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142405146873 = 39118112
BaseRepresentation
bin1000010010100000000…
…0100001100011111001
3111121120110102000000000
42010220000201203321
54313121204144443
6145230420303213
713200634530213
oct2045000414371
9447513360000
10142405146873
1155436aa1630
1223723241b09
1310575c60522
146c6cc2b5b3
153a86e628d3
hex21280218f9

142405146873 has 60 divisors (see below), whose sum is σ = 233310339504. Its totient is φ = 86199730200.

The previous prime is 142405146749. The next prime is 142405146883. The reversal of 142405146873 is 378641504241.

142405146873 is a `hidden beast` number, since 1 + 4 + 2 + 4 + 0 + 514 + 68 + 73 = 666.

It is not a de Polignac number, because 142405146873 - 29 = 142405146361 is a prime.

It is not an unprimeable number, because it can be changed into a prime (142405146883) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 175591638 + ... + 175592448.

Almost surely, 2142405146873 is an apocalyptic number.

It is an amenable number.

142405146873 is a deficient number, since it is larger than the sum of its proper divisors (90905192631).

142405146873 is an frugal number, since it uses more digits than its factorization.

142405146873 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1660 (or 825 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The spelling of 142405146873 in words is "one hundred forty-two billion, four hundred five million, one hundred forty-six thousand, eight hundred seventy-three".

Divisors: 1 3 9 11 27 33 81 99 243 297 729 811 891 2187 2433 2673 6561 7299 8019 8921 19683 21897 24057 26763 65691 72171 80289 197073 216513 240867 591219 657721 722601 1773657 1973163 2167803 5320971 5919489 6503409 7234931 15962913 17758467 19510227 21704793 53275401 58530681 65114379 159826203 175592043 195343137 479478609 586029411 1438435827 1758088233 4315307481 5274264699 12945922443 15822794097 47468382291 142405146873