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350028332941 = 71925188711821
BaseRepresentation
bin1010001011111110101…
…00000111111110001101
31020110111002001122212011
411011333110013332031
521213324223123231
6424444545541221
734201012511410
oct5057724077615
91213432048764
10350028332941
1112549a961301
1257a07944811
132701370b891
1412d27529b77
15918979d9b1
hex517f507f8d

350028332941 has 32 divisors (see below), whose sum is σ = 423276779520. Its totient is φ = 282758040000.

The previous prime is 350028332923. The next prime is 350028332947. The reversal of 350028332941 is 149233820053.

It is a cyclic number.

It is not a de Polignac number, because 350028332941 - 211 = 350028330893 is a prime.

It is a super-2 number, since 2×3500283329412 (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 350028332894 and 350028332903.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (350028332947) 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 31 ways as a sum of consecutive naturals, for example, 29604811 + ... + 29616631.

It is an arithmetic number, because the mean of its divisors is an integer number (13227399360).

Almost surely, 2350028332941 is an apocalyptic number.

It is an amenable number.

350028332941 is a deficient number, since it is larger than the sum of its proper divisors (73248446579).

350028332941 is a wasteful number, since it uses less digits than its factorization.

350028332941 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12985.

The product of its (nonzero) digits is 155520, while the sum is 40.

The spelling of 350028332941 in words is "three hundred fifty billion, twenty-eight million, three hundred thirty-two thousand, nine hundred forty-one".

Divisors: 1 7 19 133 251 887 1757 4769 6209 11821 16853 33383 82747 117971 222637 224599 1558459 1572193 2967071 4230103 10485227 20769497 29610721 56374349 73396589 199219313 394620443 1394535191 2631791977 18422543839 50004047563 350028332941