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42033141441 = 3246110130909
BaseRepresentation
bin100111001001010111…
…101101011011000001
311000111100202211020100
4213021113231123001
51142040441011231
631150524033013
73015422543604
oct471127553301
9130440684210
1042033141441
111690a681325
128190992769
133c6b361735
14206a61233b
1511602441e6
hex9c95ed6c1

42033141441 has 12 divisors (see below), whose sum is σ = 60846245460. Its totient is φ = 27961306080.

The previous prime is 42033141433. The next prime is 42033141499. The reversal of 42033141441 is 14414133024.

42033141441 is a `hidden beast` number, since 4 + 203 + 3 + 1 + 414 + 41 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 4799579841 + 37233561600 = 69279^2 + 192960^2 .

It is not a de Polignac number, because 42033141441 - 23 = 42033141433 is a prime.

It is a super-2 number, since 2×420331414412 (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (42033141421) 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 11 ways as a sum of consecutive naturals, for example, 5061306 + ... + 5069603.

It is an arithmetic number, because the mean of its divisors is an integer number (5070520455).

Almost surely, 242033141441 is an apocalyptic number.

It is an amenable number.

42033141441 is a deficient number, since it is larger than the sum of its proper divisors (18813104019).

42033141441 is a wasteful number, since it uses less digits than its factorization.

42033141441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10131376 (or 10131373 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 42033141441 its reverse (14414133024), we get a palindrome (56447274465).

The spelling of 42033141441 in words is "forty-two billion, thirty-three million, one hundred forty-one thousand, four hundred forty-one".

Divisors: 1 3 9 461 1383 4149 10130909 30392727 91178181 4670349049 14011047147 42033141441