Search a number
-
+
4454312134544 = 249531973148061
BaseRepresentation
bin100000011010001100110…
…1100010100011110010000
3120202211100200010101002122
41000310121230110132100
51040434412401301134
613250141023433412
7636546002302526
oct100643154243620
916684320111078
104454312134544
111468077092578
125bb338155868
1326406968429c
141158387d8316
157ad00ac802e
hex40d19b14790

4454312134544 has 40 divisors (see below), whose sum is σ = 8643722750712. Its totient is φ = 2223676421120.

The previous prime is 4454312134523. The next prime is 4454312134549.

4454312134544 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 4 ways, for example, as 3224876944 + 4451087257600 = 56788^2 + 2109760^2 .

It is a junction number, because it is equal to n+sod(n) for n = 4454312134495 and 4454312134504.

It is not an unprimeable number, because it can be changed into a prime (4454312134549) 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 7 ways as a sum of consecutive naturals, for example, 30010274 + ... + 30158334.

Almost surely, 24454312134544 is an apocalyptic number.

It is an amenable number.

4454312134544 is a deficient number, since it is larger than the sum of its proper divisors (4189410616168).

4454312134544 is a wasteful number, since it uses less digits than its factorization.

4454312134544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150995 (or 150989 counting only the distinct ones).

The product of its digits is 1843200, while the sum is 44.

The spelling of 4454312134544 in words is "four trillion, four hundred fifty-four billion, three hundred twelve million, one hundred thirty-four thousand, five hundred forty-four".

Divisors: 1 2 4 8 16 953 1906 1973 3812 3946 7624 7892 15248 15784 31568 148061 296122 592244 1184488 1880269 2368976 3760538 7521076 15042152 30084304 141102133 282204266 292124353 564408532 584248706 1128817064 1168497412 2257634128 2336994824 4673989648 278394508409 556789016818 1113578033636 2227156067272 4454312134544