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14434044332323 = 711371011033671327
BaseRepresentation
bin1101001000001011000000…
…0101011100100100100011
31220002212210100220121002111
43102002300011130210203
53342441410322113243
650410524115300151
73016553034324550
oct322026005344443
956085710817074
1014434044332323
114665497804820
1217514b82aa657
138091807cb515
1437c87bc4da27
151a06e150139d
hexd20b015c923

14434044332323 has 128 divisors (see below), whose sum is σ = 18911859572736. Its totient is φ = 10692482112000.

The previous prime is 14434044332177. The next prime is 14434044332347. The reversal of 14434044332323 is 32323344043441.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-14434044332323 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (14434044330323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 10877199286 + ... + 10877200612.

It is an arithmetic number, because the mean of its divisors is an integer number (147748902912).

Almost surely, 214434044332323 is an apocalyptic number.

14434044332323 is a deficient number, since it is larger than the sum of its proper divisors (4477815240413).

14434044332323 is a wasteful number, since it uses less digits than its factorization.

14434044332323 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1953.

The product of its (nonzero) digits is 995328, while the sum is 40.

Adding to 14434044332323 its reverse (32323344043441), we get a palindrome (46757388375764).

The spelling of 14434044332323 in words is "fourteen trillion, four hundred thirty-four billion, forty-four million, three hundred thirty-two thousand, three hundred twenty-three".

Divisors: 1 7 11 37 77 101 103 259 367 407 707 721 1111 1133 1327 2569 2849 3737 3811 4037 7777 7931 9289 10403 13579 14597 26159 26677 28259 37067 37801 41107 41921 49099 72821 95053 102179 114433 134027 136681 149369 259469 264607 287749 293447 343693 384911 407737 415811 487009 540089 801031 938189 956767 1045583 1371479 1398637 1474297 1503491 2694377 2854159 2910677 3409063 3780623 3817901 4234021 4958999 5057197 5357099 9600353 9790459 10320079 10524437 13804781 15086269 15385007 18019333 26725307 29638147 34712993 35400379 37499693 41996911 49187909 50161927 54548989 55629167 96633467 105603883 107695049 126135331 141262337 151852591 198212663 293978377 344315363 351133489 381842923 389404169 510776897 541066999 551781197 988836359 1062968137 1387488641 1553885707 1819952633 1855991299 3575438279 3787468993 3862468379 5066354627 5618545867 10877199949 12739668431 12991939093 20019478963 20415904289 35464482389 39329821069 55729900897 140136352741 142911330023 187455121199 390109306279 1312185848393 2062006333189 14434044332323