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14432342410002 = 23118326379712569
BaseRepresentation
bin1101001000000100101010…
…1001001000001100010010
31220002201101202102222120110
43102001022221020030102
53342424414124110002
650410043201222150
73016462620245106
oct322011251101422
956081352388513
1014432342410002
1146647a4049350
121751102331956
13808c6c02acaa
1437c759bc7906
151a0641dbce6c
hexd204aa48312

14432342410002 has 128 divisors (see below), whose sum is σ = 32031986595840. Its totient is φ = 4298573719040.

The previous prime is 14432342410001. The next prime is 14432342410039. The reversal of 14432342410002 is 20001424323441.

It is not an unprimeable number, because it can be changed into a prime (14432342410001) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1148242774 + ... + 1148255342.

It is an arithmetic number, because the mean of its divisors is an integer number (250249895280).

Almost surely, 214432342410002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14432342410002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16015993297920).

14432342410002 is an abundant number, since it is smaller than the sum of its proper divisors (17599644185838).

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

14432342410002 is a wasteful number, since it uses less digits than its factorization.

14432342410002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13728.

The product of its (nonzero) digits is 18432, while the sum is 30.

Adding to 14432342410002 its reverse (20001424323441), we get a palindrome (34433766733443).

The spelling of 14432342410002 in words is "fourteen trillion, four hundred thirty-two billion, three hundred forty-two million, four hundred ten thousand, two".

Divisors: 1 2 3 6 11 22 33 66 83 166 249 263 498 526 789 797 913 1578 1594 1826 2391 2739 2893 4782 5478 5786 8679 8767 12569 17358 17534 21829 25138 26301 37707 43658 52602 65487 66151 75414 130974 132302 138259 198453 209611 240119 276518 396906 414777 419222 480238 628833 720357 727661 829554 1043227 1257666 1440714 1455322 2086454 2182983 2305721 3129681 3305647 4365966 4611442 6259362 6611294 6917163 9916941 10017493 11475497 13834326 17397713 19833882 20034986 22950994 30052479 34426491 34795426 36362117 52193139 60104958 68852982 72724234 104386278 109086351 110192423 191374843 218172702 220384846 274368701 330577269 382749686 548737402 574124529 661154538 823106103 831451919 1148249058 1646212206 1662903838 2494355757 2634600659 3018055711 4988711514 5269201318 6036111422 7903801977 9054167133 9145971109 15807603954 18108334266 18291942218 27437913327 28980607249 54875826654 57961214498 86941821747 173883643494 218671854697 437343709394 656015564091 1312031128182 2405390401667 4810780803334 7216171205001 14432342410002