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44213190490000 = 245474232592
BaseRepresentation
bin10100000110110001011111…
…00000110111011110010000
312210112201222021010201100201
422003120233200313132100
521243342103231140000
6234011132002224544
712212204035240000
oct1203305740673620
9183481867121321
1044213190490000
11130a678843a244
124b60990055154
131b8939438b81c
14acbd03690000
1551a14717996a
hex28362f837790

44213190490000 has 1125 divisors, whose sum is σ = 132793523534903. Its totient is φ = 14253971424000.

The previous prime is 44213190489997. The next prime is 44213190490019. The reversal of 44213190490000 is 9409131244.

The square root of 44213190490000 is 6649300.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 2 ways, for example, as 3466314134416 + 40746876355584 = 1861804^2 + 6383328^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 224 ways as a sum of consecutive naturals, for example, 749376109971 + ... + 749376110029.

Almost surely, 244213190490000 is an apocalyptic number.

44213190490000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

44213190490000 is the 6649300-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 44213190490000

44213190490000 is an abundant number, since it is smaller than the sum of its proper divisors (88580333044903).

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

44213190490000 is an frugal number, since it uses more digits than its factorization.

44213190490000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 220 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 37.

The spelling of 44213190490000 in words is "forty-four trillion, two hundred thirteen billion, one hundred ninety million, four hundred ninety thousand".