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2142486369 = 343721392
BaseRepresentation
bin111111110110011…
…1011111101100001
312112022110120210000
41333230323331201
513341434030434
6552332530213
7104043555642
oct17754737541
95468416700
102142486369
119aa4177a1
124b9620969
13281b4531a
141647896c9
15c815ab99
hex7fb3bf61

2142486369 has 45 divisors (see below), whose sum is σ = 3313176867. Its totient is φ = 1379722896.

The previous prime is 2142486323. The next prime is 2142486373. The reversal of 2142486369 is 9636842412.

The square root of 2142486369 is 46287.

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

2142486369 is a `hidden beast` number, since 2 + 1 + 4 + 2 + 4 + 8 + 636 + 9 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1917126225 + 225360144 = 43785^2 + 15012^2 .

It is not a de Polignac number, because 2142486369 - 211 = 2142484321 is a prime.

It is a super-2 number, since 2×21424863692 = 9180495682701608322, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2142486769) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 15413502 + ... + 15413640.

Almost surely, 22142486369 is an apocalyptic number.

2142486369 is the 46287-th square number.

2142486369 is the 23144-th centered octagonal number.

It is an amenable number.

2142486369 is a deficient number, since it is larger than the sum of its proper divisors (1170690498).

2142486369 is an frugal number, since it uses more digits than its factorization.

2142486369 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 364 (or 179 counting only the distinct ones).

The product of its digits is 497664, while the sum is 45.

The cubic root of 2142486369 is about 1289.1576274420.

The spelling of 2142486369 in words is "two billion, one hundred forty-two million, four hundred eighty-six thousand, three hundred sixty-nine".

Divisors: 1 3 9 27 37 81 111 139 333 417 999 1251 1369 2997 3753 4107 5143 11259 12321 15429 19321 36963 46287 57963 110889 138861 173889 190291 416583 521667 570873 714877 1565001 1712619 2144631 5137857 6433893 15413571 19301679 26450449 57905037 79351347 238054041 714162123 2142486369