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40300011241 = 723731770121
BaseRepresentation
bin100101100010000100…
…010101111011101001
310212000120120200112221
4211202010111323221
51130013300324431
630302533034041
72624446305100
oct454204257351
9125016520487
1040300011241
111610033aa16
127988485921
133a532854c9
141d44385037
1510acee9111
hex962115ee9

40300011241 has 24 divisors (see below), whose sum is σ = 48299192136. Its totient is φ = 33502775040.

The previous prime is 40300011239. The next prime is 40300011259. The reversal of 40300011241 is 14211000304.

It can be written as a sum of positive squares in 4 ways, for example, as 332004841 + 39968006400 = 18221^2 + 199920^2 .

It is not a de Polignac number, because 40300011241 - 21 = 40300011239 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (40300011841) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 539661 + ... + 609781.

It is an arithmetic number, because the mean of its divisors is an integer number (2012466339).

Almost surely, 240300011241 is an apocalyptic number.

It is an amenable number.

40300011241 is a deficient number, since it is larger than the sum of its proper divisors (7999180895).

40300011241 is a wasteful number, since it uses less digits than its factorization.

40300011241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70489 (or 70482 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 40300011241 its reverse (14211000304), we get a palindrome (54511011545).

The spelling of 40300011241 in words is "forty billion, three hundred million, eleven thousand, two hundred forty-one".

Divisors: 1 7 37 49 259 317 1813 2219 11729 15533 70121 82103 490847 574721 2594477 3435929 18161339 22228357 127129373 155598499 822449209 1089189493 5757144463 40300011241