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354499461121 = 13296411466953
BaseRepresentation
bin1010010100010011101…
…00001000000000000001
31020220000200021111200011
411022021310020000001
521302003330223441
6430504345424521
734416553462501
oct5121164100001
91226020244604
10354499461121
11127384782063
125885519b141
1327576b16a60
141322d27ba01
15934c087581
hex5289d08001

354499461121 has 16 divisors (see below), whose sum is σ = 395549476560. Its totient is φ = 315453358080.

The previous prime is 354499461089. The next prime is 354499461193. The reversal of 354499461121 is 121164994453.

It can be written as a sum of positive squares in 8 ways, for example, as 26061582096 + 328437879025 = 161436^2 + 573095^2 .

It is a cyclic number.

It is not a de Polignac number, because 354499461121 - 25 = 354499461089 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (354499461521) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 491820 + ... + 975133.

It is an arithmetic number, because the mean of its divisors is an integer number (24721842285).

Almost surely, 2354499461121 is an apocalyptic number.

It is an amenable number.

354499461121 is a deficient number, since it is larger than the sum of its proper divisors (41050015439).

354499461121 is a wasteful number, since it uses less digits than its factorization.

354499461121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1467636.

The product of its digits is 933120, while the sum is 49.

The spelling of 354499461121 in words is "three hundred fifty-four billion, four hundred ninety-nine million, four hundred sixty-one thousand, one hundred twenty-one".

Divisors: 1 13 29 377 641 8333 18589 241657 1466953 19070389 42541637 553041281 940316873 12224119349 27269189317 354499461121