Search a number
-
+
142113610541 = 7292374315173
BaseRepresentation
bin1000010001011010100…
…0011001101100101101
3111120211010211102100002
42010112220121230231
54312022041014131
6145141443514045
713160464521110
oct2042650315455
9446733742302
10142113610541
11552a7479011
1223661688925
131052a736c16
146c4221c577
153a6b5766cb
hex2116a19b2d

142113610541 has 48 divisors (see below), whose sum is σ = 176784626304. Its totient is φ = 111763991808.

The previous prime is 142113610511. The next prime is 142113610591. The reversal of 142113610541 is 145016311241.

It is not a de Polignac number, because 142113610541 - 222 = 142109416237 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (142113610511) 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 47 ways as a sum of consecutive naturals, for example, 9358631 + ... + 9373803.

It is an arithmetic number, because the mean of its divisors is an integer number (3683013048).

Almost surely, 2142113610541 is an apocalyptic number.

It is an amenable number.

142113610541 is a deficient number, since it is larger than the sum of its proper divisors (34671015763).

142113610541 is a wasteful number, since it uses less digits than its factorization.

142113610541 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15318 (or 15289 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 29.

Adding to 142113610541 its reverse (145016311241), we get a palindrome (287129921782).

The spelling of 142113610541 in words is "one hundred forty-two billion, one hundred thirteen million, six hundred ten thousand, five hundred forty-one".

Divisors: 1 7 29 37 43 203 259 301 841 1073 1247 1591 5887 7511 8729 11137 15173 31117 36163 46139 106211 217819 253141 322973 440017 561401 652439 1338031 3080119 3929807 4567073 9366217 12760493 16280629 18920731 24140243 89323451 113964403 132445117 168981701 472138241 548701199 700067047 3304967687 3840908393 4900469329 20301944363 142113610541