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42132442001 = 1313723656621
BaseRepresentation
bin100111001111010010…
…100000101110010001
311000202021121210222212
4213033102200232101
51142241401121001
631204432241505
73021036563606
oct471722405621
9130667553885
1042132442001
1116960735301
1281ba0a0295
133c85abba70
1420798a06ad
151168d0b7bb
hex9cf4a0b91

42132442001 has 8 divisors (see below), whose sum is σ = 45704593704. Its totient is φ = 38607603840.

The previous prime is 42132441973. The next prime is 42132442003. The reversal of 42132442001 is 10024423124.

It can be written as a sum of positive squares in 4 ways, for example, as 5290000 + 42127152001 = 2300^2 + 205249^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a de Polignac number, because none of the positive numbers 2k-42132442001 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (42132442003) 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, 11826530 + ... + 11830091.

It is an arithmetic number, because the mean of its divisors is an integer number (5713074213).

Almost surely, 242132442001 is an apocalyptic number.

It is an amenable number.

42132442001 is a deficient number, since it is larger than the sum of its proper divisors (3572151703).

42132442001 is a wasteful number, since it uses less digits than its factorization.

42132442001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23656771.

The product of its (nonzero) digits is 1536, while the sum is 23.

Adding to 42132442001 its reverse (10024423124), we get a palindrome (52156865125).

The spelling of 42132442001 in words is "forty-two billion, one hundred thirty-two million, four hundred forty-two thousand, one".

Divisors: 1 13 137 1781 23656621 307536073 3240957077 42132442001