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141241334234 = 271121349912853
BaseRepresentation
bin1000001110001010100…
…0111011100111011010
3111111120100111012012012
42003202220323213122
54303230240143414
6144515123545522
713130043350360
oct2034250734732
9444510435165
10141241334234
115499a061a00
122345952b2a2
131041bac93b0
146b9c43b630
153a19bc433e
hex20e2a3b9da

141241334234 has 96 divisors (see below), whose sum is σ = 287209776000. Its totient is φ = 50690344320.

The previous prime is 141241334191. The next prime is 141241334287. The reversal of 141241334234 is 432433142141.

141241334234 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1412413342342 (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 141241334234.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 10982552 + ... + 10995404.

It is an arithmetic number, because the mean of its divisors is an integer number (2991768500).

Almost surely, 2141241334234 is an apocalyptic number.

141241334234 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

141241334234 is an abundant number, since it is smaller than the sum of its proper divisors (145968441766).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

141241334234 is a wasteful number, since it uses less digits than its factorization.

141241334234 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13396 (or 13385 counting only the distinct ones).

The product of its digits is 27648, while the sum is 32.

Adding to 141241334234 its reverse (432433142141), we get a palindrome (573674476375).

The spelling of 141241334234 in words is "one hundred forty-one billion, two hundred forty-one million, three hundred thirty-four thousand, two hundred thirty-four".

Divisors: 1 2 7 11 13 14 22 26 77 91 121 143 154 182 242 286 499 847 998 1001 1573 1694 2002 3146 3493 5489 6487 6986 10978 11011 12853 12974 22022 25706 38423 45409 60379 71357 76846 89971 90818 120758 141383 142714 167089 179942 282766 334178 422653 499499 784927 845306 989681 998998 1169623 1555213 1569854 1837979 1979362 2339246 3110426 3675958 5494489 6413647 10886491 10988978 12827294 12865853 20217769 21772982 25731706 40435538 44895529 70550117 83377411 89791058 141100234 141524383 166754822 283048766 493850819 583641877 776051287 917151521 987701638 1167283754 1552102574 1834303042 5432359009 6420060647 10088666731 10864718018 12840121294 20177333462 70620667117 141241334234