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4444311121225 = 524197109410093
BaseRepresentation
bin100000010101100010110…
…0101011110110101001001
3120201212112200110020221221
41000223011211132311021
51040303422121334400
613241404403202041
7636043113140353
oct100530545366511
916655480406857
104444311121225
111463904846208
125b9406976321
13263134700821
1411516a4900d3
157a917ab9c1a
hex40ac595ed49

4444311121225 has 48 divisors (see below), whose sum is σ = 5755898942640. Its totient is φ = 3401467084800.

The previous prime is 4444311121223. The next prime is 4444311121231. The reversal of 4444311121225 is 5221211134444.

It can be written as a sum of positive squares in 24 ways, for example, as 3977898614089 + 466412507136 = 1994467^2 + 682944^2 .

It is not a de Polignac number, because 4444311121225 - 21 = 4444311121223 is a prime.

It is not an unprimeable number, because it can be changed into a prime (4444311121223) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10632279 + ... + 11042371.

It is an arithmetic number, because the mean of its divisors is an integer number (119914561305).

Almost surely, 24444311121225 is an apocalyptic number.

It is an amenable number.

4444311121225 is a deficient number, since it is larger than the sum of its proper divisors (1311587821415).

4444311121225 is a wasteful number, since it uses less digits than its factorization.

4444311121225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 410350 (or 410345 counting only the distinct ones).

The product of its digits is 30720, while the sum is 34.

Adding to 4444311121225 its reverse (5221211134444), we get a palindrome (9665522255669).

The spelling of 4444311121225 in words is "four trillion, four hundred forty-four billion, three hundred eleven million, one hundred twenty-one thousand, two hundred twenty-five".

Divisors: 1 5 25 41 97 109 205 485 545 1025 2425 2725 3977 4469 10573 19885 22345 52865 99425 111725 264325 410093 433493 2050465 2167465 10252325 10837325 16813813 39779021 44700137 84069065 198895105 223500685 420345325 994475525 1117503425 1630939861 1832705617 4335913289 8154699305 9163528085 21679566445 40773496525 45817640425 108397832225 177772444849 888862224245 4444311121225