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4340433673729 = 611011819938711
BaseRepresentation
bin111111001010010110000…
…000011101111000000001
3120100221102021201011200201
4333022112000131320001
51032103202010024404
613121545005045201
7625404664330246
oct77122600357001
916327367634621
104340433673729
11142384972144a
125a1256556801
132563bb7ab36a
1411011449b5cd
1577d88266ca4
hex3f29601de01

4340433673729 has 16 divisors (see below), whose sum is σ = 4455627321600. Its totient is φ = 4226667480000.

The previous prime is 4340433673711. The next prime is 4340433673753. The reversal of 4340433673729 is 9273763340434.

It is a cyclic number.

It is not a de Polignac number, because 4340433673729 - 211 = 4340433671681 is a prime.

It is a super-4 number, since 4×43404336737294 (a number of 52 digits) contains 4444 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 4340433673729.

It is not an unprimeable number, because it can be changed into a prime (4340433673759) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 112104684 + ... + 112143394.

It is an arithmetic number, because the mean of its divisors is an integer number (278476707600).

Almost surely, 24340433673729 is an apocalyptic number.

It is an amenable number.

4340433673729 is a deficient number, since it is larger than the sum of its proper divisors (115193647871).

4340433673729 is a wasteful number, since it uses less digits than its factorization.

4340433673729 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57072.

The product of its (nonzero) digits is 27433728, while the sum is 55.

The spelling of 4340433673729 in words is "four trillion, three hundred forty billion, four hundred thirty-three million, six hundred seventy-three thousand, seven hundred twenty-nine".

Divisors: 1 61 101 6161 18199 38711 1110139 1838099 2361371 3909811 112124039 238498471 704501489 42974590829 71154650389 4340433673729