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42140553541 = 193538140577
BaseRepresentation
bin100111001111110001…
…011101000101000101
311000202211212220221021
4213033301131011011
51142300440203131
631205322151141
73021165536452
oct471761350505
9130684786837
1042140553541
1116965275659
1282009524b1
133c8769bba8
14207a9b2829
1511698aee11
hex9cfc5d145

42140553541 has 8 divisors (see below), whose sum is σ = 42367814424. Its totient is φ = 41913384960.

The previous prime is 42140553451. The next prime is 42140553551. The reversal of 42140553541 is 14535504124.

It can be written as a sum of positive squares in 4 ways, for example, as 2331924100 + 39808629441 = 48290^2 + 199521^2 .

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 42140553541 - 29 = 42140553029 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 42140553497 and 42140553506.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42140553551) 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 7 ways as a sum of consecutive naturals, for example, 1018245 + ... + 1058821.

It is an arithmetic number, because the mean of its divisors is an integer number (5295976803).

Almost surely, 242140553541 is an apocalyptic number.

It is an amenable number.

42140553541 is a deficient number, since it is larger than the sum of its proper divisors (227260883).

42140553541 is a wasteful number, since it uses less digits than its factorization.

42140553541 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46151.

The product of its (nonzero) digits is 48000, while the sum is 34.

The spelling of 42140553541 in words is "forty-two billion, one hundred forty million, five hundred fifty-three thousand, five hundred forty-one".

Divisors: 1 193 5381 40577 1038533 7831361 218344837 42140553541