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40584209147 = 312151307911
BaseRepresentation
bin100101110011000000…
…011110001011111011
310212202101100102210022
4211303000132023323
51131104024143042
630351044241055
72634500041316
oct456300361373
9125671312708
1040584209147
1116236801019
127a476a018b
133a9a10c851
141d7000397d
1510c7e35cd2
hex97301e2fb

40584209147 has 24 divisors (see below), whose sum is σ = 42397318656. Its totient is φ = 38845170000.

The previous prime is 40584209137. The next prime is 40584209161. The reversal of 40584209147 is 74190248504.

It is not a de Polignac number, because 40584209147 - 210 = 40584208123 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 40584209098 and 40584209107.

It is not an unprimeable number, because it can be changed into a prime (40584209137) 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 23 ways as a sum of consecutive naturals, for example, 44548622 + ... + 44549532.

It is an arithmetic number, because the mean of its divisors is an integer number (1766554944).

Almost surely, 240584209147 is an apocalyptic number.

40584209147 is a deficient number, since it is larger than the sum of its proper divisors (1813109509).

40584209147 is a wasteful number, since it uses less digits than its factorization.

40584209147 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1431 (or 1400 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 44.

The spelling of 40584209147 in words is "forty billion, five hundred eighty-four million, two hundred nine thousand, one hundred forty-seven".

Divisors: 1 31 151 307 911 961 4681 9517 28241 46357 137561 145111 279677 295027 875471 1437067 4264391 8669987 42231227 44549077 132196121 268769597 1309168037 40584209147