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144110201212134 = 232109347211673381
BaseRepresentation
bin100000110001000101000101…
…010110100000110011100110
3200220020210121200221212001200
4200301011011112200303212
5122342100143002242014
61230255151255303330
742232422062116023
oct4061050526406346
9626223550855050
10144110201212134
1141a1087a703643
12141b563297ab46
1362546c25c5c61
142782d8442a54a
15119d985087a09
hex8311455a0ce6

144110201212134 has 48 divisors (see below), whose sum is σ = 316011425455440. Its totient is φ = 47458865183040.

The previous prime is 144110201212097. The next prime is 144110201212169. The reversal of 144110201212134 is 431212102011441.

144110201212134 is a `hidden beast` number, since 1 + 4 + 4 + 110 + 201 + 212 + 134 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 144110201212098 and 144110201212107.

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 23 ways as a sum of consecutive naturals, for example, 105155877 + ... + 106517504.

It is an arithmetic number, because the mean of its divisors is an integer number (6583571363655).

Almost surely, 2144110201212134 is an apocalyptic number.

144110201212134 is an abundant number, since it is smaller than the sum of its proper divisors (171901224243306).

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

144110201212134 is a wasteful number, since it uses less digits than its factorization.

144110201212134 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 211673845 (or 211673842 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

Adding to 144110201212134 its reverse (431212102011441), we get a palindrome (575322303223575).

The spelling of 144110201212134 in words is "one hundred forty-four trillion, one hundred ten billion, two hundred one million, two hundred twelve thousand, one hundred thirty-four".

Divisors: 1 2 3 6 9 18 109 218 327 347 654 694 981 1041 1962 2082 3123 6246 37823 75646 113469 226938 340407 680814 211673381 423346762 635020143 1270040286 1905060429 3810120858 23072398529 46144797058 69217195587 73450663207 138434391174 146901326414 207651586761 220351989621 415303173522 440703979242 661055968863 1322111937726 8006122289563 16012244579126 24018366868689 48036733737378 72055100606067 144110201212134