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42004132031 = 313314093571
BaseRepresentation
bin100111000111101001…
…000011000010111111
311000102100011222210202
4213013221003002333
51142011024211111
631144010154115
73014621142221
oct470751030277
9130370158722
1042004132031
11168a5268104
12818312293b
133c653455c4
142066820411
15115c913b3b
hex9c7a430bf

42004132031 has 8 divisors (see below), whose sum is σ = 43490108928. Its totient is φ = 40526343000.

The previous prime is 42004132013. The next prime is 42004132043. The reversal of 42004132031 is 13023140024.

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 42004132031 - 210 = 42004131007 is a prime.

It is a super-2 number, since 2×420041320312 (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 42004131994 and 42004132012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42004132061) 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, 2036525 + ... + 2057046.

It is an arithmetic number, because the mean of its divisors is an integer number (5436263616).

Almost surely, 242004132031 is an apocalyptic number.

42004132031 is a deficient number, since it is larger than the sum of its proper divisors (1485976897).

42004132031 is a wasteful number, since it uses less digits than its factorization.

42004132031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4093933.

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 42004132031 its reverse (13023140024), we get a palindrome (55027272055).

The spelling of 42004132031 in words is "forty-two billion, four million, one hundred thirty-two thousand, thirty-one".

Divisors: 1 31 331 10261 4093571 126900701 1354972001 42004132031