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144243452334255 = 35263269317521823
BaseRepresentation
bin100000110011000001001011…
…101111001101000010101111
3200220201112120012110012210220
4200303001023233031002233
5122401241042244144010
61230440305513302423
742245150134013361
oct4063011357150257
9626645505405726
10144243452334255
1141a6233947295a
1214217420404a13
136264139bc8391
1427895c55cad31
1511a2183546970
hex83304bbcd0af

144243452334255 has 128 divisors (see below), whose sum is σ = 233993485946880. Its totient is φ = 75873185157120.

The previous prime is 144243452334203. The next prime is 144243452334301. The reversal of 144243452334255 is 552433254342441.

It is not a de Polignac number, because 144243452334255 - 213 = 144243452326063 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 144243452334198 and 144243452334207.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 175265433774 + ... + 175265434596.

It is an arithmetic number, because the mean of its divisors is an integer number (1828074108960).

Almost surely, 2144243452334255 is an apocalyptic number.

144243452334255 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

144243452334255 is a deficient number, since it is larger than the sum of its proper divisors (89750033612625).

144243452334255 is a wasteful number, since it uses less digits than its factorization.

144243452334255 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2201.

The product of its digits is 27648000, while the sum is 51.

The spelling of 144243452334255 in words is "one hundred forty-four trillion, two hundred forty-three billion, four hundred fifty-two million, three hundred thirty-four thousand, two hundred fifty-five".

Divisors: 1 3 5 15 263 269 317 521 789 807 823 951 1315 1345 1563 1585 2469 2605 3945 4035 4115 4755 7815 12345 70747 83371 85273 137023 140149 165157 212241 216449 221387 250113 255819 260891 353735 411069 416855 420447 426365 428783 495471 649347 664161 685115 700745 782673 825785 1061205 1082245 1106935 1250565 1279095 1286349 1304455 2055345 2102235 2143915 2477355 3246735 3320805 3913365 6431745 22426799 36859187 43436291 44427233 58224781 67280397 68614333 70179679 110577561 112133995 112769929 115342627 130308873 133281699 135924211 174674343 184295935 205842999 210539037 217181455 222136165 291123905 336401985 338309787 343071665 346027881 350898395 407772633 552887805 563849645 576713135 651544365 666408495 679621055 873371715 1029214995 1052695185 1691548935 1730139405 2038863165 11684362279 18457255577 30335110901 35053086837 35748067493 36563612759 55371766731 58421811395 91005332703 92286277885 107244202479 109690838277 151675554505 175265434185 178740337465 182818063795 276858833655 455026663515 536221012395 548454191385 9616230155617 28848690466851 48081150778085 144243452334255