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14411655611441 = 114152361099217
BaseRepresentation
bin1101000110110111100110…
…0111010000010000110001
31220000202000001120201210222
43101231321213100100301
53342110032314031231
650352342335302425
73015131155332044
oct321557147202061
956022001521728
1014411655611441
114656a48977410
1217490aa37aa15
13807023286a9a
1437b756602c5b
1519ed30bdb27b
hexd1b799d0431

14411655611441 has 16 divisors (see below), whose sum is σ = 16136059076928. Its totient is φ = 12757516300800.

The previous prime is 14411655611429. The next prime is 14411655611447.

It is a happy number.

14411655611441 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 14411655611441 - 242 = 10013609100337 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 14411655611392 and 14411655611401.

It is not an unprimeable number, because it can be changed into a prime (14411655611447) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 30313736 + ... + 30785481.

It is an arithmetic number, because the mean of its divisors is an integer number (1008503692308).

Almost surely, 214411655611441 is an apocalyptic number.

14411655611441 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

14411655611441 is a deficient number, since it is larger than the sum of its proper divisors (1724403465487).

14411655611441 is a wasteful number, since it uses less digits than its factorization.

14411655611441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61099792.

The product of its digits is 230400, while the sum is 44.

The spelling of 14411655611441 in words is "fourteen trillion, four hundred eleven billion, six hundred fifty-five million, six hundred eleven thousand, four hundred forty-one".

Divisors: 1 11 41 451 523 5753 21443 235873 61099217 672091387 2505067897 27555746867 31954890491 351503795401 1310150510131 14411655611441