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140685756561 = 32725323372
BaseRepresentation
bin1000001100000110000…
…1100100100010010001
3111110010122001220220100
42003001201210202101
54301111023202221
6144344040003013
713110216125400
oct2030141444221
9443118056810
10140685756561
11547344951a9
1223323460469
13103609851cc
146b48739637
1539d602d926
hex20c1864891

140685756561 has 81 divisors (see below), whose sum is σ = 241651764081. Its totient is φ = 78640982784.

The previous prime is 140685756551. The next prime is 140685756569. The reversal of 140685756561 is 165657586041.

The square root of 140685756561 is 375081.

It is a perfect power (a square), and thus also a powerful number.

140685756561 is a `hidden beast` number, since 1 + 4 + 0 + 6 + 8 + 5 + 75 + 6 + 561 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 15752961 + 140670003600 = 3969^2 + 375060^2 .

It is not a de Polignac number, because 140685756561 - 211 = 140685754513 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 140685756498 and 140685756507.

It is not an unprimeable number, because it can be changed into a prime (140685756569) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 417464985 + ... + 417465321.

Almost surely, 2140685756561 is an apocalyptic number.

140685756561 is the 375081-st square number.

140685756561 is the 187541-st centered octagonal number.

It is an amenable number.

140685756561 is a deficient number, since it is larger than the sum of its proper divisors (100966007520).

140685756561 is an frugal number, since it uses more digits than its factorization.

140685756561 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 800 (or 400 counting only the distinct ones).

The product of its (nonzero) digits is 6048000, while the sum is 54.

The spelling of 140685756561 in words is "one hundred forty billion, six hundred eighty-five million, seven hundred fifty-six thousand, five hundred sixty-one".

Divisors: 1 3 7 9 21 49 53 63 147 159 337 371 441 477 1011 1113 2359 2597 2809 3033 3339 7077 7791 8427 16513 17861 19663 21231 23373 25281 49539 53583 58989 113569 125027 137641 148617 160749 176967 340707 375081 412923 794983 875189 946633 1022121 1125243 1238769 2384949 2625567 2839899 5564881 6019157 6626431 7154847 7876701 8519697 16694643 18057471 19879293 42134099 46385017 50083929 54172413 59637879 126402297 139155051 294938693 319015321 379206891 417465153 884816079 957045963 2233107247 2654448237 2871137889 6699321741 15631750729 20097965223 46895252187 140685756561