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244322412000 = 2535320360201
BaseRepresentation
bin1110001110001011000…
…0000010010111100000
3212100122020201111120020
43203202300002113200
513000333014141000
6304123513113440
723436352144032
oct3434260022740
9770566644506
10244322412000
11946866a5367
123b4270b8880
131a068a3a174
14bb7a76bc52
15654e66aba0
hex38e2c025e0

244322412000 has 96 divisors (see below), whose sum is σ = 800400261024. Its totient is φ = 65152640000.

The previous prime is 244322411941. The next prime is 244322412001. The reversal of 244322412000 is 214223442.

244322412000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-3 number, since 3×2443224120003 (a number of 35 digits) contains 333 as substring.

It is a hoax number, since the sum of its digits (24) coincides with the sum of the digits of its distinct prime factors.

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 (244322412001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10168101 + ... + 10192100.

It is an arithmetic number, because the mean of its divisors is an integer number (8337502719).

Almost surely, 2244322412000 is an apocalyptic number.

244322412000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

244322412000 is an abundant number, since it is smaller than the sum of its proper divisors (556077849024).

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

244322412000 is a wasteful number, since it uses less digits than its factorization.

244322412000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20360229 (or 20360211 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 244322412000 its reverse (214223442), we get a palindrome (244536635442).

The spelling of 244322412000 in words is "two hundred forty-four billion, three hundred twenty-two million, four hundred twelve thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 75 80 96 100 120 125 150 160 200 240 250 300 375 400 480 500 600 750 800 1000 1200 1500 2000 2400 3000 4000 6000 12000 20360201 40720402 61080603 81440804 101801005 122161206 162881608 203602010 244322412 305403015 325763216 407204020 488644824 509005025 610806030 651526432 814408040 977289648 1018010050 1221612060 1527015075 1628816080 1954579296 2036020100 2443224120 2545025125 3054030150 3257632160 4072040200 4886448240 5090050250 6108060300 7635075375 8144080400 9772896480 10180100500 12216120600 15270150750 16288160800 20360201000 24432241200 30540301500 40720402000 48864482400 61080603000 81440804000 122161206000 244322412000