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141058082929 = 4726121312
BaseRepresentation
bin1000001101011110110…
…1111000100001110001
3111111002120200001122211
42003113231320201301
54302341332123204
6144445020132121
713122356631121
oct2032755704161
9444076601584
10141058082929
1154905679545
1223408097041
13103bcb5767a
146b81d78c81
153a08a77804
hex20d7b78871

141058082929 has 27 divisors (see below), whose sum is σ = 147651628683. Its totient is φ = 134757027600.

The previous prime is 141058082899. The next prime is 141058082933. The reversal of 141058082929 is 929280850141.

The square root of 141058082929 is 375577.

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

141058082929 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 4586946529 + 136471136400 = 67727^2 + 369420^2 .

It is not a de Polignac number, because 141058082929 - 229 = 140521212017 is a prime.

It is not an unprimeable number, because it can be changed into a prime (141058082999) 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 26 ways as a sum of consecutive naturals, for example, 1076779194 + ... + 1076779324.

Almost surely, 2141058082929 is an apocalyptic number.

141058082929 is the 375577-th square number.

141058082929 is the 187789-th centered octagonal number.

It is an amenable number.

141058082929 is a deficient number, since it is larger than the sum of its proper divisors (6593545754).

141058082929 is an frugal number, since it uses more digits than its factorization.

141058082929 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 478 (or 239 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 49.

Multiplying 141058082929 by its sum of digits (49), we get a square (6911846063521 = 26290392).

The spelling of 141058082929 in words is "one hundred forty-one billion, fifty-eight million, eighty-two thousand, nine hundred twenty-nine".

Divisors: 1 47 61 131 2209 2867 3721 6157 7991 17161 134749 174887 289379 375577 487451 806567 1046821 8219689 17652119 22910197 37908649 49200587 63856081 1076779259 2312427589 3001235807 141058082929