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4442240442200 = 2352115338098117
BaseRepresentation
bin100000010100100101000…
…1010011101111101011000
3120201200012101002212100012
41000221022022131331120
51040240202023122300
613240423113301052
7635640600513311
oct100511212357530
916650171085305
104442240442200
111462a41a14430
125b8b29404788
13262b9470a872
14115011477608
157a845de5435
hex40a4a29df58

4442240442200 has 96 divisors (see below), whose sum is σ = 11479724915760. Its totient is φ = 1584881625600.

The previous prime is 4442240442197. The next prime is 4442240442217. The reversal of 4442240442200 is 22440422444.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18932459 + ... + 19165658.

Almost surely, 24442240442200 is an apocalyptic number.

4442240442200 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4442240442200 is an abundant number, since it is smaller than the sum of its proper divisors (7037484473560).

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

4442240442200 is a wasteful number, since it uses less digits than its factorization.

4442240442200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38098197 (or 38098188 counting only the distinct ones).

The product of its (nonzero) digits is 65536, while the sum is 32.

Adding to 4442240442200 its reverse (22440422444), we get a palindrome (4464680864644).

The spelling of 4442240442200 in words is "four trillion, four hundred forty-two billion, two hundred forty million, four hundred forty-two thousand, two hundred".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 53 55 88 100 106 110 200 212 220 265 275 424 440 530 550 583 1060 1100 1166 1325 2120 2200 2332 2650 2915 4664 5300 5830 10600 11660 14575 23320 29150 58300 116600 38098117 76196234 152392468 190490585 304784936 380981170 419079287 761962340 838158574 952452925 1523924680 1676317148 1904905850 2019200201 2095396435 3352634296 3809811700 4038400402 4190792870 7619623400 8076800804 8381585740 10096001005 10476982175 16153601608 16763171480 20192002010 20953964350 22211202211 40384004020 41907928700 44422404422 50480005025 80768008040 83815857400 88844808844 100960010050 111056011055 177689617688 201920020100 222112022110 403840040200 444224044220 555280055275 888448088440 1110560110550 2221120221100 4442240442200