Search a number
-
+
114350054524134 = 2311132331409405959
BaseRepresentation
bin11010000000000000110010…
…011000010100010011100110
3112222212202110220120210110120
4122000000302120110103212
5104442002402424233014
61043111405001102410
733041342644060512
oct3200006230242346
9488782426523416
10114350054524134
1133487649751980
12109a9981a87a06
134ba6219048bc0
142034802067142
15d347923e1ba9
hex6800326144e6

114350054524134 has 128 divisors (see below), whose sum is σ = 270027963878400. Its totient is φ = 31826067947520.

The previous prime is 114350054524133. The next prime is 114350054524159. The reversal of 114350054524134 is 431425450053411.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114350054524133) 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, 281475847 + ... + 281881805.

It is an arithmetic number, because the mean of its divisors is an integer number (2109593467800).

Almost surely, 2114350054524134 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 114350054524134, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135013981939200).

114350054524134 is an abundant number, since it is smaller than the sum of its proper divisors (155677909354266).

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

114350054524134 is a wasteful number, since it uses less digits than its factorization.

114350054524134 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 407630.

The product of its (nonzero) digits is 576000, while the sum is 42.

The spelling of 114350054524134 in words is "one hundred fourteen trillion, three hundred fifty billion, fifty-four million, five hundred twenty-four thousand, one hundred thirty-four".

Divisors: 1 2 3 6 11 13 22 26 33 39 66 78 143 233 286 429 466 699 858 1398 1409 2563 2818 3029 4227 5126 6058 7689 8454 9087 15378 15499 18174 18317 30998 33319 36634 46497 54951 66638 92994 99957 109902 199914 201487 328297 402974 405959 604461 656594 811918 984891 1208922 1217877 1969782 2435754 3611267 4267861 4465549 5277467 7222534 8535722 8931098 10554934 10833801 12803583 13396647 15832401 21667602 25607166 26793294 31664802 46946471 58052137 93892942 94588447 116104274 140839413 174156411 189176894 281678826 283765341 348312822 567530682 571996231 1040472917 1143992462 1229649811 1715988693 2080945834 2459299622 3121418751 3431977386 3688949433 6242837502 6291958541 7377898866 7435951003 12583917082 13526147921 14871902006 18875875623 22307853009 27052295842 37751751246 40578443763 44615706018 81156887526 81795461033 133275121823 163590922066 245386383099 266550243646 399825365469 490772766198 799650730938 1466026340053 1732576583699 2932052680106 3465153167398 4398079020159 5197729751097 8796158040318 10395459502194 19058342420689 38116684841378 57175027262067 114350054524134