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42131542545 = 3254353410819
BaseRepresentation
bin100111001111001111…
…000101001000010001
311000202012221010011200
4213033033011020101
51142241133330140
631204401101413
73021026126361
oct471717051021
9130665833150
1042131542545
1116960180554
1281b9927869
133c85865541
1420797089a1
151168bd0030
hex9cf3c5211

42131542545 has 48 divisors (see below), whose sum is σ = 76136448960. Its totient is φ = 21533436288.

The previous prime is 42131542529. The next prime is 42131542549. The reversal of 42131542545 is 54524513124.

42131542545 is a `hidden beast` number, since 4 + 213 + 15 + 425 + 4 + 5 = 666.

It is not a de Polignac number, because 42131542545 - 24 = 42131542529 is a prime.

It is a super-2 number, since 2×421315425452 (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (42131542549) 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 47 ways as a sum of consecutive naturals, for example, 102855 + ... + 307964.

It is an arithmetic number, because the mean of its divisors is an integer number (1586176020).

Almost surely, 242131542545 is an apocalyptic number.

42131542545 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

42131542545 is a deficient number, since it is larger than the sum of its proper divisors (34004906415).

42131542545 is a wasteful number, since it uses less digits than its factorization.

42131542545 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 410926 (or 410923 counting only the distinct ones).

The product of its digits is 96000, while the sum is 36.

The spelling of 42131542545 in words is "forty-two billion, one hundred thirty-one million, five hundred forty-two thousand, five hundred forty-five".

Divisors: 1 3 5 9 15 43 45 53 129 159 215 265 387 477 645 795 1935 2279 2385 6837 11395 20511 34185 102555 410819 1232457 2054095 3697371 6162285 17665217 18486855 21773407 52995651 65320221 88326085 108867035 158986953 195960663 264978255 326601105 794934765 936256501 979803315 2808769503 4681282505 8426308509 14043847515 42131542545