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44143249920 = 2935711174391
BaseRepresentation
bin101001000111001001…
…001000101000000000
311012221102022102220020
4221013021020220000
51210401132444140
632140143013440
73121624301430
oct510711105000
9135842272806
1044143249920
11177a2794030
12867b59a280
13421657b633
1421ca9702c0
1512356066d0
hexa47248a00

44143249920 has 640 divisors, whose sum is σ = 186334359552. Its totient is φ = 8631091200.

The previous prime is 44143249919. The next prime is 44143249949. The reversal of 44143249920 is 2994234144.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10050925 + ... + 10055315.

Almost surely, 244143249920 is an apocalyptic number.

44143249920 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 44143249920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93167179776).

44143249920 is an abundant number, since it is smaller than the sum of its proper divisors (142191109632).

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

44143249920 is a wasteful number, since it uses less digits than its factorization.

44143249920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4452 (or 4436 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 42.

It can be divided in two parts, 4414324 and 9920, that added together give a palindrome (4424244).

The spelling of 44143249920 in words is "forty-four billion, one hundred forty-three million, two hundred forty-nine thousand, nine hundred twenty".