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4332435414342 = 2371011804156611
BaseRepresentation
bin111111000010111001010…
…001100001110101000110
3120100011202212120111110120
4333002321101201311012
51031440311431224332
613114143210402410
7625002534256620
oct77027121416506
916304685514416
104332435414342
111420414932822
1259b7a3a30406
132557157275b9
1410d996127c10
1577a6aeb232c
hex3f0b9461d46

4332435414342 has 64 divisors (see below), whose sum is σ = 10001487149568. Its totient is φ = 1225493280000.

The previous prime is 4332435414341. The next prime is 4332435414389. The reversal of 4332435414342 is 2434145342334.

4332435414342 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 4332435414294 and 4332435414303.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4332435414341) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 76501617 + ... + 76558227.

It is an arithmetic number, because the mean of its divisors is an integer number (156273236712).

Almost surely, 24332435414342 is an apocalyptic number.

4332435414342 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

4332435414342 is an abundant number, since it is smaller than the sum of its proper divisors (5669051735226).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

4332435414342 is a wasteful number, since it uses less digits than its factorization.

4332435414342 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74765.

The product of its digits is 1658880, while the sum is 42.

The spelling of 4332435414342 in words is "four trillion, three hundred thirty-two billion, four hundred thirty-five million, four hundred fourteen thousand, three hundred forty-two".

Divisors: 1 2 3 6 7 14 21 42 101 202 303 606 707 1414 2121 4242 18041 36082 54123 56611 108246 113222 126287 169833 252574 339666 378861 396277 757722 792554 1188831 1822141 2377662 3644282 5466423 5717711 10932846 11435422 12754987 17153133 25509974 34306266 38264961 40023977 76529922 80047954 120071931 240143862 1021319051 2042638102 3063957153 6127914306 7149233357 14298466714 21447700071 42895400142 103153224151 206306448302 309459672453 618919344906 722072569057 1444145138114 2166217707171 4332435414342