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412324040535 = 351115124168669
BaseRepresentation
bin1100000000000000110…
…11011000111101010111
31110102021120102111101120
412000000123120331113
523223414423244120
6513230303055023
741534526342231
oct6000033307527
91412246374346
10412324040535
11149958198470
1267ab25a1473
132cb6096a214
1415d56c51251
15aad3826140
hex60006d8f57

412324040535 has 64 divisors (see below), whose sum is σ = 727475696640. Its totient is φ = 197763840000.

The previous prime is 412324040533. The next prime is 412324040537. The reversal of 412324040535 is 535040423214.

It is an interprime number because it is at equal distance from previous prime (412324040533) and next prime (412324040537).

It is not a de Polignac number, because 412324040535 - 21 = 412324040533 is a prime.

It is a super-2 number, since 2×4123240405352 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 412324040496 and 412324040505.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (412324040533) 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 63 ways as a sum of consecutive naturals, for example, 5970181 + ... + 6038849.

It is an arithmetic number, because the mean of its divisors is an integer number (11366807760).

Almost surely, 2412324040535 is an apocalyptic number.

412324040535 is a deficient number, since it is larger than the sum of its proper divisors (315151656105).

412324040535 is a wasteful number, since it uses less digits than its factorization.

412324040535 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69080.

The product of its (nonzero) digits is 57600, while the sum is 33.

Adding to 412324040535 its reverse (535040423214), we get a palindrome (947364463749).

The spelling of 412324040535 in words is "four hundred twelve billion, three hundred twenty-four million, forty thousand, five hundred thirty-five".

Divisors: 1 3 5 11 15 33 55 151 165 241 453 723 755 1205 1661 2265 2651 3615 4983 7953 8305 13255 24915 36391 39765 68669 109173 181955 206007 343345 400301 545865 755359 1030035 1200903 2001505 2266077 3776795 6004515 10369019 11330385 16549229 31107057 49647687 51845095 82746145 114059209 155535285 182041519 248238435 342177627 546124557 570296045 910207595 1710888135 2498933579 2730622785 7496800737 12494667895 27488269369 37484003685 82464808107 137441346845 412324040535