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3454232214461 = 721571812480717
BaseRepresentation
bin110010010001000000010…
…010001011101110111101
3110020012222101022120212112
4302101000102023232331
5423043231421330321
611202504040143405
7504363044242400
oct62210022135675
913205871276775
103454232214461
111111a28040526
12479553467b65
131c096a985872
14bd285909d37
155ecbc326a5b
hex3244048bbbd

3454232214461 has 24 divisors (see below), whose sum is σ = 4066125028056. Its totient is φ = 2925657221760.

The previous prime is 3454232214457. The next prime is 3454232214491. The reversal of 3454232214461 is 1644122324543.

It can be written as a sum of positive squares in 4 ways, for example, as 73451298361 + 3380780916100 = 271019^2 + 1838690^2 .

It is not a de Polignac number, because 3454232214461 - 22 = 3454232214457 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3454232214491) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 152075 + ... + 2632791.

It is an arithmetic number, because the mean of its divisors is an integer number (169421876169).

Almost surely, 23454232214461 is an apocalyptic number.

It is an amenable number.

3454232214461 is a deficient number, since it is larger than the sum of its proper divisors (611892813595).

3454232214461 is a wasteful number, since it uses less digits than its factorization.

3454232214461 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2481069 (or 2481062 counting only the distinct ones).

The product of its digits is 552960, while the sum is 41.

The spelling of 3454232214461 in words is "three trillion, four hundred fifty-four billion, two hundred thirty-two million, two hundred fourteen thousand, four hundred sixty-one".

Divisors: 1 7 49 157 181 1099 1267 7693 8869 28417 198919 1392433 2480717 17365019 121555133 389472569 449009777 2726307983 3143068439 19084155881 22001479073 70494534989 493461744923 3454232214461