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14067143000 = 2353173492371
BaseRepresentation
bin11010001100111011…
…11001000101011000
31100022100210220110022
431012131321011120
5212302142034000
610243511410012
71005411512501
oct150635710530
940270726408
1014067143000
115a69598819
122887083908
1314324ba171
14976393ba8
15574e97585
hex346779158

14067143000 has 128 divisors (see below), whose sum is σ = 34968024000. Its totient is φ = 5278464000.

The previous prime is 14067142931. The next prime is 14067143059. The reversal of 14067143000 is 34176041.

14067143000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5931815 + ... + 5934185.

Almost surely, 214067143000 is an apocalyptic number.

14067143000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14067143000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17484012000).

14067143000 is an abundant number, since it is smaller than the sum of its proper divisors (20900881000).

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

14067143000 is a wasteful number, since it uses less digits than its factorization.

14067143000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2758 (or 2744 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 26.

The spelling of 14067143000 in words is "fourteen billion, sixty-seven million, one hundred forty-three thousand".

Divisors: 1 2 4 5 8 10 17 20 25 34 40 50 68 85 100 125 136 170 200 250 340 349 425 500 680 698 850 1000 1396 1700 1745 2125 2371 2792 3400 3490 4250 4742 5933 6980 8500 8725 9484 11855 11866 13960 17000 17450 18968 23710 23732 29665 34900 40307 43625 47420 47464 59275 59330 69800 80614 87250 94840 118550 118660 148325 161228 174500 201535 237100 237320 296375 296650 322456 349000 403070 474200 592750 593300 741625 806140 827479 1007675 1185500 1186600 1483250 1612280 1654958 2015350 2371000 2966500 3309916 4030700 4137395 5038375 5933000 6619832 8061400 8274790 10076750 14067143 16549580 20153500 20686975 28134286 33099160 40307000 41373950 56268572 70335715 82747900 103434875 112537144 140671430 165495800 206869750 281342860 351678575 413739500 562685720 703357150 827479000 1406714300 1758392875 2813428600 3516785750 7033571500 14067143000