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4142324394 = 2331379113661
BaseRepresentation
bin1111011011100110…
…1101101010101010
3101200200111212211000
43312321231222222
531440413340034
61523012215430
7204436114335
oct36671555252
911620455730
104142324394
11183626369a
1297730a576
13510263a30
142b420161c
151939da599
hexf6e6daaa

4142324394 has 128 divisors (see below), whose sum is σ = 10142899200. Its totient is φ = 1245404160.

The previous prime is 4142324369. The next prime is 4142324447. The reversal of 4142324394 is 4934232414.

4142324394 is a `hidden beast` number, since 414 + 232 + 4 + 3 + 9 + 4 = 666.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6266424 + ... + 6267084.

It is an arithmetic number, because the mean of its divisors is an integer number (79241400).

Almost surely, 24142324394 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4142324394, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5071449600).

4142324394 is an abundant number, since it is smaller than the sum of its proper divisors (6000574806).

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

4142324394 is a wasteful number, since it uses less digits than its factorization.

4142324394 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 877 (or 871 counting only the distinct ones).

The product of its digits is 82944, while the sum is 36.

The square root of 4142324394 is about 64360.8918055056. The cubic root of 4142324394 is about 1606.0092246425.

The spelling of 4142324394 in words is "four billion, one hundred forty-two million, three hundred twenty-four thousand, three hundred ninety-four".

Divisors: 1 2 3 6 9 13 18 26 27 39 54 78 79 113 117 158 226 234 237 339 351 474 661 678 702 711 1017 1027 1322 1422 1469 1983 2034 2054 2133 2938 3051 3081 3966 4266 4407 5949 6102 6162 8593 8814 8927 9243 11898 13221 17186 17847 17854 18486 25779 26442 26781 27729 35694 39663 51558 52219 53562 55458 74693 77337 79326 80343 104438 116051 149386 154674 156657 160686 224079 232011 232102 241029 313314 348153 448158 464022 469971 482058 672237 678847 696306 939942 971009 1044459 1344474 1357694 1409913 1942018 2016711 2036541 2088918 2819826 2913027 3133377 4033422 4073082 5826054 5900747 6109623 6266754 8739081 11801494 12219246 17478162 17702241 18328869 26217243 35404482 36657738 52434486 53106723 76709711 106213446 153419422 159320169 230129133 318640338 460258266 690387399 1380774798 2071162197 4142324394