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42233240314441 = 112349035043921
BaseRepresentation
bin10011001101001001100010…
…10010010110001001001001
312112112110101010120110221001
421212210301102112021021
521013422134010030231
6225453403250415001
711616152031362401
oct1146446122261111
9175473333513831
1042233240314441
1112503020159300
1248a1102891461
131a747679285c7
14a60157975801
154d38b44aab61
hex266931496249

42233240314441 has 6 divisors (see below), whose sum is σ = 46421660841626. Its totient is φ = 38393854831200.

The previous prime is 42233240314393. The next prime is 42233240314493. The reversal of 42233240314441 is 14441304233224.

It can be written as a sum of positive squares in only one way, i.e., 41456806180416 + 776434134025 = 6438696^2 + 881155^2 .

It is not a de Polignac number, because 42233240314441 - 217 = 42233240183369 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 42233240314441.

It is not an unprimeable number, because it can be changed into a prime (42233240314541) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 174517521840 + ... + 174517522081.

Almost surely, 242233240314441 is an apocalyptic number.

It is an amenable number.

42233240314441 is a deficient number, since it is larger than the sum of its proper divisors (4188420527185).

42233240314441 is a wasteful number, since it uses less digits than its factorization.

42233240314441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 349035043943 (or 349035043932 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 37.

Adding to 42233240314441 its reverse (14441304233224), we get a palindrome (56674544547665).

The spelling of 42233240314441 in words is "forty-two trillion, two hundred thirty-three billion, two hundred forty million, three hundred fourteen thousand, four hundred forty-one".

Divisors: 1 11 121 349035043921 3839385483131 42233240314441