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442630444377 = 311411285325453
BaseRepresentation
bin1100111000011101101…
…01001001010101011001
31120022111200021022211010
412130032311021111121
524223001343210002
6535201442324133
743656536461602
oct6341665112531
91508450238733
10442630444377
1116079a38a210
1271950059649
1332980662b64
14175cdc58da9
15b7a92c646c
hex670ed49559

442630444377 has 32 divisors (see below), whose sum is σ = 659606403456. Its totient is φ = 261687283200.

The previous prime is 442630444369. The next prime is 442630444379. The reversal of 442630444377 is 773444036244.

It is a happy number.

It is not a de Polignac number, because 442630444377 - 23 = 442630444369 is a prime.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is not an unprimeable number, because it can be changed into a prime (442630444379) 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, 17377383 + ... + 17402835.

It is an arithmetic number, because the mean of its divisors is an integer number (20612700108).

Almost surely, 2442630444377 is an apocalyptic number.

It is an amenable number.

442630444377 is a deficient number, since it is larger than the sum of its proper divisors (216975959079).

442630444377 is a wasteful number, since it uses less digits than its factorization.

442630444377 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38361.

The product of its (nonzero) digits is 5419008, while the sum is 48.

The spelling of 442630444377 in words is "four hundred forty-two billion, six hundred thirty million, four hundred forty-four thousand, three hundred seventy-seven".

Divisors: 1 3 11 33 41 123 451 1353 12853 25453 38559 76359 141383 279983 424149 526973 839949 1043573 1580919 3130719 5796703 11479303 17390109 34437909 327147409 981442227 3598621499 10795864497 13413043769 40239131307 147543481459 442630444377