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14400033354441 = 347191336678117
BaseRepresentation
bin1101000110001100010011…
…0111110111001011001001
31212222122000002020220110000
43101203010313313023021
53341412232014320231
650343141202113213
73014240151640620
oct321430467671311
955878002226400
1014400033354441
114652024469739
1217469a604b809
13805bc0470037
1437ad72c346b7
1519e8a06d46e6
hexd18c4df72c9

14400033354441 has 40 divisors (see below), whose sum is σ = 25878088364480. Its totient is φ = 7795506772512.

The previous prime is 14400033354409. The next prime is 14400033354463. The reversal of 14400033354441 is 14445333000441.

14400033354441 is a `hidden beast` number, since 1 + 4 + 40 + 0 + 0 + 3 + 33 + 544 + 41 = 666.

It is not a de Polignac number, because 14400033354441 - 25 = 14400033354409 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 14400033354396 and 14400033354405.

It is not an unprimeable number, because it can be changed into a prime (14400033354341) 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 39 ways as a sum of consecutive naturals, for example, 668328286 + ... + 668349831.

It is an arithmetic number, because the mean of its divisors is an integer number (646952209112).

Almost surely, 214400033354441 is an apocalyptic number.

It is an amenable number.

14400033354441 is a deficient number, since it is larger than the sum of its proper divisors (11478055010039).

14400033354441 is a wasteful number, since it uses less digits than its factorization.

14400033354441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1336678155 (or 1336678146 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 36.

Adding to 14400033354441 its reverse (14445333000441), we get a palindrome (28845366354882).

The spelling of 14400033354441 in words is "fourteen trillion, four hundred billion, thirty-three million, three hundred fifty-four thousand, four hundred forty-one".

Divisors: 1 3 7 9 19 21 27 57 63 81 133 171 189 399 513 567 1197 1539 3591 10773 1336678117 4010034351 9356746819 12030103053 25396884223 28070240457 36090309159 76190652669 84210721371 108270927477 177778189561 228571958007 252632164113 533334568683 685715874021 757896492339 1600003706049 2057147622063 4800011118147 14400033354441