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144300442403205 = 32511437392869081
BaseRepresentation
bin100000110011110110010000…
…100111000100000110000101
3200220220222122221022200101100
4200303312100213010012011
5122403204301223400310
61230522412540250313
742252235324424034
oct4063662047040605
9626828587280340
10144300442403205
1141a845239171a0
1214226486240999
13626961cba497a
14278c27041071b
1511a38bb8e2ec0
hex833d909c4185

144300442403205 has 96 divisors (see below), whose sum is σ = 283029300208512. Its totient is φ = 67400663500800.

The previous prime is 144300442403179. The next prime is 144300442403213. The reversal of 144300442403205 is 502304244003441.

144300442403205 is a `hidden beast` number, since 1 + 4 + 4 + 3 + 0 + 0 + 4 + 42 + 403 + 205 = 666.

It is not a de Polignac number, because 144300442403205 - 215 = 144300442370437 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 144300442403205.

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 95 ways as a sum of consecutive naturals, for example, 44880736 + ... + 47988345.

It is an arithmetic number, because the mean of its divisors is an integer number (2948221877172).

Almost surely, 2144300442403205 is an apocalyptic number.

144300442403205 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

144300442403205 is a deficient number, since it is larger than the sum of its proper divisors (138728857805307).

144300442403205 is a wasteful number, since it uses less digits than its factorization.

144300442403205 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92869219 (or 92869216 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 36.

Adding to 144300442403205 its reverse (502304244003441), we get a palindrome (646604686406646).

The spelling of 144300442403205 in words is "one hundred forty-four trillion, three hundred billion, four hundred forty-two million, four hundred three thousand, two hundred five".

Divisors: 1 3 5 9 11 15 33 43 45 55 73 99 129 165 215 219 365 387 473 495 645 657 803 1095 1419 1935 2365 2409 3139 3285 4015 4257 7095 7227 9417 12045 15695 21285 28251 34529 36135 47085 103587 141255 172645 310761 517935 1553805 92869081 278607243 464345405 835821729 1021559891 1393036215 3064679673 3993370483 4179108645 5107799455 6779442913 9194039019 11980111449 15323398365 19966852415 20338328739 33897214565 35940334347 43927075313 45970195095 59900557245 61014986217 74573872043 101691643695 131781225939 179701671735 219635376565 223721616129 291516045259 305074931085 372869360215 395343677817 658906129695 671164848387 874548135777 1118608080645 1457580226295 1976718389085 2623644407331 3206676497849 3355824241935 4372740678885 9620029493547 13118222036655 16033382489245 28860088480641 48100147467735 144300442403205