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412344143200 = 25521161637603
BaseRepresentation
bin1100000000000011010…
…00000100110101100000
31110102022222020211001201
412000001220010311200
523223440100040300
6513232302010544
741535162246463
oct6000150046540
91412288224051
10412344143200
11149968578940
1267ab9276a54
132cb64b882a2
1415d597a52da
15aad549766a
hex6001a04d60

412344143200 has 144 divisors (see below), whose sum is σ = 1098470068416. Its totient is φ = 149899276800.

The previous prime is 412344143191. The next prime is 412344143209. The reversal of 412344143200 is 2341443214.

It is an interprime number because it is at equal distance from previous prime (412344143191) and next prime (412344143209).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (412344143209) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 54230599 + ... + 54238201.

It is an arithmetic number, because the mean of its divisors is an integer number (7628264364).

Almost surely, 2412344143200 is an apocalyptic number.

412344143200 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 412344143200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (549235034208).

412344143200 is an abundant number, since it is smaller than the sum of its proper divisors (686125925216).

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

412344143200 is a wasteful number, since it uses less digits than its factorization.

412344143200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13797 (or 13784 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

Adding to 412344143200 its reverse (2341443214), we get a palindrome (414685586414).

The spelling of 412344143200 in words is "four hundred twelve billion, three hundred forty-four million, one hundred forty-three thousand, two hundred".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 32 40 44 50 55 80 88 100 110 160 176 200 220 275 352 400 440 550 800 880 1100 1760 2200 4400 6163 7603 8800 12326 15206 24652 30412 30815 38015 49304 60824 61630 67793 76030 83633 98608 121648 123260 135586 152060 154075 167266 190075 197216 243296 246520 271172 304120 308150 334532 338965 380150 418165 493040 542344 608240 616300 669064 677930 760300 836330 986080 1084688 1216480 1232600 1338128 1355860 1520600 1672660 1694825 2090825 2169376 2465200 2676256 2711720 3041200 3345320 3389650 4181650 4930400 5423440 6082400 6690640 6779300 8363300 10846880 13381280 13558600 16726600 27117200 33453200 46857289 54234400 66906400 93714578 187429156 234286445 374858312 468572890 515430179 749716624 937145780 1030860358 1171432225 1499433248 1874291560 2061720716 2342864450 2577150895 3748583120 4123441432 4685728900 5154301790 7497166240 8246882864 9371457800 10308603580 12885754475 16493765728 18742915600 20617207160 25771508950 37485831200 41234414320 51543017900 82468828640 103086035800 206172071600 412344143200