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42142101411141 = 3329109349241839
BaseRepresentation
bin10011001010011111110001…
…11111000001010101000101
312112012202010111122111012000
421211033320333001111011
521010424010430124031
6225343451503415513
711606444362443144
oct1145177077012505
9175182114574160
1042142101411141
1112478401671316
1248875085b4599
131a68ca1b84064
14a5998d6cd75b
154d132d1613e6
hex2653f8fc1545

42142101411141 has 32 divisors (see below), whose sum is σ = 64644687552000. Its totient is φ = 27101131896384.

The previous prime is 42142101411019. The next prime is 42142101411143. The reversal of 42142101411141 is 14111410124124.

It is a happy number.

42142101411141 is a `hidden beast` number, since 4 + 2 + 1 + 4 + 2 + 101 + 411 + 141 = 666.

It is not a de Polignac number, because 42142101411141 - 27 = 42142101411013 is a prime.

It is a super-2 number, since 2×421421014111412 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42142101411143) 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, 23765101 + ... + 25476738.

It is an arithmetic number, because the mean of its divisors is an integer number (2020146486000).

Almost surely, 242142101411141 is an apocalyptic number.

It is an amenable number.

42142101411141 is a deficient number, since it is larger than the sum of its proper divisors (22502586140859).

42142101411141 is a wasteful number, since it uses less digits than its factorization.

42142101411141 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49242970 (or 49242964 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 27.

Adding to 42142101411141 its reverse (14111410124124), we get a palindrome (56253511535265).

The spelling of 42142101411141 in words is "forty-two trillion, one hundred forty-two billion, one hundred one million, four hundred eleven thousand, one hundred forty-one".

Divisors: 1 3 9 27 29 87 261 783 1093 3279 9837 29511 31697 95091 285273 855819 49241839 147725517 443176551 1329529653 1428013331 4284039993 12852119979 38556359937 53821330027 161463990081 484391970243 1453175910729 1560818570783 4682455712349 14047367137047 42142101411141