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44801968240 = 2451259444817
BaseRepresentation
bin101001101110011001…
…111100100001110000
311021122022210210120001
4221232121330201300
51213223300440430
632325353355344
73144143306131
oct515631744160
9137568723501
1044801968240
11180005a7937
128824108b54
1342bcb959a3
14225023dc88
1512733723ca
hexa6e67c870

44801968240 has 40 divisors (see below), whose sum is σ = 104247546480. Its totient is φ = 17906512896.

The previous prime is 44801968229. The next prime is 44801968243. The reversal of 44801968240 is 4286910844.

44801968240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (44801968243) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 121689 + ... + 323128.

It is an arithmetic number, because the mean of its divisors is an integer number (2606188662).

Almost surely, 244801968240 is an apocalyptic number.

44801968240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

44801968240 is an abundant number, since it is smaller than the sum of its proper divisors (59445578240).

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

44801968240 is a wasteful number, since it uses less digits than its factorization.

44801968240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 446089 (or 446083 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 46.

The spelling of 44801968240 in words is "forty-four billion, eight hundred one million, nine hundred sixty-eight thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 1259 2518 5036 6295 10072 12590 20144 25180 50360 100720 444817 889634 1779268 2224085 3558536 4448170 7117072 8896340 17792680 35585360 560024603 1120049206 2240098412 2800123015 4480196824 5600246030 8960393648 11200492060 22400984120 44801968240