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13322012214144 = 27389389806069
BaseRepresentation
bin1100000111011100010111…
…0011100100001110000000
31202011120102221021220011010
43001313011303210032000
53221231440111323034
644200014203520520
72543324611303344
oct301670563441600
952146387256133
1013322012214144
114276919655307
1215b1a8ab29140
137583500245ba
14340b087a7624
151818095883e9
hexc1dc5ce4380

13322012214144 has 64 divisors (see below), whose sum is σ = 35784197226000. Its totient is φ = 4390775549952.

The previous prime is 13322012214089. The next prime is 13322012214163. The reversal of 13322012214144 is 44141221022331.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 194868859 + ... + 194937210.

Almost surely, 213322012214144 is an apocalyptic number.

It is an amenable number.

13322012214144 is an abundant number, since it is smaller than the sum of its proper divisors (22462185011856).

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

13322012214144 is an equidigital number, since it uses as much as digits as its factorization.

13322012214144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 389806175 (or 389806163 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

Adding to 13322012214144 its reverse (44141221022331), we get a palindrome (57463233236475).

The spelling of 13322012214144 in words is "thirteen trillion, three hundred twenty-two billion, twelve million, two hundred fourteen thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 89 96 128 178 192 267 356 384 534 712 1068 1424 2136 2848 4272 5696 8544 11392 17088 34176 389806069 779612138 1169418207 1559224276 2338836414 3118448552 4677672828 6236897104 9355345656 12473794208 18710691312 24947588416 34692740141 37421382624 49895176832 69385480282 74842765248 104078220423 138770960564 149685530496 208156440846 277541921128 416312881692 555083842256 832625763384 1110167684512 1665251526768 2220335369024 3330503053536 4440670738048 6661006107072 13322012214144