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144956094361 = 132292872
BaseRepresentation
bin1000011100000000001…
…1100111011110011001
3111212011020110120002121
42013000003213132121
54333332230004421
6150331504101241
713321101321001
oct2070003473631
9455136416077
10144956094361
1156525a331a1
1224115604821
13108915ba400
147031941001
153b85da3d41
hex21c00e7799

144956094361 has 9 divisors (see below), whose sum is σ = 156969651231. Its totient is φ = 133801056792.

The previous prime is 144956094317. The next prime is 144956094373. The reversal of 144956094361 is 163490659441.

The square root of 144956094361 is 380731.

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., 21443209225 + 123512885136 = 146435^2 + 351444^2 .

It is not a de Polignac number, because 144956094361 - 223 = 144947705753 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 144956094299 and 144956094308.

It is not an unprimeable number, because it can be changed into a prime (144956094461) 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 8 ways as a sum of consecutive naturals, for example, 4934860 + ... + 4964146.

It is an arithmetic number, because the mean of its divisors is an integer number (17441072359).

Almost surely, 2144956094361 is an apocalyptic number.

144956094361 is the 380731-st square number.

144956094361 is the 190366-th centered octagonal number.

It is an amenable number.

144956094361 is a deficient number, since it is larger than the sum of its proper divisors (12013556870).

144956094361 is an frugal number, since it uses more digits than its factorization.

144956094361 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58600 (or 29300 counting only the distinct ones).

The product of its (nonzero) digits is 2799360, while the sum is 52.

The spelling of 144956094361 in words is "one hundred forty-four billion, nine hundred fifty-six million, ninety-four thousand, three hundred sixty-one".

Divisors: 1 13 169 29287 380731 4949503 857728369 11150468797 144956094361