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13445544200 = 23521121015501
BaseRepresentation
bin11001000010110101…
…01011100100001000
31021201001011102012112
430201122223210020
5210014024403300
610102104401452
7654123145214
oct144132534410
937631142175
1013445544200
11577a728400
122732a76288
13136379b51a
149179c7944
1553a60ee35
hex3216ab908

13445544200 has 144 divisors (see below), whose sum is σ = 34707661380. Its totient is φ = 4840000000.

The previous prime is 13445544193. The next prime is 13445544289. The reversal of 13445544200 is 244554431.

It can be written as a sum of positive squares in 6 ways, for example, as 12201853444 + 1243690756 = 110462^2 + 35266^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2441450 + ... + 2446950.

Almost surely, 213445544200 is an apocalyptic number.

13445544200 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 13445544200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17353830690).

13445544200 is an abundant number, since it is smaller than the sum of its proper divisors (21262117180).

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

13445544200 is a wasteful number, since it uses less digits than its factorization.

13445544200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5640 (or 5620 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 32.

The spelling of 13445544200 in words is "thirteen billion, four hundred forty-five million, five hundred forty-four thousand, two hundred".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 101 110 121 200 202 220 242 275 404 440 484 505 550 605 808 968 1010 1100 1111 1210 2020 2200 2222 2420 2525 3025 4040 4444 4840 5050 5501 5555 6050 8888 10100 11002 11110 12100 12221 20200 22004 22220 24200 24442 27505 27775 44008 44440 48884 55010 55550 60511 61105 97768 110020 111100 121022 122210 137525 220040 222200 242044 244420 275050 302555 305525 484088 488840 550100 555601 605110 611050 665621 1100200 1111202 1210220 1222100 1331242 1512775 2222404 2420440 2444200 2662484 2778005 3025550 3328105 4444808 5324968 5556010 6051100 6111611 6656210 11112020 12102200 12223222 13312420 13890025 16640525 22224040 24446444 26624840 27780050 30558055 33281050 48892888 55560100 61116110 66562100 67227721 111120200 122232220 133124200 134455442 152790275 244464440 268910884 305580550 336138605 537821768 611161100 672277210 1222322200 1344554420 1680693025 2689108840 3361386050 6722772100 13445544200