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12144004224 = 273112875001
BaseRepresentation
bin10110100111101011…
…01100110010000000
31011100100002100000020
423103311230302000
5144332331113344
65325012053440
7606640222062
oct132365546200
934310070006
1012144004224
115171a79130
12242b004280
1311b6c44621
14832bc5732
154b1218719
hex2d3d6cc80

12144004224 has 64 divisors (see below), whose sum is σ = 35190024480. Its totient is φ = 3680000000.

The previous prime is 12144004211. The next prime is 12144004231. The reversal of 12144004224 is 42240044121.

It is a tau number, because it is divible by the number of its divisors (64).

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

It is a junction number, because it is equal to n+sod(n) for n = 12144004194 and 12144004203.

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, 1433277 + ... + 1441724.

Almost surely, 212144004224 is an apocalyptic number.

It is an amenable number.

12144004224 is an abundant number, since it is smaller than the sum of its proper divisors (23046020256).

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

12144004224 is a wasteful number, since it uses less digits than its factorization.

12144004224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2875029 (or 2875017 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 24.

Adding to 12144004224 its reverse (42240044121), we get a palindrome (54384048345).

The spelling of 12144004224 in words is "twelve billion, one hundred forty-four million, four thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 128 132 176 192 264 352 384 528 704 1056 1408 2112 4224 2875001 5750002 8625003 11500004 17250006 23000008 31625011 34500012 46000016 63250022 69000024 92000032 94875033 126500044 138000048 184000064 189750066 253000088 276000096 368000128 379500132 506000176 552000192 759000264 1012000352 1104000384 1518000528 2024000704 3036001056 4048001408 6072002112 12144004224