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42144310433 = 731093528197
BaseRepresentation
bin100111001111111111…
…110010010010100001
311000210002221210102102
4213033333302102201
51142302420413213
631205534500145
73021242504501
oct471777622241
9130702853372
1042144310433
1116967401225
128202064655
133c883b5bc4
14207b2ada01
151169da3158
hex9cfff24a1

42144310433 has 8 divisors (see below), whose sum is σ = 42760797288. Its totient is φ = 41528882304.

The previous prime is 42144310379. The next prime is 42144310447. The reversal of 42144310433 is 33401344124.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 30037049344 + 12107261089 = 173312^2 + 110033^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 42144310433 - 220 = 42143261857 is a prime.

It is a super-2 number, since 2×421443104332 (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 42144310396 and 42144310405.

It is not an unprimeable number, because it can be changed into a prime (42144310633) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 184310 + ... + 343887.

It is an arithmetic number, because the mean of its divisors is an integer number (5345099661).

Almost surely, 242144310433 is an apocalyptic number.

It is an amenable number.

42144310433 is a deficient number, since it is larger than the sum of its proper divisors (616486855).

42144310433 is a wasteful number, since it uses less digits than its factorization.

42144310433 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 529363.

The product of its (nonzero) digits is 13824, while the sum is 29.

Adding to 42144310433 its reverse (33401344124), we get a palindrome (75545654557).

The spelling of 42144310433 in words is "forty-two billion, one hundred forty-four million, three hundred ten thousand, four hundred thirty-three".

Divisors: 1 73 1093 79789 528197 38558381 577319321 42144310433