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412304424024 = 23341266115461
BaseRepresentation
bin1011111111111110100…
…00100011110001011000
31110102020012111212121010
411333333100203301120
523223344413032044
6513224322413520
741534200531233
oct5777720436130
91412205455533
10412304424024
1114994810a279
1267aa7b012a0
132cb5988c50c
1415d543c641a
15aad1c4dbb9
hex5fff423c58

412304424024 has 96 divisors (see below), whose sum is σ = 1058181552720. Its totient is φ = 133871232000.

The previous prime is 412304423989. The next prime is 412304424029. The reversal of 412304424024 is 420424403214.

It is a junction number, because it is equal to n+sod(n) for n = 412304423982 and 412304424000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (412304424029) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 26659654 + ... + 26675114.

Almost surely, 2412304424024 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 412304424024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (529090776360).

412304424024 is an abundant number, since it is smaller than the sum of its proper divisors (645877128696).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

412304424024 is a wasteful number, since it uses less digits than its factorization.

412304424024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16213 (or 16168 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 30.

Adding to 412304424024 its reverse (420424403214), we get a palindrome (832728827238).

The spelling of 412304424024 in words is "four hundred twelve billion, three hundred four million, four hundred twenty-four thousand, twenty-four".

Divisors: 1 2 3 4 6 8 12 24 41 82 123 164 246 328 492 661 984 1322 1681 1983 2644 3362 3966 5043 5288 6724 7932 10086 13448 15461 15864 20172 27101 30922 40344 46383 54202 61844 81303 92766 108404 123688 162606 185532 216808 325212 371064 633901 650424 1111141 1267802 1901703 2222282 2535604 3333423 3803406 4444564 5071208 6666846 7606812 8889128 10219721 13333692 15213624 20439442 25989941 26667384 30659163 40878884 51979882 61318326 77969823 81757768 103959764 122636652 155939646 207919528 245273304 311879292 419008561 623758584 838017122 1257025683 1676034244 2514051366 3352068488 5028102732 10056205464 17179351001 34358702002 51538053003 68717404004 103076106006 137434808008 206152212012 412304424024