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342504687121 = 58729972
BaseRepresentation
bin1001111101111101101…
…11101100011000010001
31012202001201222212001021
410332332313230120101
521102422144441441
6421202224035441
733513404543062
oct4767667543021
91182051885037
10342504687121
11122289a6a8a3
1256468162b81
13263b4a91b4c
1412812220569
158d98eea3d1
hex4fbedec611

342504687121 has 9 divisors (see below), whose sum is σ = 343433631099. Its totient is φ = 341578253784.

The previous prime is 342504687053. The next prime is 342504687149. The reversal of 342504687121 is 121786405243.

The square root of 342504687121 is 585239.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 294821850625 + 47682836496 = 542975^2 + 218364^2 .

It is not a de Polignac number, because 342504687121 - 227 = 342370469393 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (342504687521) 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 8 ways as a sum of consecutive naturals, for example, 343534795 + ... + 343535791.

Almost surely, 2342504687121 is an apocalyptic number.

342504687121 is the 585239-th square number.

342504687121 is the 292620-th centered octagonal number.

It is an amenable number.

342504687121 is a deficient number, since it is larger than the sum of its proper divisors (928943978).

342504687121 is an frugal number, since it uses more digits than its factorization.

342504687121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3168 (or 1584 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 43.

The spelling of 342504687121 in words is "three hundred forty-two billion, five hundred four million, six hundred eighty-seven thousand, one hundred twenty-one".

Divisors: 1 587 997 344569 585239 994009 343535293 583483283 342504687121