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3142171028689 = 72112230212
BaseRepresentation
bin101101101110010111111…
…111001110110011010001
3102010101111022010211200021
4231232113333032303101
5402440131240404224
610403254330023441
7443004633030100
oct55562777166321
912111438124607
103142171028689
1110016506a1900
12428b82877b81
1319a3c811b854
14ac1209c0037
1556b05d5d1e4
hex2db97fcecd1

3142171028689 has 27 divisors (see below), whose sum is σ = 4017850119003. Its totient is φ = 2448338600400.

The previous prime is 3142171028671. The next prime is 3142171028743. The reversal of 3142171028689 is 9868201712413.

The square root of 3142171028689 is 1772617.

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., 401490778689 + 2740680250000 = 633633^2 + 1655500^2 .

It is not a de Polignac number, because 3142171028689 - 29 = 3142171028177 is a prime.

It is a super-2 number, since 2×31421710286892 (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (3142171028629) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 136479999 + ... + 136503019.

Almost surely, 23142171028689 is an apocalyptic number.

3142171028689 is the 1772617-th square number.

3142171028689 is the 886309-th centered octagonal number.

It is an amenable number.

3142171028689 is a deficient number, since it is larger than the sum of its proper divisors (875679090314).

3142171028689 is an frugal number, since it uses more digits than its factorization.

3142171028689 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46078 (or 23039 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 52.

The spelling of 3142171028689 in words is "three trillion, one hundred forty-two billion, one hundred seventy-one million, twenty-eight thousand, six hundred eighty-nine".

Divisors: 1 7 11 49 77 121 539 847 5929 23021 161147 253231 1128029 1772617 2785541 12408319 19498787 136491509 529966441 3709765087 5829630851 25968355609 40807415957 64125939361 285651911699 448881575527 3142171028689