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354123333441 = 32291356794381
BaseRepresentation
bin1010010011100110110…
…01010011111101000001
31020212001110112020111100
411021303121103331001
521300221033132231
6430403152005013
734404335445363
oct5116331237501
91225043466440
10354123333441
11127201431839
125876b230769
1327516c132b7
14131d532cd33
15932903c1e6
hex5273653f41

354123333441 has 12 divisors (see below), whose sum is σ = 529149808980. Its totient is φ = 227941455840.

The previous prime is 354123333397. The next prime is 354123333449. The reversal of 354123333441 is 144333321453.

354123333441 is a `hidden beast` number, since 3 + 54 + 1 + 233 + 334 + 41 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 187904043441 + 166219290000 = 433479^2 + 407700^2 .

It is not a de Polignac number, because 354123333441 - 213 = 354123325249 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 354123333396 and 354123333405.

It is not an unprimeable number, because it can be changed into a prime (354123333449) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 678396930 + ... + 678397451.

It is an arithmetic number, because the mean of its divisors is an integer number (44095817415).

Almost surely, 2354123333441 is an apocalyptic number.

It is an amenable number.

354123333441 is a deficient number, since it is larger than the sum of its proper divisors (175026475539).

354123333441 is a wasteful number, since it uses less digits than its factorization.

354123333441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1356794416 (or 1356794413 counting only the distinct ones).

The product of its digits is 155520, while the sum is 36.

Adding to 354123333441 its reverse (144333321453), we get a palindrome (498456654894).

The spelling of 354123333441 in words is "three hundred fifty-four billion, one hundred twenty-three million, three hundred thirty-three thousand, four hundred forty-one".

Divisors: 1 3 9 29 87 261 1356794381 4070383143 12211149429 39347037049 118041111147 354123333441