Search a number
-
+
3028313442025 = 521725923472
BaseRepresentation
bin101100000100010101100…
…011000000011011101001
3101201111121101000011020001
4230010111203000123221
5344103441220121100
610235104334503001
7431534300354224
oct54042543003351
911644541004201
103028313442025
11a68333a98843
1240aaa8064a61
1318c751673bb1
14a67dd3585bb
1553b90271d6a
hex2c1158c06e9

3028313442025 has 81 divisors (see below), whose sum is σ = 4069474310629. Its totient is φ = 2235035772160.

The previous prime is 3028313442017. The next prime is 3028313442029. The reversal of 3028313442025 is 5202443138203.

The square root of 3028313442025 is 1740205.

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

It can be written as a sum of positive squares in 4 ways, for example, as 70835290201 + 2957478151824 = 266149^2 + 1719732^2 .

It is not a de Polignac number, because 3028313442025 - 23 = 3028313442017 is a prime.

It is a super-2 number, since 2×30283134420252 (a number of 26 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (3028313442029) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 8727127902 + ... + 8727128248.

Almost surely, 23028313442025 is an apocalyptic number.

3028313442025 is the 1740205-th square number.

3028313442025 is the 870103-rd centered octagonal number.

It is an amenable number.

3028313442025 is a deficient number, since it is larger than the sum of its proper divisors (1041160868604).

3028313442025 is an frugal number, since it uses more digits than its factorization.

3028313442025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 856 (or 428 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 37.

The spelling of 3028313442025 in words is "three trillion, twenty-eight billion, three hundred thirteen million, four hundred forty-two thousand, twenty-five".

Divisors: 1 5 17 25 59 85 289 295 347 425 1003 1445 1475 1735 3481 5015 5899 7225 8675 17051 17405 20473 25075 29495 59177 85255 87025 100283 102365 120409 147475 295885 348041 426275 501415 511825 602045 1006009 1207907 1479425 1740205 2046953 2507075 3010225 5030045 5916697 6039535 7104131 8701025 10234765 20534419 25150225 29583485 30197675 34798201 35520655 51173825 102672095 120770227 147917425 173991005 177603275 349085123 419143729 513360475 603851135 869955025 1745425615 2053093859 2095718645 3019255675 7125443393 8727128075 10265469295 10478593225 35627216965 51327346475 121132537681 178136084825 605662688405 3028313442025