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13520144000 = 27531176819
BaseRepresentation
bin11001001011101110…
…10000011010000000
31021220020112110220002
430211313100122000
5210142124102000
610113331335132
7656020220306
oct144567203200
937806473802
1013520144000
115808850330
122753a514a8
13137608a90c
14923886276
15541e488d5
hex325dd0680

13520144000 has 128 divisors (see below), whose sum is σ = 36670795200. Its totient is φ = 4916352000.

The previous prime is 13520143963. The next prime is 13520144039. The reversal of 13520144000 is 44102531.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 137591 + ... + 214409.

Almost surely, 213520144000 is an apocalyptic number.

13520144000 is a gapful number since it is divisible by the number (10) 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 13520144000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18335397600).

13520144000 is an abundant number, since it is smaller than the sum of its proper divisors (23150651200).

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

13520144000 is an equidigital number, since it uses as much as digits as its factorization.

13520144000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76859 (or 76837 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

Adding to 13520144000 its reverse (44102531), we get a palindrome (13564246531).

The spelling of 13520144000 in words is "thirteen billion, five hundred twenty million, one hundred forty-four thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 32 40 44 50 55 64 80 88 100 110 125 128 160 176 200 220 250 275 320 352 400 440 500 550 640 704 800 880 1000 1100 1375 1408 1600 1760 2000 2200 2750 3200 3520 4000 4400 5500 7040 8000 8800 11000 16000 17600 22000 35200 44000 76819 88000 153638 176000 307276 384095 614552 768190 845009 1229104 1536380 1690018 1920475 2458208 3072760 3380036 3840950 4225045 4916416 6145520 6760072 7681900 8450090 9602375 9832832 12291040 13520144 15363800 16900180 19204750 21125225 24582080 27040288 30727600 33800360 38409500 42250450 49164160 54080576 61455200 67600720 76819000 84500900 105626125 108161152 122910400 135201440 153638000 169001800 211252250 245820800 270402880 307276000 338003600 422504500 540805760 614552000 676007200 845009000 1229104000 1352014400 1690018000 2704028800 3380036000 6760072000 13520144000