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41287395249 = 3410722112
BaseRepresentation
bin100110011100111010…
…111010011110110001
310221120101111222210000
4212130322322132301
51134024033121444
630544524100213
72661066032502
oct463472723661
9127511458700
1041287395249
1116567727161
128003094669
133b7c9c61b9
141dd956aba9
151119a37469
hex99ceba7b1

41287395249 has 45 divisors (see below), whose sum is σ = 62554493001. Its totient is φ = 27138457080.

The previous prime is 41287395217. The next prime is 41287395263. The reversal of 41287395249 is 94259378214.

The square root of 41287395249 is 203193.

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

41287395249 is a `hidden beast` number, since 4 + 1 + 2 + 8 + 7 + 395 + 249 = 666.

It is not a de Polignac number, because 41287395249 - 25 = 41287395217 is a prime.

Its product of digits (4354560) is a multiple of the sum of its prime factors (648).

It is a junction number, because it is equal to n+sod(n) for n = 41287395195 and 41287395204.

It is not an unprimeable number, because it can be changed into a prime (41287395349) 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, 195674754 + ... + 195674964.

Almost surely, 241287395249 is an apocalyptic number.

41287395249 is the 203193-rd square number.

41287395249 is the 101597-th centered octagonal number.

It is an amenable number.

41287395249 is a deficient number, since it is larger than the sum of its proper divisors (21267097752).

41287395249 is an frugal number, since it uses more digits than its factorization.

41287395249 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 648 (or 321 counting only the distinct ones).

The product of its digits is 4354560, while the sum is 54.

The spelling of 41287395249 in words is "forty-one billion, two hundred eighty-seven million, three hundred ninety-five thousand, two hundred forty-nine".

Divisors: 1 3 9 27 81 107 211 321 633 963 1899 2889 5697 8667 11449 17091 22577 34347 44521 67731 103041 133563 203193 309123 400689 609579 927369 1202067 1828737 2415739 3606201 4763747 7247217 14291241 21741651 42873723 65224953 128621169 195674859 385863507 509720929 1529162787 4587488361 13762465083 41287395249