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141059585241 = 3429214392
BaseRepresentation
bin1000001101011111001…
…1100111010011011001
3111111002200111101110000
42003113303213103121
54302342223211431
6144445112243213
713122405456051
oct2032763472331
9444080441400
10141059585241
1154906505223
12234086a0509
13103c0262403
146b8224a561
153a08c729e6
hex20d7ce74d9

141059585241 has 45 divisors (see below), whose sum is σ = 218387119951. Its totient is φ = 90733877136.

The previous prime is 141059585239. The next prime is 141059585273. The reversal of 141059585241 is 142585950141.

The square root of 141059585241 is 375579.

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

141059585241 is a `hidden beast` number, since 1 + 4 + 1 + 0 + 595 + 8 + 52 + 4 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 73968224841 + 67091360400 = 271971^2 + 259020^2 .

It is not a de Polignac number, because 141059585241 - 21 = 141059585239 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (141059583241) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 98025400 + ... + 98026838.

Almost surely, 2141059585241 is an apocalyptic number.

141059585241 is the 375579-th square number.

141059585241 is the 187790-th centered octagonal number.

It is an amenable number.

141059585241 is a deficient number, since it is larger than the sum of its proper divisors (77327534710).

141059585241 is an frugal number, since it uses more digits than its factorization.

141059585241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2948 (or 1471 counting only the distinct ones).

The product of its (nonzero) digits is 288000, while the sum is 45.

The spelling of 141059585241 in words is "one hundred forty-one billion, fifty-nine million, five hundred eighty-five thousand, two hundred forty-one".

Divisors: 1 3 9 27 29 81 87 261 783 841 1439 2349 2523 4317 7569 12951 22707 38853 41731 68121 116559 125193 375579 1126737 1210199 2070721 3380211 3630597 6212163 10891791 18636489 32675373 55909467 60050909 98026119 167728401 180152727 540458181 1621374543 1741476361 4864123629 5224429083 15673287249 47019861747 141059585241