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114141110042214 = 234979643753257
BaseRepresentation
bin11001111100111110001100…
…010100010111111001100110
3112222010210011012200100110000
4121330332030110113321212
5104430041443132322324
61042431411351442130
733020265053221653
oct3174761424277146
9488123135610400
10114141110042214
1133406a77a6a062
121097538a986346
134b8c5ca917698
1420286600a2c2a
15d2e113aaa9c9
hex67cf8c517e66

114141110042214 has 80 divisors (see below), whose sum is σ = 258424482487248. Its totient is φ = 37650844320768.

The previous prime is 114141110042191. The next prime is 114141110042231. The reversal of 114141110042214 is 412240011141411.

It is a happy number.

114141110042214 is a `hidden beast` number, since 1 + 1 + 414 + 11 + 10 + 0 + 4 + 221 + 4 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 151153474 + ... + 151906730.

Almost surely, 2114141110042214 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 114141110042214, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129212241243624).

114141110042214 is an abundant number, since it is smaller than the sum of its proper divisors (144283372445034).

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

114141110042214 is an equidigital number, since it uses as much as digits as its factorization.

114141110042214 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 763011 (or 763002 counting only the distinct ones).

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

Adding to 114141110042214 its reverse (412240011141411), we get a palindrome (526381121183625).

The spelling of 114141110042214 in words is "one hundred fourteen trillion, one hundred forty-one billion, one hundred ten million, forty-two thousand, two hundred fourteen".

Divisors: 1 2 3 6 9 18 27 54 81 97 162 194 291 582 873 1746 2619 5238 7857 9643 15714 19286 28929 57858 86787 173574 260361 520722 753257 781083 935371 1506514 1562166 1870742 2259771 2806113 4519542 5612226 6779313 8418339 13558626 16836678 20337939 25255017 40675878 50510034 61013817 73065929 75765051 122027634 146131858 151530102 219197787 438395574 657593361 1315186722 1972780083 3945560166 5918340249 7263657251 11836680498 14527314502 21790971753 43581943506 65372915259 130745830518 196118745777 392237491554 588356237331 704574753347 1176712474662 1409149506694 2113724260041 4227448520082 6341172780123 12682345560246 19023518340369 38047036680738 57070555021107 114141110042214