred fifty-three million, three hundred fifty-three thousand, two hundred forty-one".

Divisors: 1 3 9 11 33 59 99 101 177 227 303 531 649 681 909 1063 1111 1947 2043 2497 3189 3333 5841 5959 7491 9567 9999 11693 13393 17877 22473 22927 35079 40179 53631 62717 65549 68781 105237 107363 120537 147323 188151 196647 206343 241301 252197 322089 441969 564453 589941 689887 723903 756591 966267 1180993 1325907 1352693 2069661 2171709 2269773 2654311 3542979 4058079 6208983 6334417 7962933 10628937 12174237 14236759 14879623 19003251 23888799 24371401 42710277 44638869 57009753 69678587 73114203 128130831 133916607 156604349 209035761 219342609 268085411 469813047 627107283 804256233 1409439141 1437912659 2412768699 4313737977 12941213931 15817039249 47451117747 142353353241