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4132130042544 = 2437591312117541
BaseRepresentation
bin111100001000010110001…
…001001011001010110000
3112122000202020200022121120
4330020112021023022300
51020200100242330134
612442135131222240
7604352014561050
oct74102611131260
915560666608546
104132130042544
111353476759239
12568a01ba7980
1323c87307956a
14103dd3675560
1572745d1c649
hex3c21624b2b0

4132130042544 has 320 divisors, whose sum is σ = 12562013122560. Its totient is φ = 1146128256000.

The previous prime is 4132130042519. The next prime is 4132130042587. The reversal of 4132130042544 is 4452400312314.

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 63 ways as a sum of consecutive naturals, for example, 547951414 + ... + 547958954.

It is an arithmetic number, because the mean of its divisors is an integer number (39256291008).

Almost surely, 24132130042544 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4132130042544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6281006561280).

4132130042544 is an abundant number, since it is smaller than the sum of its proper divisors (8429883080016).

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

4132130042544 is a wasteful number, since it uses less digits than its factorization.

4132130042544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7960 (or 7954 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 33.

Adding to 4132130042544 its reverse (4452400312314), we get a palindrome (8584530354858).

The spelling of 4132130042544 in words is "four trillion, one hundred thirty-two billion, one hundred thirty million, forty-two thousand, five hundred forty-four".