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141242320206 = 232132457101599
BaseRepresentation
bin1000001110001010110…
…0101100010101001110
3111111120102100021200200
42003202230230111032
54303231013221311
6144515201034330
713130054625051
oct2034254542516
9444512307620
10141242320206
115499a675759
12234599259a6
131041c083100
146b9c616a98
153a19d1b556
hex20e2b2c54e

141242320206 has 72 divisors (see below), whose sum is σ = 332104593600. Its totient is φ = 43363651968.

The previous prime is 141242320151. The next prime is 141242320207. The reversal of 141242320206 is 602023242141.

141242320206 is a `hidden beast` number, since 1 + 4 + 12 + 423 + 20 + 206 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 141242320206.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (141242320207) 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 35 ways as a sum of consecutive naturals, for example, 1339395 + ... + 1440993.

It is an arithmetic number, because the mean of its divisors is an integer number (4612563800).

Almost surely, 2141242320206 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 141242320206, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166052296800).

141242320206 is an abundant number, since it is smaller than the sum of its proper divisors (190862273394).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

141242320206 is a wasteful number, since it uses less digits than its factorization.

141242320206 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102090 (or 102074 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 141242320206 its reverse (602023242141), we get a palindrome (743265562347).

The spelling of 141242320206 in words is "one hundred forty-one billion, two hundred forty-two million, three hundred twenty thousand, two hundred six".

Divisors: 1 2 3 6 9 13 18 26 39 78 117 169 234 338 457 507 914 1014 1371 1521 2742 3042 4113 5941 8226 11882 17823 35646 53469 77233 101599 106938 154466 203198 231699 304797 463398 609594 695097 914391 1320787 1390194 1828782 2641574 3962361 7924722 11887083 17170231 23774166 34340462 46430743 51510693 92861486 103021386 139292229 154532079 278584458 309064158 417876687 603599659 835753374 1207199318 1810798977 3621597954 5432396931 7846795567 10864793862 15693591134 23540386701 47080773402 70621160103 141242320206