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13322004140400 = 2435211101670117
BaseRepresentation
bin1100000111011100010101…
…0100110001000101110000
31202011120102101002201001120
43001313011110301011300
53221231431024443100
644200013314502240
72543324452545624
oct301670524610560
952146371081046
1013322004140400
11427691504039a
1215b1a88294980
1375834b458737
14340b076a5184
151818089e10a0
hexc1dc5531170

13322004140400 has 60 divisors (see below), whose sum is σ = 42674819933592. Its totient is φ = 3552534437120.

The previous prime is 13322004140399. The next prime is 13322004140479. The reversal of 13322004140400 is 404140022331.

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (24).

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 11 ways as a sum of consecutive naturals, for example, 5550833859 + ... + 5550836258.

Almost surely, 213322004140400 is an apocalyptic number.

13322004140400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13322004140400 is an abundant number, since it is smaller than the sum of its proper divisors (29352815793192).

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

13322004140400 is a wasteful number, since it uses less digits than its factorization.

13322004140400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11101670138 (or 11101670127 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 13322004140400 its reverse (404140022331), we get a palindrome (13726144162731).

The spelling of 13322004140400 in words is "thirteen trillion, three hundred twenty-two billion, four million, one hundred forty thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 150 200 240 300 400 600 1200 11101670117 22203340234 33305010351 44406680468 55508350585 66610020702 88813360936 111016701170 133220041404 166525051755 177626721872 222033402340 266440082808 277541752925 333050103510 444066804680 532880165616 555083505850 666100207020 832625258775 888133609360 1110167011700 1332200414040 1665250517550 2220334023400 2664400828080 3330501035100 4440668046800 6661002070200 13322004140400