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142424241141 = 37132294729443
BaseRepresentation
bin1000010010100100100…
…1010111001111110101
3111121121210100002102010
42010221021113033311
54313141101204031
6145232341434433
713201256034510
oct2045111271765
9447553302363
10142424241141
1155446853416
122372970ba19
1310579bb7600
146c7159bd77
153a88985246
hex21292573f5

142424241141 has 96 divisors (see below), whose sum is σ = 248290652160. Its totient is φ = 70988666112.

The previous prime is 142424241109. The next prime is 142424241217. The reversal of 142424241141 is 141142424241.

142424241141 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 142424241141 - 25 = 142424241109 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 142424241099 and 142424241108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (142424241041) 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 95 ways as a sum of consecutive naturals, for example, 4822566 + ... + 4852008.

It is an arithmetic number, because the mean of its divisors is an integer number (2586360960).

Almost surely, 2142424241141 is an apocalyptic number.

It is an amenable number.

142424241141 is a deficient number, since it is larger than the sum of its proper divisors (105866411019).

142424241141 is a wasteful number, since it uses less digits than its factorization.

142424241141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29555 (or 29542 counting only the distinct ones).

The product of its digits is 8192, while the sum is 30.

Adding to 142424241141 its reverse (141142424241), we get a palindrome (283566665382).

The spelling of 142424241141 in words is "one hundred forty-two billion, four hundred twenty-four million, two hundred forty-one thousand, one hundred forty-one".

Divisors: 1 3 7 13 21 29 39 47 87 91 141 169 203 273 329 377 507 609 611 987 1131 1183 1363 1833 2639 3549 4089 4277 4901 7917 7943 9541 12831 14703 17719 23829 28623 29443 34307 53157 55601 88329 102921 124033 166803 206101 230347 372099 382759 618303 691041 853847 1148277 1383821 1612429 2561541 2679313 4151463 4837287 4975867 5976929 8037939 9686747 11100011 14927601 17930787 17989673 29060241 33300033 34831069 40130809 53969019 77700077 104493207 120392427 125927711 144300143 233100231 233865749 280915663 377783133 432900429 521700517 701597247 842746989 1010101001 1565101551 1637060243 3030303003 3651903619 4911180729 6782106721 10955710857 20346320163 47474747047 142424241141