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41435452249 = 472612712
BaseRepresentation
bin100110100101101111…
…101101001101011001
310221221201010001210121
4212211233231031121
51134324433432444
631011333313241
72664544350532
oct464557551531
9127851101717
1041435452249
1116633261614
128044795821
133ba45948a9
1420110ab689
151127a31084
hex9a5bed359

41435452249 has 27 divisors (see below), whose sum is σ = 43655975103. Its totient is φ = 39327212400.

The previous prime is 41435452241. The next prime is 41435452291. The reversal of 41435452249 is 94225453414.

The square root of 41435452249 is 203557.

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

It can be written as a sum of positive squares in only one way, i.e., 1347403849 + 40088048400 = 36707^2 + 200220^2 .

It is not a de Polignac number, because 41435452249 - 23 = 41435452241 is a prime.

It is not an unprimeable number, because it can be changed into a prime (41435452241) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 583597884 + ... + 583597954.

Almost surely, 241435452249 is an apocalyptic number.

41435452249 is the 203557-th square number.

41435452249 is the 101779-th centered octagonal number.

It is an amenable number.

41435452249 is a deficient number, since it is larger than the sum of its proper divisors (2220522854).

41435452249 is an frugal number, since it uses more digits than its factorization.

41435452249 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 358 (or 179 counting only the distinct ones).

The product of its digits is 691200, while the sum is 43.

The spelling of 41435452249 in words is "forty-one billion, four hundred thirty-five million, four hundred fifty-two thousand, two hundred forty-nine".

Divisors: 1 47 61 71 2209 2867 3337 3721 4331 5041 134749 156839 174887 203557 236927 264191 307501 8219689 9567179 11135569 12416977 14452547 18757561 583597919 679269709 881605367 41435452249