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14065434143000 = 235317946387433
BaseRepresentation
bin1100110010101101110100…
…1101001010100100011000
31211210122100021210211022022
43030223131031022210120
53320422002120034000
645525323215514012
72651123366366552
oct314533515124430
954718307724268
1014065434143000
114533131985819
1216b1b85528908
137b0498476c66
14368ab09144d2
15195d1a762585
hexccadd34a918

14065434143000 has 128 divisors (see below), whose sum is σ = 34853262837120. Its totient is φ = 5294602137600.

The previous prime is 14065434142979. The next prime is 14065434143009. The reversal of 14065434143000 is 34143456041.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14065434143009) 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, 160827284 + ... + 160914716.

It is an arithmetic number, because the mean of its divisors is an integer number (272291115915).

Almost surely, 214065434143000 is an apocalyptic number.

14065434143000 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 14065434143000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17426631418560).

14065434143000 is an abundant number, since it is smaller than the sum of its proper divisors (20787828694120).

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

14065434143000 is a wasteful number, since it uses less digits than its factorization.

14065434143000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96934 (or 96920 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 35.

Adding to 14065434143000 its reverse (34143456041), we get a palindrome (14099577599041).

The spelling of 14065434143000 in words is "fourteen trillion, sixty-five billion, four hundred thirty-four million, one hundred forty-three thousand".

Divisors: 1 2 4 5 8 10 17 20 25 34 40 50 68 85 100 125 136 170 200 250 340 425 500 680 850 1000 1700 2125 3400 4250 8500 9463 17000 18926 37852 47315 75704 87433 94630 160871 174866 189260 236575 321742 349732 378520 437165 473150 643484 699464 804355 874330 946300 1182875 1286968 1486361 1608710 1748660 1892600 2185825 2365750 2972722 3217420 3497320 4021775 4371650 4731500 5945444 6434840 7431805 8043550 8743300 9463000 10929125 11890888 14863610 16087100 17486600 20108875 21858250 29727220 32174200 37159025 40217750 43716500 59454440 74318050 80435500 87433000 148636100 160871000 185795125 297272200 371590250 743180500 827378479 1486361000 1654756958 3309513916 4136892395 6619027832 8273784790 14065434143 16547569580 20684461975 28130868286 33095139160 41368923950 56261736572 70327170715 82737847900 103422309875 112523473144 140654341430 165475695800 206844619750 281308682860 351635853575 413689239500 562617365720 703271707150 827378479000 1406543414300 1758179267875 2813086828600 3516358535750 7032717071500 14065434143000