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144303135114000 = 24353179134360461
BaseRepresentation
bin100000110011111000110001…
…000110111100001100010000
3200220221020121121010120011210
4200303320301012330030100
5122403230310042122000
61230523540050340120
742252362132200602
oct4063706106741420
9626836547116153
10144303135114000
1141a85685884715
1214226ab7b8a640
13626995ba08675
14278c447ca7172
1511a39c7ed8350
hex833e311bc310

144303135114000 has 160 divisors (see below), whose sum is σ = 467832379847040. Its totient is φ = 38265859008000.

The previous prime is 144303135113989. The next prime is 144303135114001. The reversal of 144303135114000 is 411531303441.

144303135114000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (144303135114001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 66106231 + ... + 68254230.

It is an arithmetic number, because the mean of its divisors is an integer number (2923952374044).

Almost surely, 2144303135114000 is an apocalyptic number.

144303135114000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

144303135114000 is an abundant number, since it is smaller than the sum of its proper divisors (323529244733040).

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

144303135114000 is a wasteful number, since it uses less digits than its factorization.

144303135114000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134360666 (or 134360650 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

Adding to 144303135114000 its reverse (411531303441), we get a palindrome (144714666417441).

The spelling of 144303135114000 in words is "one hundred forty-four trillion, three hundred three billion, one hundred thirty-five million, one hundred fourteen thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 125 150 179 200 240 250 300 358 375 400 500 537 600 716 750 895 1000 1074 1200 1432 1500 1790 2000 2148 2685 2864 3000 3580 4296 4475 5370 6000 7160 8592 8950 10740 13425 14320 17900 21480 22375 26850 35800 42960 44750 53700 67125 71600 89500 107400 134250 179000 214800 268500 358000 537000 1074000 134360461 268720922 403081383 537441844 671802305 806162766 1074883688 1343604610 1612325532 2015406915 2149767376 2687209220 3224651064 3359011525 4030813830 5374418440 6449302128 6718023050 8061627660 10077034575 10748836880 13436046100 16123255320 16795057625 20154069150 24050522519 26872092200 32246510640 33590115250 40308138300 48101045038 50385172875 53744184400 67180230500 72151567557 80616276600 96202090076 100770345750 120252612595 134360461000 144303135114 161232553200 192404180152 201540691500 240505225190 268720922000 288606270228 360757837785 384808360304 403081383000 481010450380 577212540456 601263062975 721515675570 806162766000 962020900760 1154425080912 1202526125950 1443031351140 1803789188925 1924041801520 2405052251900 2886062702280 3006315314875 3607578377850 4810104503800 5772125404560 6012630629750 7215156755700 9018945944625 9620209007600 12025261259500 14430313511400 18037891889250 24050522519000 28860627022800 36075783778500 48101045038000 72151567557000 144303135114000