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142981123941 = 38181120401
BaseRepresentation
bin1000010100101001010…
…1101100111101100101
3111200001121012200000000
42011022111230331211
54320311131431231
6145403513411513
713221130333515
oct2051225547545
9450047180000
10142981123941
1155702131737
1223864109b99
1310638397866
146cc551d845
153abc7d76e6
hex214a56cf65

142981123941 has 36 divisors (see below), whose sum is σ = 215647446924. Its totient is φ = 94793328000.

The previous prime is 142981123921. The next prime is 142981123949. The reversal of 142981123941 is 149321189241.

142981123941 is a `hidden beast` number, since 142 + 9 + 8 + 112 + 394 + 1 = 666.

142981123941 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 2637233316 + 140343890625 = 51354^2 + 374625^2 .

It is not a de Polignac number, because 142981123941 - 26 = 142981123877 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (142981123949) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 1127341 + ... + 1247741.

It is an arithmetic number, because the mean of its divisors is an integer number (5990206859).

Almost surely, 2142981123941 is an apocalyptic number.

It is an amenable number.

142981123941 is a deficient number, since it is larger than the sum of its proper divisors (72666322983).

142981123941 is an frugal number, since it uses more digits than its factorization.

142981123941 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120606 (or 120585 counting only the distinct ones).

The product of its digits is 124416, while the sum is 45.

The spelling of 142981123941 in words is "one hundred forty-two billion, nine hundred eighty-one million, one hundred twenty-three thousand, nine hundred forty-one".

Divisors: 1 3 9 27 81 181 243 543 729 1629 2187 4887 6561 14661 43983 120401 131949 361203 395847 1083609 1187541 3250827 9752481 21792581 29257443 65377743 87772329 196133229 263316987 588399687 789950961 1765199061 5295597183 15886791549 47660374647 142981123941