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144242103004542 = 23219544177515261
BaseRepresentation
bin100000110010111111111011…
…010011111010110101111110
3200220201102002011110011102100
4200302333323103322311332
5122401230311332121132
61230435523552405530
742245101530626454
oct4062777323726576
9626642064404370
10144242103004542
1141a61806842534
12142171045468a6
136263c834ab12a
1427894d83089d4
1511a2104d6037c
hex832ffb4fad7e

144242103004542 has 48 divisors (see below), whose sum is σ = 329033683527120. Its totient is φ = 45541765555200.

The previous prime is 144242103004537. The next prime is 144242103004567. The reversal of 144242103004542 is 245400301242441.

144242103004542 is a `hidden beast` number, since 1 + 4 + 4 + 2 + 4 + 2 + 103 + 0 + 0 + 4 + 542 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 144242103004497 and 144242103004506.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 36896809 + ... + 40618452.

It is an arithmetic number, because the mean of its divisors is an integer number (6854868406815).

Almost surely, 2144242103004542 is an apocalyptic number.

144242103004542 is an abundant number, since it is smaller than the sum of its proper divisors (184791580522578).

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

144242103004542 is a wasteful number, since it uses less digits than its factorization.

144242103004542 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77520729 (or 77520726 counting only the distinct ones).

The product of its (nonzero) digits is 122880, while the sum is 36.

Adding to 144242103004542 its reverse (245400301242441), we get a palindrome (389642404246983).

The spelling of 144242103004542 in words is "one hundred forty-four trillion, two hundred forty-two billion, one hundred three million, four thousand, five hundred forty-two".

Divisors: 1 2 3 6 9 18 19 38 57 114 171 342 5441 10882 16323 32646 48969 97938 103379 206758 310137 620274 930411 1860822 77515261 155030522 232545783 465091566 697637349 1395274698 1472789959 2945579918 4418369877 8836739754 13255109631 26510219262 421760535101 843521070202 1265281605303 2530563210606 3795844815909 7591689631818 8013450166919 16026900333838 24040350500757 48080701001514 72121051502271 144242103004542