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354225532133444 = 221249448115822769
BaseRepresentation
bin101000010001010101000111…
…1000000110110000001000100
31201110012122000101022000002112
41100202222033000312001010
5332412112342211232234
63253212544000000152
7134416643621552216
oct12042521700660104
91643178011260075
10354225532133444
11a295a228281104
123388b346000058
131228642a7a204a
1463688703665b6
152ae4344184ace
hex1422a8f036044

354225532133444 has 24 divisors (see below), whose sum is σ = 620529482475000. Its totient is φ = 176931457597440.

The previous prime is 354225532133443. The next prime is 354225532133477. The reversal of 354225532133444 is 444331235522453.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 57812908110400 + 296412624023044 = 7603480^2 + 17216638^2 .

It is a super-3 number, since 3×3542255321334443 (a number of 45 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 354225532133392 and 354225532133401.

It is not an unprimeable number, because it can be changed into a prime (354225532133443) 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, 14475692 + ... + 30298460.

It is an arithmetic number, because the mean of its divisors is an integer number (25855395103125).

Almost surely, 2354225532133444 is an apocalyptic number.

It is an amenable number.

354225532133444 is a deficient number, since it is larger than the sum of its proper divisors (266303950341556).

354225532133444 is a wasteful number, since it uses less digits than its factorization.

354225532133444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15828503 (or 15828501 counting only the distinct ones).

The product of its digits is 20736000, while the sum is 50.

Adding to 354225532133444 its reverse (444331235522453), we get a palindrome (798556767655897).

The spelling of 354225532133444 in words is "three hundred fifty-four trillion, two hundred twenty-five billion, five hundred thirty-two million, one hundred thirty-three thousand, four hundred forty-four".

Divisors: 1 2 4 1249 2498 4481 4996 8962 17924 5596769 11193538 15822769 22387076 31645538 63291076 19762638481 39525276962 70901827889 79050553924 141803655778 283607311556 88556383033361 177112766066722 354225532133444