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2134444324144 = 241189136264321
BaseRepresentation
bin11111000011110110110…
…010111011010100110000
321120001101002120011011211
4133003312302323110300
5234432320221333034
64312314501245504
7310131343255456
oct37036662732460
97501332504154
102134444324144
117532381a3480
122a5805103894
1312637b11a9b2
14754442d09d6
153a7c60d2d64
hex1f0f6cbb530

2134444324144 has 40 divisors (see below), whose sum is σ = 4562129500560. Its totient is φ = 959300812800.

The previous prime is 2134444324141. The next prime is 2134444324157. The reversal of 2134444324144 is 4414234444312.

It is a super-4 number, since 4×21344443241444 (a number of 50 digits) contains 4444 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2134444324097 and 2134444324106.

It is not an unprimeable number, because it can be changed into a prime (2134444324141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 68116497 + ... + 68147824.

It is an arithmetic number, because the mean of its divisors is an integer number (114053237514).

Almost surely, 22134444324144 is an apocalyptic number.

It is an amenable number.

2134444324144 is an abundant number, since it is smaller than the sum of its proper divisors (2427685176416).

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

2134444324144 is a wasteful number, since it uses less digits than its factorization.

2134444324144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136264429 (or 136264423 counting only the distinct ones).

The product of its digits is 589824, while the sum is 40.

Adding to 2134444324144 its reverse (4414234444312), we get a palindrome (6548678768456).

The spelling of 2134444324144 in words is "two trillion, one hundred thirty-four billion, four hundred forty-four million, three hundred twenty-four thousand, one hundred forty-four".

Divisors: 1 2 4 8 11 16 22 44 88 89 176 178 356 712 979 1424 1958 3916 7832 15664 136264321 272528642 545057284 1090114568 1498907531 2180229136 2997815062 5995630124 11991260248 12127524569 23982520496 24255049138 48510098276 97020196552 133402770259 194040393104 266805540518 533611081036 1067222162072 2134444324144