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44121131040 = 2535731341953
BaseRepresentation
bin101001000101110100…
…110000100000100000
311012212212200200111110
4221011310300200200
51210330002143130
632134032543320
73121235266050
oct510564604040
9135785620443
1044121131040
1117791256868
1286740b1b40
134211b0593c
1421c7a53560
1512336d7ab0
hexa45d30820

44121131040 has 192 divisors, whose sum is σ = 159347333376. Its totient is φ = 10052370432.

The previous prime is 44121131003. The next prime is 44121131069. The reversal of 44121131040 is 4013112144.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 44121130998 and 44121131016.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1030704 + ... + 1072656.

It is an arithmetic number, because the mean of its divisors is an integer number (829934028).

Almost surely, 244121131040 is an apocalyptic number.

44121131040 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 44121131040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79673666688).

44121131040 is an abundant number, since it is smaller than the sum of its proper divisors (115226202336).

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

44121131040 is a wasteful number, since it uses less digits than its factorization.

44121131040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42291 (or 42283 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

Adding to 44121131040 its reverse (4013112144), we get a palindrome (48134243184).

The spelling of 44121131040 in words is "forty-four billion, one hundred twenty-one million, one hundred thirty-one thousand, forty".