Search a number
-
+
141305506461 = 32719157751909
BaseRepresentation
bin1000001110011001110…
…1101110101010011101
3111111201211020110221100
42003212131232222131
54303343202201321
6144525335223313
713131452662410
oct2034635565235
9444654213840
10141305506461
1154a223024a9
1223476b17b39
131042c1a7422
146ba6b83b77
153a2064d326
hex20e676ea9d

141305506461 has 48 divisors (see below), whose sum is σ = 247107702400. Its totient is φ = 76008875904.

The previous prime is 141305506357. The next prime is 141305506481. The reversal of 141305506461 is 164605503141.

141305506461 is a `hidden beast` number, since 1 + 4 + 1 + 3 + 0 + 5 + 5 + 0 + 646 + 1 = 666.

It is not a de Polignac number, because 141305506461 - 29 = 141305505949 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (141305506481) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 188026 + ... + 563883.

Almost surely, 2141305506461 is an apocalyptic number.

It is an amenable number.

141305506461 is a deficient number, since it is larger than the sum of its proper divisors (105802195939).

141305506461 is a wasteful number, since it uses less digits than its factorization.

141305506461 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 752098 (or 752095 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The spelling of 141305506461 in words is "one hundred forty-one billion, three hundred five million, five hundred six thousand, four hundred sixty-one".

Divisors: 1 3 7 9 19 21 57 63 133 157 171 399 471 1099 1197 1413 2983 3297 8949 9891 20881 26847 62643 187929 751909 2255727 5263363 6767181 14286271 15790089 42858813 47370267 100003897 118049713 128576439 300011691 354149139 826347991 900035073 1062447417 2242944547 2479043973 6728833641 7437131919 15700611829 20186500923 47101835487 141305506461