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354144335361 = 33891259241037
BaseRepresentation
bin1010010011101001010…
…01011011011000000001
31020212002221001020201020
411021310221123120001
521300241422212421
6430405222100053
734405012116435
oct5116451333001
91225087036636
10354144335361
111272122768a3
125877627a629
132751b38777b
14131d80389c5
15932acd9dc6
hex5274a5b601

354144335361 has 16 divisors (see below), whose sum is σ = 473784292800. Its totient is φ = 235301271488.

The previous prime is 354144335353. The next prime is 354144335437. The reversal of 354144335361 is 163533441453.

It is a cyclic number.

It is not a de Polignac number, because 354144335361 - 23 = 354144335353 is a prime.

It is not an unprimeable number, because it can be changed into a prime (354144335161) 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, 1348735 + ... + 1589771.

It is an arithmetic number, because the mean of its divisors is an integer number (29611518300).

Almost surely, 2354144335361 is an apocalyptic number.

It is an amenable number.

354144335361 is a deficient number, since it is larger than the sum of its proper divisors (119639957439).

354144335361 is a wasteful number, since it uses less digits than its factorization.

354144335361 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 242688.

The product of its digits is 777600, while the sum is 42.

The spelling of 354144335361 in words is "three hundred fifty-four billion, one hundred forty-four million, three hundred thirty-five thousand, three hundred sixty-one".

Divisors: 1 3 389 1167 1259 3777 241037 489751 723111 1469253 93763393 281290179 303465583 910396749 118048111787 354144335361