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354335400411441 = 32391990212483113
BaseRepresentation
bin101000010010001000010001…
…1101011000100000100110001
31201110121010121021211210211220
41100210100203223010010301
5332420412400001131231
63253335234042255253
7134430613353530421
oct12044204353040461
91643533537753756
10354335400411441
11a29a1888033559
12338a86a87b7529
13122938b98cc727
14636dcd3c5c481
152ae712490d896
hex1424423ac4131

354335400411441 has 16 divisors (see below), whose sum is σ = 474426541927680. Its totient is φ = 235233940314240.

The previous prime is 354335400411373. The next prime is 354335400411539. The reversal of 354335400411441 is 144114004533453.

It is not a de Polignac number, because 354335400411441 - 210 = 354335400410417 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 354335400411393 and 354335400411402.

It is not an unprimeable number, because it can be changed into a prime (354335400411541) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 141456501 + ... + 143939613.

It is an arithmetic number, because the mean of its divisors is an integer number (29651658870480).

Almost surely, 2354335400411441 is an apocalyptic number.

It is an amenable number.

354335400411441 is a deficient number, since it is larger than the sum of its proper divisors (120091141516239).

354335400411441 is a wasteful number, since it uses less digits than its factorization.

354335400411441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2682376.

The product of its (nonzero) digits is 691200, while the sum is 42.

Adding to 354335400411441 its reverse (144114004533453), we get a palindrome (498449404944894).

The spelling of 354335400411441 in words is "three hundred fifty-four trillion, three hundred thirty-five billion, four hundred million, four hundred eleven thousand, four hundred forty-one".

Divisors: 1 3 239 717 199021 597063 2483113 7449339 47566019 142698057 593464007 1780392021 494191632373 1482574897119 118111800137147 354335400411441