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281144913361 = 132407872
BaseRepresentation
bin1000001011101011000…
…10101110110111010001
3222212200110202101100221
410011311202232313101
514101241044211421
6333053423113041
726212014222304
oct4056542566721
9885613671327
10281144913361
11a9261a79674
12465a2a42781
13206866cba00
14d870d2ab3b
1574a71eb841
hex41758aedd1

281144913361 has 9 divisors (see below), whose sum is σ = 304442488731. Its totient is φ = 259512018792.

The previous prime is 281144913353. The next prime is 281144913373. The reversal of 281144913361 is 163319441182.

It is a happy number.

The square root of 281144913361 is 530231.

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., 41589484225 + 239555429136 = 203935^2 + 489444^2 .

It is not a de Polignac number, because 281144913361 - 23 = 281144913353 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (281144913331) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 6872610 + ... + 6913396.

Almost surely, 2281144913361 is an apocalyptic number.

281144913361 is the 530231-st square number.

281144913361 is the 265116-th centered octagonal number.

It is an amenable number.

281144913361 is a deficient number, since it is larger than the sum of its proper divisors (23297575370).

281144913361 is an frugal number, since it uses more digits than its factorization.

281144913361 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81600 (or 40800 counting only the distinct ones).

The product of its digits is 124416, while the sum is 43.

The spelling of 281144913361 in words is "two hundred eighty-one billion, one hundred forty-four million, nine hundred thirteen thousand, three hundred sixty-one".

Divisors: 1 13 169 40787 530231 6893003 1663579369 21626531797 281144913361