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143313344434000 = 2453135512051709
BaseRepresentation
bin100000100101011110111100…
…111111001000111101010000
3200210102121210101100022212201
4200211132330333020331100
5122241021212133342000
61224445124101132544
742121022163216106
oct4045367477107520
9623377711308781
10143313344434000
1141733936841a74
12140a71050ba154
1361c750c8c87a0
14275658d70dc76
151187d97bca96a
hex8257bcfc8f50

143313344434000 has 80 divisors (see below), whose sum is σ = 373187948973840. Its totient is φ = 52915696396800.

The previous prime is 143313344433967. The next prime is 143313344434009. The reversal of 143313344434000 is 434443313341.

143313344434000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 54881664302656 + 88431680131344 = 7408216^2 + 9403812^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (143313344434009) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2755999855 + ... + 2756051854.

It is an arithmetic number, because the mean of its divisors is an integer number (4664849362173).

Almost surely, 2143313344434000 is an apocalyptic number.

143313344434000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

143313344434000 is an abundant number, since it is smaller than the sum of its proper divisors (229874604539840).

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

143313344434000 is a wasteful number, since it uses less digits than its factorization.

143313344434000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5512051745 (or 5512051729 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 37.

Adding to 143313344434000 its reverse (434443313341), we get a palindrome (143747787747341).

The spelling of 143313344434000 in words is "one hundred forty-three trillion, three hundred thirteen billion, three hundred forty-four million, four hundred thirty-four thousand".

Divisors: 1 2 4 5 8 10 13 16 20 25 26 40 50 52 65 80 100 104 125 130 200 208 250 260 325 400 500 520 650 1000 1040 1300 1625 2000 2600 3250 5200 6500 13000 26000 5512051709 11024103418 22048206836 27560258545 44096413672 55120517090 71656672217 88192827344 110241034180 137801292725 143313344434 220482068360 275602585450 286626688868 358283361085 440964136720 551205170900 573253377736 689006463625 716566722170 1102410341800 1146506755472 1378012927250 1433133444340 1791416805425 2204820683600 2756025854500 2866266888680 3582833610850 5512051709000 5732533777360 7165667221700 8957084027125 11024103418000 14331334443400 17914168054250 28662668886800 35828336108500 71656672217000 143313344434000