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412002442104 = 233112739756963
BaseRepresentation
bin1011111111011010100…
…00100101101101111000
31110101110011021121021120
411333231100211231320
523222240111121404
6513134334105240
741523542655411
oct5775520455570
91411404247246
10412002442104
11149802701840
1267a2294b220
132cb0c1495a6
1415d26258808
15aab549c9d9
hex5fed425b78

412002442104 has 64 divisors (see below), whose sum is σ = 1123703763840. Its totient is φ = 124842476160.

The previous prime is 412002442031. The next prime is 412002442153. The reversal of 412002442104 is 401244200214.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 7204327 + ... + 7261289.

It is an arithmetic number, because the mean of its divisors is an integer number (17557871310).

Almost surely, 2412002442104 is an apocalyptic number.

412002442104 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

412002442104 is an abundant number, since it is smaller than the sum of its proper divisors (711701321736).

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

412002442104 is a wasteful number, since it uses less digits than its factorization.

412002442104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84380 (or 84376 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 24.

Adding to 412002442104 its reverse (401244200214), we get a palindrome (813246642318).

The spelling of 412002442104 in words is "four hundred twelve billion, two million, four hundred forty-two thousand, one hundred four".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 132 264 27397 54794 56963 82191 109588 113926 164382 170889 219176 227852 301367 328764 341778 455704 602734 626593 657528 683556 904101 1205468 1253186 1367112 1808202 1879779 2410936 2506372 3616404 3759558 5012744 7232808 7519116 15038232 1560615311 3121230622 4681845933 6242461244 9363691866 12484922488 17166768421 18727383732 34333536842 37454767464 51500305263 68667073684 103000610526 137334147368 206001221052 412002442104