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244343123040 = 2535509048173
BaseRepresentation
bin1110001110001111111…
…1000010110001100000
3212100200200200201202210
43203203333002301200
513000403314414130
6304125533042120
723440023164052
oct3434377026140
9770620621683
10244343123040
1194697360925
123b432026340
131a07010c113
14bb7d3dd8d2
1565513ac5b0
hex38e3fc2c60

244343123040 has 48 divisors (see below), whose sum is σ = 769680839088. Its totient is φ = 65158166016.

The previous prime is 244343122951. The next prime is 244343123069. The reversal of 244343123040 is 40321343442.

It is a happy number.

244343123040 is digitally balanced in base 2, 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 (48).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 244343122989 and 244343123007.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 254523607 + ... + 254524566.

It is an arithmetic number, because the mean of its divisors is an integer number (16035017481).

Almost surely, 2244343123040 is an apocalyptic number.

244343123040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

244343123040 is an abundant number, since it is smaller than the sum of its proper divisors (525337716048).

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

244343123040 is a wasteful number, since it uses less digits than its factorization.

244343123040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 509048191 (or 509048183 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 30.

Adding to 244343123040 its reverse (40321343442), we get a palindrome (284664466482).

The spelling of 244343123040 in words is "two hundred forty-four billion, three hundred forty-three million, one hundred twenty-three thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 509048173 1018096346 1527144519 2036192692 2545240865 3054289038 4072385384 5090481730 6108578076 7635722595 8144770768 10180963460 12217156152 15271445190 16289541536 20361926920 24434312304 30542890380 40723853840 48868624608 61085780760 81447707680 122171561520 244343123040