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354204212133441 = 3294319446201353
BaseRepresentation
bin101000010001001011001100…
…0001111011111111001000001
31201110010120222112221210020210
41100202112120033133321001
5332411240211301232231
63253155100234224333
7134415260400545625
oct12042263017377101
91643116875853223
10354204212133441
11a295118773459a
1233887195b850a9
13122844107a9027
14636780aa35185
152ae39e75c7a46
hex14225983dfe41

354204212133441 has 16 divisors (see below), whose sum is σ = 489691078191360. Its totient is φ = 227464528556160.

The previous prime is 354204212133433. The next prime is 354204212133533. The reversal of 354204212133441 is 144331212402453.

It is not a de Polignac number, because 354204212133441 - 23 = 354204212133433 is a prime.

It is a super-3 number, since 3×3542042121334413 (a number of 45 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 354204212133441.

It is not an unprimeable number, because it can be changed into a prime (354204212134441) 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 15 ways as a sum of consecutive naturals, for example, 4723063180 + ... + 4723138173.

It is an arithmetic number, because the mean of its divisors is an integer number (30605692386960).

Almost surely, 2354204212133441 is an apocalyptic number.

It is an amenable number.

354204212133441 is a deficient number, since it is larger than the sum of its proper divisors (135486866057919).

354204212133441 is a wasteful number, since it uses less digits than its factorization.

354204212133441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9446201816.

The product of its (nonzero) digits is 276480, while the sum is 39.

Adding to 354204212133441 its reverse (144331212402453), we get a palindrome (498535424535894).

The spelling of 354204212133441 in words is "three hundred fifty-four trillion, two hundred four billion, two hundred twelve million, one hundred thirty-three thousand, four hundred forty-one".

Divisors: 1 3 29 87 431 1293 12499 37497 9446201353 28338604059 273939839237 821819517711 4071312783143 12213938349429 118068070711147 354204212133441