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44224024000240 = 245778971471429
BaseRepresentation
bin10100000111000101101010…
…01111011011011011110000
312210120202221021022001120201
422003202311033123123300
521244031300121001430
6234020123002044544
712213036353453650
oct1203426517333360
9183522837261521
1044224024000240
11131003376a2897
124b62ab41a9754
131b8a3cc962806
14acc6503c2360
1551a57d2cd8ca
hex2838b53db6f0

44224024000240 has 40 divisors (see below), whose sum is σ = 117509549487840. Its totient is φ = 15162522514176.

The previous prime is 44224024000237. The next prime is 44224024000243. The reversal of 44224024000240 is 4200042042244.

It is an interprime number because it is at equal distance from previous prime (44224024000237) and next prime (44224024000243).

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 44224024000199 and 44224024000208.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (44224024000243) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 39485735155 + ... + 39485736274.

It is an arithmetic number, because the mean of its divisors is an integer number (2937738737196).

Almost surely, 244224024000240 is an apocalyptic number.

44224024000240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

44224024000240 is an abundant number, since it is smaller than the sum of its proper divisors (73285525487600).

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

44224024000240 is a wasteful number, since it uses less digits than its factorization.

44224024000240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78971471449 (or 78971471443 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 28.

Adding to 44224024000240 its reverse (4200042042244), we get a palindrome (48424066042484).

The spelling of 44224024000240 in words is "forty-four trillion, two hundred twenty-four billion, twenty-four million, two hundred forty", and thus it is an aban number.

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 140 280 560 78971471429 157942942858 315885885716 394857357145 552800300003 631771771432 789714714290 1105600600006 1263543542864 1579429428580 2211201200012 2764001500015 3158858857160 4422402400024 5528003000030 6317717714320 8844804800048 11056006000060 22112012000120 44224024000240