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1144213201200 = 24352953511001
BaseRepresentation
bin10000101001101000011…
…010111110000100110000
311001101102012000002202010
4100221220122332010300
5122221322034414300
62233351055522520
7145444445510526
oct20515032760460
94041365002663
101144213201200
114012925824a3
1216590a829440
1383b8b9a91a4
143d547446316
151eb6c2c3a50
hex10a686be130

1144213201200 has 60 divisors (see below), whose sum is σ = 3665296291688. Its totient is φ = 305123520000.

The previous prime is 1144213201199. The next prime is 1144213201267. The reversal of 1144213201200 is 21023124411.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 476754301 + ... + 476756700.

Almost surely, 21144213201200 is an apocalyptic number.

1144213201200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1144213201200 is an abundant number, since it is smaller than the sum of its proper divisors (2521083090488).

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

1144213201200 is a wasteful number, since it uses less digits than its factorization.

1144213201200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 953511022 (or 953511011 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

Adding to 1144213201200 its reverse (21023124411), we get a palindrome (1165236325611).

The spelling of 1144213201200 in words is "one trillion, one hundred forty-four billion, two hundred thirteen million, two hundred one thousand, two 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 953511001 1907022002 2860533003 3814044004 4767555005 5721066006 7628088008 9535110010 11442132012 14302665015 15256176016 19070220020 22884264024 23837775025 28605330030 38140440040 45768528048 47675550050 57210660060 71513325075 76280880080 95351100100 114421320120 143026650150 190702200200 228842640240 286053300300 381404400400 572106600600 1144213201200