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13431400044314 = 27219291951127493
BaseRepresentation
bin1100001101110011110111…
…0101000001011100011010
31202120000210100210102101112
43003130331311001130122
53230030001402404224
644322144444420322
72554246420440200
oct303347565013432
952500710712345
1013431400044314
11430925219513a
12160b1188476a2
13765763754525
14346124557070
151845aca5c30e
hexc373dd4171a

13431400044314 has 96 divisors (see below), whose sum is σ = 25533886348800. Its totient is φ = 5262563779200.

The previous prime is 13431400044313. The next prime is 13431400044319. The reversal of 13431400044314 is 41344000413431.

It is not an unprimeable number, because it can be changed into a prime (13431400044313) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 105286352 + ... + 105413844.

It is an arithmetic number, because the mean of its divisors is an integer number (265977982800).

Almost surely, 213431400044314 is an apocalyptic number.

13431400044314 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

13431400044314 is a deficient number, since it is larger than the sum of its proper divisors (12102486304486).

13431400044314 is a wasteful number, since it uses less digits than its factorization.

13431400044314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129508 (or 129501 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 32.

Adding to 13431400044314 its reverse (41344000413431), we get a palindrome (54775400457745).

The spelling of 13431400044314 in words is "thirteen trillion, four hundred thirty-one billion, four hundred million, forty-four thousand, three hundred fourteen".

Divisors: 1 2 7 14 19 29 38 49 58 98 133 203 266 406 551 931 1102 1421 1862 1951 2842 3857 3902 7714 13657 26999 27314 37069 53998 56579 74138 95599 113158 127493 191198 254986 259483 396053 518966 792106 892451 1075001 1784902 1816381 2150002 2422367 2772371 3632762 3697297 4844734 5544742 6247157 7394594 7525007 12494314 15050014 16956569 25881079 33913138 51762158 52675049 70248643 105350098 118695983 140497286 181167553 237391966 248738843 362335106 491740501 497477686 983481002 1741171901 3442183507 3482343802 4726038017 6884367014 7213426447 9452076034 12188203307 14426852894 24376406614 33082266119 50493985129 66164532238 100987970258 137055102493 231575862833 274110204986 353457895903 463151725666 706915791806 959385717451 1918771434902 6715700022157 13431400044314