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44221969440 = 25345111771257
BaseRepresentation
bin101001001011110101…
…011011010000100000
311020010220102210210000
4221023311123100200
51211031311010230
632152034140000
73123601352415
oct511365332040
9136126383700
1044221969440
1117833170190
1286a1a21600
134229980c2c
1421d71c210c
15123c4a5b60
hexa4bd5b420

44221969440 has 960 divisors, whose sum is σ = 183519883008. Its totient is φ = 9909043200.

The previous prime is 44221969439. The next prime is 44221969447. The reversal of 44221969440 is 4496912244.

It is a super-3 number, since 3×442219694403 (a number of 33 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (44221969447) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 172069792 + ... + 172070048.

Almost surely, 244221969440 is an apocalyptic number.

44221969440 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 44221969440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91759941504).

44221969440 is an abundant number, since it is smaller than the sum of its proper divisors (139297913568).

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

44221969440 is a wasteful number, since it uses less digits than its factorization.

44221969440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 383 (or 366 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The spelling of 44221969440 in words is "forty-four billion, two hundred twenty-one million, nine hundred sixty-nine thousand, four hundred forty".