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144064555422660 = 223256619671252151
BaseRepresentation
bin100000110000011010100100…
…101001101001001111000100
3200220002102210120100111101100
4200300122210221221033010
5122340323202142011120
61230222202035500100
742226214661241425
oct4060324451511704
9626072716314340
10144064555422660
11419a3486865394
12141a8814157630
1362502c9976482
142780a940d564c
15119c6b2ad4490
hex8306a4a693c4

144064555422660 has 144 divisors (see below), whose sum is σ = 438109873673472. Its totient is φ = 38319396192000.

The previous prime is 144064555422511. The next prime is 144064555422677. The reversal of 144064555422660 is 66224555460441.

144064555422660 is a `hidden beast` number, since 1 + 4 + 4 + 0 + 6 + 4 + 5 + 554 + 2 + 26 + 60 = 666.

It is a super-2 number, since 2×1440645554226602 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 144064555422597 and 144064555422606.

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 47 ways as a sum of consecutive naturals, for example, 114427585 + ... + 115679735.

It is an arithmetic number, because the mean of its divisors is an integer number (3042429678288).

Almost surely, 2144064555422660 is an apocalyptic number.

144064555422660 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

144064555422660 is an abundant number, since it is smaller than the sum of its proper divisors (294045318250812).

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

144064555422660 is a wasteful number, since it uses less digits than its factorization.

144064555422660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1253794 (or 1253789 counting only the distinct ones).

The product of its (nonzero) digits is 27648000, while the sum is 54.

The spelling of 144064555422660 in words is "one hundred forty-four trillion, sixty-four billion, five hundred fifty-five million, four hundred twenty-two thousand, six hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 661 967 1322 1934 1983 2644 2901 3305 3868 3966 4835 5802 5949 6610 7932 8703 9670 9915 11604 11898 13220 14505 17406 19340 19830 23796 29010 29745 34812 39660 43515 58020 59490 87030 118980 174060 639187 1252151 1278374 1917561 2504302 2556748 3195935 3756453 3835122 5008604 5752683 6260755 6391870 7512906 7670244 9587805 11269359 11505366 12521510 12783740 15025812 18782265 19175610 22538718 23010732 25043020 28763415 37564530 38351220 45077436 56346795 57526830 75129060 112693590 115053660 225387180 827671811 1210830017 1655343622 2421660034 2483015433 3310687244 3632490051 4138359055 4843320068 4966030866 6054150085 7264980102 7449046299 8276718110 9932061732 10897470153 12108300170 12415077165 14529960204 14898092598 16553436220 18162450255 21794940306 24216600340 24830154330 29796185196 36324900510 37245231495 43589880612 49660308660 54487350765 72649801020 74490462990 108974701530 148980925980 217949403060 800358641237 1600717282474 2401075923711 3201434564948 4001793206185 4802151847422 7203227771133 8003586412370 9604303694844 12005379618555 14406455542266 16007172824740 24010759237110 28812911084532 36016138855665 48021518474220 72032277711330 144064555422660