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21044443134000 = 24353111397293863
BaseRepresentation
bin1001100100011110010101…
…00011101011100000110000
32202111211101102111001122210
410302033022203223200300
510224243004420242000
6112431403403132120
74301260630130106
oct462171243534060
982454342431583
1021044443134000
116783997581340
12243a679514040
13b98636cb7cb0
1452a7b0db7c76
152676331dd350
hex1323ca8eb830

21044443134000 has 1280 divisors, whose sum is σ = 80898918137856. Its totient is φ = 4639408128000.

The previous prime is 21044443133941. The next prime is 21044443134031. The reversal of 21044443134000 is 43134444012.

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

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 24385217569 + ... + 24385218431.

Almost surely, 221044443134000 is an apocalyptic number.

21044443134000 is a gapful number since it is divisible by the number (20) 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 21044443134000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40449459068928).

21044443134000 is an abundant number, since it is smaller than the sum of its proper divisors (59854475003856).

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

21044443134000 is a wasteful number, since it uses less digits than its factorization.

21044443134000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1303 (or 1287 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 30.

Adding to 21044443134000 its reverse (43134444012), we get a palindrome (21087577578012).

The spelling of 21044443134000 in words is "twenty-one trillion, forty-four billion, four hundred forty-three million, one hundred thirty-four thousand".