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14604263242000 = 245364113738297
BaseRepresentation
bin1101010010000101000111…
…1011000011100100010000
31220201011011012211010211121
43110201101323003210100
53403234012342221000
651021034513252024
73035060154225415
oct324412173034420
956634135733747
1014604263242000
1147206a695aa83
12177a4a2264014
1381c239c00953
14386bc89cc10c
151a4d5518db1a
hexd4851ec3910

14604263242000 has 160 divisors (see below), whose sum is σ = 35398224841824. Its totient is φ = 5827641344000.

The previous prime is 14604263241983. The next prime is 14604263242007. The reversal of 14604263242000 is 24236240641.

It can be written as a sum of positive squares in 16 ways, for example, as 85816187136 + 14518447054864 = 292944^2 + 3810308^2 .

It is not an unprimeable number, because it can be changed into a prime (14604263242007) 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, 1760181852 + ... + 1760190148.

Almost surely, 214604263242000 is an apocalyptic number.

14604263242000 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 14604263242000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17699112420912).

14604263242000 is an abundant number, since it is smaller than the sum of its proper divisors (20793961599824).

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

14604263242000 is a wasteful number, since it uses less digits than its factorization.

14604263242000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10334 (or 10318 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 34.

Adding to 14604263242000 its reverse (24236240641), we get a palindrome (14628499482641).

The spelling of 14604263242000 in words is "fourteen trillion, six hundred four billion, two hundred sixty-three million, two hundred forty-two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 641 1000 1282 1373 2000 2564 2746 3205 5128 5492 6410 6865 8297 10256 10984 12820 13730 16025 16594 21968 25640 27460 32050 33188 34325 41485 51280 54920 64100 66376 68650 80125 82970 109840 128200 132752 137300 160250 165940 171625 207425 256400 274600 320500 331880 343250 414850 549200 641000 663760 686500 829700 880093 1037125 1282000 1373000 1659400 1760186 2074250 2746000 3318800 3520372 4148500 4400465 5318377 7040744 8297000 8800930 10636754 11391781 14081488 16594000 17601860 21273508 22002325 22783562 26591885 35203720 42547016 44004650 45567124 53183770 56958905 70407440 85094032 88009300 91134248 106367540 110011625 113917810 132959425 176018600 182268496 212735080 220023250 227835620 265918850 284794525 352037200 425470160 440046500 455671240 531837700 569589050 664797125 880093000 911342480 1063675400 1139178100 1329594250 1423972625 1760186000 2127350800 2278356200 2659188500 2847945250 4556712400 5318377000 5695890500 7302131621 10636754000 11391781000 14604263242 22783562000 29208526484 36510658105 58417052968 73021316210 116834105936 146042632420 182553290525 292085264840 365106581050 584170529680 730213162100 912766452625 1460426324200 1825532905250 2920852648400 3651065810500 7302131621000 14604263242000