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14424030231424 = 271197691152839
BaseRepresentation
bin1101000111100101101100…
…1100101011101110000000
31220001220221110121120011121
43101321123030223232000
53342310403214401144
650402150310322024
73016046626013242
oct321713314535600
956056843546147
1014424030231424
114661219039580
12174b582659314
13808245c14a28
1437c1abc9a092
151a03072aa384
hexd1e5b32bb80

14424030231424 has 128 divisors (see below), whose sum is σ = 31716892166400. Its totient is φ = 6479353036800.

The previous prime is 14424030231371. The next prime is 14424030231497. The reversal of 14424030231424 is 42413203042441.

14424030231424 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (128).

It is a self number, because there is not a number n which added to its sum of digits gives 14424030231424.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 94297597 + ... + 94450435.

It is an arithmetic number, because the mean of its divisors is an integer number (247788220050).

Almost surely, 214424030231424 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14424030231424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15858446083200).

14424030231424 is an abundant number, since it is smaller than the sum of its proper divisors (17292861934976).

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

14424030231424 is a wasteful number, since it uses less digits than its factorization.

14424030231424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153652 (or 153640 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 34.

Adding to 14424030231424 its reverse (42413203042441), we get a palindrome (56837233273865).

The spelling of 14424030231424 in words is "fourteen trillion, four hundred twenty-four billion, thirty million, two hundred thirty-one thousand, four hundred twenty-four".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 97 128 176 194 352 388 691 704 776 1067 1382 1408 1552 2134 2764 3104 4268 5528 6208 7601 8536 11056 12416 15202 17072 22112 30404 34144 44224 60808 67027 68288 88448 121616 134054 136576 152839 243232 268108 305678 486464 536216 611356 737297 972928 1072432 1222712 1474594 1681229 2144864 2445424 2949188 3362458 4289728 4890848 5898376 6724916 8579456 9781696 11796752 13449832 14825383 19563392 23593504 26899664 29650766 47187008 53799328 59301532 94374016 105611749 107598656 118603064 163079213 211223498 215197312 237206128 326158426 422446996 474412256 652316852 844893992 948824512 1161729239 1304633704 1689787984 1897649024 2323458478 2609267408 3379575968 4646916956 5218534816 6759151936 9293833912 10244339653 10437069632 13518303872 18587667824 20488679306 20874139264 37175335648 40977358612 74350671296 81954717224 112687736183 148701342592 163909434448 225375472366 327818868896 450750944732 655637737792 901501889464 1311275475584 1803003778928 3606007557856 7212015115712 14424030231424