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412241213400 = 23352687068689
BaseRepresentation
bin1011111111110110111…
…11011011011111011000
31110102001210120102220220
411333323133123133120
523223232222312100
6513214143520040
741532502332552
oct5777337333730
91412053512826
10412241213400
11149915466195
1267a8a8b9020
132cb4975a093
1415d49c504d2
15aacb414aa0
hex5ffb7db7d8

412241213400 has 48 divisors (see below), whose sum is σ = 1277947763400. Its totient is φ = 109930990080.

The previous prime is 412241213399. The next prime is 412241213401. The reversal of 412241213400 is 4312142214.

It is an interprime number because it is at equal distance from previous prime (412241213399) and next prime (412241213401).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (412241213401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 343533745 + ... + 343534944.

Almost surely, 2412241213400 is an apocalyptic number.

412241213400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

412241213400 is an abundant number, since it is smaller than the sum of its proper divisors (865706550000).

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

412241213400 is a wasteful number, since it uses less digits than its factorization.

412241213400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 687068708 (or 687068699 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 412241213400 its reverse (4312142214), we get a palindrome (416553355614).

The spelling of 412241213400 in words is "four hundred twelve billion, two hundred forty-one million, two hundred thirteen thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 150 200 300 600 687068689 1374137378 2061206067 2748274756 3435343445 4122412134 5496549512 6870686890 8244824268 10306030335 13741373780 16489648536 17176717225 20612060670 27482747560 34353434450 41224121340 51530151675 68706868900 82448242680 103060303350 137413737800 206120606700 412241213400