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13200144144 = 2431125000273
BaseRepresentation
bin11000100101100101…
…00011011100010000
31021001221101210121120
430102302203130100
5204013214103034
610021500522240
7645053242155
oct142262433420
937057353546
1013200144144
115664156740
122684850380
1313249a97a5
148d318822c
15523cd8c49
hex312ca3710

13200144144 has 40 divisors (see below), whose sum is σ = 37200407712. Its totient is φ = 4000043520.

The previous prime is 13200144121. The next prime is 13200144239. The reversal of 13200144144 is 44144100231.

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

13200144144 is a modest number, since divided by 144144 gives 13200 as remainder.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12499609 + ... + 12500664.

Almost surely, 213200144144 is an apocalyptic number.

It is an amenable number.

13200144144 is an abundant number, since it is smaller than the sum of its proper divisors (24000263568).

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

13200144144 is a wasteful number, since it uses less digits than its factorization.

13200144144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25000295 (or 25000289 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 13200144144 its reverse (44144100231), we get a palindrome (57344244375).

The spelling of 13200144144 in words is "thirteen billion, two hundred million, one hundred forty-four thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 132 176 264 528 25000273 50000546 75000819 100001092 150001638 200002184 275003003 300003276 400004368 550006006 600006552 825009009 1100012012 1200013104 1650018018 2200024024 3300036036 4400048048 6600072072 13200144144