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542144351221133 = 41274131091551677
BaseRepresentation
bin111101101000100111101000…
…1011110001011010110001101
32122002120111022222122022201112
41323101033101132023112031
51032024443112403034013
65201013402054421405
7222123431264613623
oct17321172136132615
92562514288568645
10542144351221133
11147820145654691
125097b25a361865
131a367cba69915b
1497c3cd8871513
1542a2643319ba8
hex1ed13d178b58d

542144351221133 has 16 divisors (see below), whose sum is σ = 555749054547120. Its totient is φ = 528557947276800.

The previous prime is 542144351221129. The next prime is 542144351221153. The reversal of 542144351221133 is 331122153441245.

It can be written as a sum of positive squares in 8 ways, for example, as 150971032498729 + 391173318722404 = 12287027^2 + 19778102^2 .

It is a cyclic number.

It is not a de Polignac number, because 542144351221133 - 22 = 542144351221129 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (41).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (542144351221153) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 348616691 + ... + 350168367.

It is an arithmetic number, because the mean of its divisors is an integer number (34734315909195).

Almost surely, 2542144351221133 is an apocalyptic number.

It is an amenable number.

542144351221133 is a deficient number, since it is larger than the sum of its proper divisors (13604703325987).

542144351221133 is a wasteful number, since it uses less digits than its factorization.

542144351221133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1557568.

The product of its digits is 345600, while the sum is 41.

The spelling of 542144351221133 in words is "five hundred forty-two trillion, one hundred forty-four billion, three hundred fifty-one million, two hundred twenty-one thousand, one hundred thirty-three".

Divisors: 1 41 2741 3109 112381 127469 1551677 8521769 63618757 349392529 4253146657 4824163793 174379012937 197790715513 13223032956613 542144351221133