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42123213440041 = 107233244316369
BaseRepresentation
bin10011001001111100100110…
…01011001000010000101001
312112010221101011121010210211
421210332103023020100221
521010121320120040131
6225331045340541121
711605205332362046
oct1144762313102051
9175127334533724
1042123213440041
1112470399923048
124883916b517a1
131a672819ac2b6
14a58abad981cd
154d0ac4d555b1
hex264f932c8429

42123213440041 has 24 divisors (see below), whose sum is σ = 42799150487520. Its totient is φ = 41454115862016.

The previous prime is 42123213440027. The next prime is 42123213440111. The reversal of 42123213440041 is 14004431232124.

It is a happy number.

It is a de Polignac number, because none of the positive numbers 2k-42123213440041 is a prime.

It is a super-2 number, since 2×421232134400412 (a number of 28 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 = 42123213439985 and 42123213440012.

It is not an unprimeable number, because it can be changed into a prime (42123213440741) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2573344705 + ... + 2573361073.

It is an arithmetic number, because the mean of its divisors is an integer number (1783297936980).

Almost surely, 242123213440041 is an apocalyptic number.

It is an amenable number.

42123213440041 is a deficient number, since it is larger than the sum of its proper divisors (675937047479).

42123213440041 is a wasteful number, since it uses less digits than its factorization.

42123213440041 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17385 (or 17152 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 31.

Adding to 42123213440041 its reverse (14004431232124), we get a palindrome (56127644672165).

The spelling of 42123213440041 in words is "forty-two trillion, one hundred twenty-three billion, two hundred thirteen million, four hundred forty thousand, forty-one".

Divisors: 1 107 233 443 16369 24931 47401 54289 103219 1751483 3813977 5808923 7251467 11044433 24050027 408095539 775906969 888656641 1689591811 2573352889 95086260587 180786323777 393674891963 42123213440041