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42432332243201 = 19314110601165749
BaseRepresentation
bin10011010010111100011000…
…00101110010000100000001
312120020111021012011100212022
421221132030011302010001
521030202404023240301
6230125051101411225
711636430515013365
oct1151361405620401
9176214235140768
1042432332243201
111257a4a63850aa
124913806269b15
131a8a475a86404
14a69a431d92a5
154d8b67d5bd1b
hex26978c172101

42432332243201 has 32 divisors (see below), whose sum is σ = 47235726720000. Its totient is φ = 37949662080000.

The previous prime is 42432332243167. The next prime is 42432332243251. The reversal of 42432332243201 is 10234223323424.

It is a cyclic number.

It is not a de Polignac number, because 42432332243201 - 210 = 42432332242177 is a prime.

It is a super-2 number, since 2×424323322432012 (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (42432332243251) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 255920675 + ... + 256086423.

It is an arithmetic number, because the mean of its divisors is an integer number (1476116460000).

Almost surely, 242432332243201 is an apocalyptic number.

42432332243201 is a gapful number since it is divisible by the number (41) formed by its first and last digit.

It is an amenable number.

42432332243201 is a deficient number, since it is larger than the sum of its proper divisors (4803394476799).

42432332243201 is a wasteful number, since it uses less digits than its factorization.

42432332243201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 176441.

The product of its (nonzero) digits is 165888, while the sum is 35.

Adding to 42432332243201 its reverse (10234223323424), we get a palindrome (52666555566625).

The spelling of 42432332243201 in words is "forty-two trillion, four hundred thirty-two billion, three hundred thirty-two million, two hundred forty-three thousand, two hundred one".

Divisors: 1 19 31 41 589 779 1271 10601 24149 165749 201419 328631 434641 3149231 5138219 6243989 6795709 8258179 13473871 97626161 129118471 210666979 256003549 1757105149 4002672601 33384997831 54470259619 72041311109 1034934932761 1368784911071 2233280644379 42432332243201