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42211311114 = 23743167173809
BaseRepresentation
bin100111010011111111…
…010111111000001010
311000221210000210002010
4213103333113320022
51142422043423424
631220330520350
73023015136660
oct472377277012
9130853023063
1042211311114
11169a1203895
1282205960b6
133c9924448b
142086150c30
151170bda229
hex9d3fd7e0a

42211311114 has 128 divisors (see below), whose sum is σ = 100015534080. Its totient is φ = 11627288064.

The previous prime is 42211311113. The next prime is 42211311143. The reversal of 42211311114 is 41111311224.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (42211311113) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 52176742 + ... + 52177550.

It is an arithmetic number, because the mean of its divisors is an integer number (781371360).

Almost surely, 242211311114 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42211311114, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50007767040).

42211311114 is an abundant number, since it is smaller than the sum of its proper divisors (57804222966).

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

42211311114 is a wasteful number, since it uses less digits than its factorization.

42211311114 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1204.

The product of its digits is 192, while the sum is 21.

Adding to 42211311114 its reverse (41111311224), we get a palindrome (83322622338).

The spelling of 42211311114 in words is "forty-two billion, two hundred eleven million, three hundred eleven thousand, one hundred fourteen".

Divisors: 1 2 3 6 7 14 21 42 43 86 129 167 173 258 301 334 346 501 519 602 809 903 1002 1038 1169 1211 1618 1806 2338 2422 2427 3507 3633 4854 5663 7014 7181 7266 7439 11326 14362 14878 16989 21543 22317 28891 33978 34787 43086 44634 50267 52073 57782 69574 86673 100534 104146 104361 135103 139957 150801 156219 173346 202237 208722 243509 270206 279914 301602 312438 404474 405309 419871 487018 606711 730527 810618 839742 945721 979699 1213422 1242313 1461054 1891442 1959398 2484626 2837163 2939097 3726939 5674326 5809429 5878194 6018151 7453878 8696191 11618858 12036302 17392382 17428287 18054453 23372819 26088573 34856574 36108906 40666003 42127057 46745638 52177146 70118457 81332006 84254114 121998009 126381171 140236914 163609733 243996018 252762342 327219466 490829199 981658398 1005031217 2010062434 3015093651 6030187302 7035218519 14070437038 21105655557 42211311114