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14243421414000 = 2435318671271507
BaseRepresentation
bin1100111101000100111000…
…0100101110001001110000
31212102122202112021000102110
43033101032010232021300
53331331011340222000
650143200520445320
73000024155261232
oct317211604561160
955378675230373
1014243421414000
1145a16680768a9
121720579019840
137c41c21083ac
143735572a0252
1519a7863e1850
hexcf44e12e270

14243421414000 has 160 divisors (see below), whose sum is σ = 45945422804736. Its totient is φ = 3796208313600.

The previous prime is 14243421413983. The next prime is 14243421414017. The reversal of 14243421414000 is 41412434241.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (14243421413983) and next prime (14243421414017).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10566247 + ... + 11837753.

Almost surely, 214243421414000 is an apocalyptic number.

14243421414000 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 14243421414000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22972711402368).

14243421414000 is an abundant number, since it is smaller than the sum of its proper divisors (31702001390736).

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

14243421414000 is a wasteful number, since it uses less digits than its factorization.

14243421414000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1273400 (or 1273384 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 30.

Adding to 14243421414000 its reverse (41412434241), we get a palindrome (14284833848241).

The spelling of 14243421414000 in words is "fourteen trillion, two hundred forty-three billion, four hundred twenty-one million, four hundred fourteen thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 125 150 200 240 250 300 375 400 500 600 750 1000 1200 1500 1867 2000 3000 3734 5601 6000 7468 9335 11202 14936 18670 22404 28005 29872 37340 44808 46675 56010 74680 89616 93350 112020 140025 149360 186700 224040 233375 280050 373400 448080 466750 560100 700125 746800 933500 1120200 1271507 1400250 1867000 2240400 2543014 2800500 3734000 3814521 5086028 5601000 6357535 7629042 10172056 11202000 12715070 15258084 19072605 20344112 25430140 30516168 31787675 38145210 50860280 61032336 63575350 76290420 95363025 101720560 127150700 152580840 158938375 190726050 254301400 305161680 317876750 381452100 476815125 508602800 635753500 762904200 953630250 1271507000 1525808400 1907260500 2373903569 2543014000 3814521000 4747807138 7121710707 7629042000 9495614276 11869517845 14243421414 18991228552 23739035690 28486842828 35608553535 37982457104 47478071380 56973685656 59347589225 71217107070 94956142760 113947371312 118695178450 142434214140 178042767675 189912285520 237390356900 284868428280 296737946125 356085535350 474780713800 569736856560 593475892250 712171070700 890213838375 949561427600 1186951784500 1424342141400 1780427676750 2373903569000 2848684282800 3560855353500 4747807138000 7121710707000 14243421414000