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42741135361 = 1722371123909
BaseRepresentation
bin100111110011100100…
…011111100000000001
311002022200222122022101
4213303210133200001
51200013212312421
631345054510401
73042110441041
oct476344374001
9132280878271
1042741135361
1117143290671
128349b05401
134051c3c552
1420d666b721
1511a2495191
hex9f391f801

42741135361 has 8 divisors (see below), whose sum is σ = 45275590440. Its totient is φ = 40208932608.

The previous prime is 42741135329. The next prime is 42741135383. The reversal of 42741135361 is 16353114724.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 6396000625 + 36345134736 = 79975^2 + 190644^2 .

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 42741135361 - 25 = 42741135329 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 42741135361.

It is not an unprimeable number, because it can be changed into a prime (42741135301) 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, 523926 + ... + 599983.

It is an arithmetic number, because the mean of its divisors is an integer number (5659448805).

Almost surely, 242741135361 is an apocalyptic number.

It is an amenable number.

42741135361 is a deficient number, since it is larger than the sum of its proper divisors (2534455079).

42741135361 is a wasteful number, since it uses less digits than its factorization.

42741135361 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1126163.

The product of its digits is 60480, while the sum is 37.

The spelling of 42741135361 in words is "forty-two billion, seven hundred forty-one million, one hundred thirty-five thousand, three hundred sixty-one".

Divisors: 1 17 2237 38029 1123909 19106453 2514184433 42741135361