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2454434531144 = 231769341260269
BaseRepresentation
bin100011101101110111101…
…100101100011101001000
322200122022202120220200222
4203231313230230131020
5310203140214444034
65115315054045212
7342220114200041
oct43556754543510
98618282526628
102454434531144
11866a13340102
123378291a9808
1314a5b55a594b
1486b1c2c98c8
1543ca372612e
hex23b77b2c748

2454434531144 has 32 divisors (see below), whose sum is σ = 4872863431800. Its totient is φ = 1155006919680.

The previous prime is 2454434531083. The next prime is 2454434531149. The reversal of 2454434531144 is 4411354344542.

It can be written as a sum of positive squares in 4 ways, for example, as 2454429822244 + 4708900 = 1566662^2 + 2170^2 .

It is a super-3 number, since 3×24544345311443 (a number of 38 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2454434531095 and 2454434531104.

It is not an unprimeable number, because it can be changed into a prime (2454434531149) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9300242 + ... + 9560510.

Almost surely, 22454434531144 is an apocalyptic number.

It is an amenable number.

2454434531144 is a deficient number, since it is larger than the sum of its proper divisors (2418428900656).

2454434531144 is a wasteful number, since it uses less digits than its factorization.

2454434531144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 329633 (or 329629 counting only the distinct ones).

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

Adding to 2454434531144 its reverse (4411354344542), we get a palindrome (6865788875686).

The spelling of 2454434531144 in words is "two trillion, four hundred fifty-four billion, four hundred thirty-four million, five hundred thirty-one thousand, one hundred forty-four".

Divisors: 1 2 4 8 17 34 68 136 69341 138682 260269 277364 520538 554728 1041076 1178797 2082152 2357594 4424573 4715188 8849146 9430376 17698292 35396584 18047312729 36094625458 72189250916 144378501832 306804316393 613608632786 1227217265572 2454434531144