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300144543123141 = 32476115774090171
BaseRepresentation
bin100010000111110101101100…
…0110111111100011011000101
31110100201112112021100000221100
41010033223120313330123011
5303320032011014420031
62542204255525010313
7120135504402653253
oct10417533067743305
91410645467300840
10300144543123141
11876a9649928292
12297b6034253999
13cb6268028b852
1454191055975d3
1524a76ad33ade6
hex110fad8dfc6c5

300144543123141 has 48 divisors (see below), whose sum is σ = 452891290745088. Its totient is φ = 191401581571200.

The previous prime is 300144543123071. The next prime is 300144543123149. The reversal of 300144543123141 is 141321345441003.

300144543123141 is a `hidden beast` number, since 3 + 0 + 0 + 1 + 44 + 543 + 1 + 2 + 31 + 41 = 666.

It is not a de Polignac number, because 300144543123141 - 223 = 300144534734533 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 300144543123096 and 300144543123105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (300144543123149) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 32994015 + ... + 41096156.

It is an arithmetic number, because the mean of its divisors is an integer number (9435235223856).

Almost surely, 2300144543123141 is an apocalyptic number.

It is an amenable number.

300144543123141 is a deficient number, since it is larger than the sum of its proper divisors (152746747621947).

300144543123141 is a wasteful number, since it uses less digits than its factorization.

300144543123141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74090442 (or 74090439 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

Adding to 300144543123141 its reverse (141321345441003), we get a palindrome (441465888564144).

The spelling of 300144543123141 in words is "three hundred trillion, one hundred forty-four billion, five hundred forty-three million, one hundred twenty-three thousand, one hundred forty-one".

Divisors: 1 3 9 47 61 141 157 183 423 471 549 1413 2867 7379 8601 9577 22137 25803 28731 66411 86193 450119 1350357 4051071 74090171 222270513 666811539 3482238037 4519500431 10446714111 11632156847 13558501293 31340142333 34896470541 40675503879 104689411623 212416520257 546711371809 637249560771 709561567667 1640134115427 1911748682313 2128684703001 4920402346281 6386054109003 33349393680349 100048181041047 300144543123141