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44354244480 = 27357131931431
BaseRepresentation
bin101001010011101110…
…000000111110000000
311020111010100002000120
4221103232000332000
51211314141310410
632213121220240
73130065600060
oct512356007600
9136433302016
1044354244480
11178a08a63a7
12871a191680
13424b1b50a0
14220a9b53a0
151248dd3570
hexa53b80f80

44354244480 has 1024 divisors, whose sum is σ = 189510451200. Its totient is φ = 8559820800.

The previous prime is 44354244469. The next prime is 44354244497. The reversal of 44354244480 is 8444245344.

It is a super-2 number, since 2×443542444802 (a number of 22 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 102909865 + ... + 102910295.

It is an arithmetic number, because the mean of its divisors is an integer number (185068800).

Almost surely, 244354244480 is an apocalyptic number.

44354244480 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 44354244480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94755225600).

44354244480 is an abundant number, since it is smaller than the sum of its proper divisors (145156206720).

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

44354244480 is a wasteful number, since it uses less digits than its factorization.

44354244480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 523 (or 511 counting only the distinct ones).

The product of its (nonzero) digits is 983040, while the sum is 42.

The spelling of 44354244480 in words is "forty-four billion, three hundred fifty-four million, two hundred forty-four thousand, four hundred eighty".