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4042212240234 = 2371738975119379
BaseRepresentation
bin111010110100100110100…
…111111110101101101010
3112022102122201110200112010
4322310212213332231222
51012211422313141414
612332544444500350
7565016534062650
oct72644647765552
915272581420463
104042212240234
11131932447a523
125534a884a6b6
132342432a6a8c
14dd903652dd0
1570231cca959
hex3ad269feb6a

4042212240234 has 128 divisors (see below), whose sum is σ = 9821548339200. Its totient is φ = 1082687616000.

The previous prime is 4042212240133. The next prime is 4042212240259. The reversal of 4042212240234 is 4320422122404.

It is a happy number.

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, 208577557 + ... + 208596935.

It is an arithmetic number, because the mean of its divisors is an integer number (76730846400).

Almost surely, 24042212240234 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4042212240234, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4910774169600).

4042212240234 is an abundant number, since it is smaller than the sum of its proper divisors (5779336098966).

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

4042212240234 is a wasteful number, since it uses less digits than its factorization.

4042212240234 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20548.

The product of its (nonzero) digits is 24576, while the sum is 30.

Adding to 4042212240234 its reverse (4320422122404), we get a palindrome (8362634362638).

The spelling of 4042212240234 in words is "four trillion, forty-two billion, two hundred twelve million, two hundred forty thousand, two hundred thirty-four".

Divisors: 1 2 3 6 7 14 17 21 34 42 51 102 119 238 357 389 714 751 778 1167 1502 2253 2334 2723 4506 5257 5446 6613 8169 10514 12767 13226 15771 16338 19379 19839 25534 31542 38301 38758 39678 46291 58137 76602 89369 92582 116274 135653 138873 178738 268107 271306 277746 292139 329443 406959 536214 584278 658886 813918 876417 988329 1752834 1976658 2044973 2306101 4089946 4612202 4966363 6134919 6918303 7538431 9932726 12269838 13836606 14553629 14899089 15076862 22615293 29107258 29798178 34764541 43660887 45230586 52769017 69529082 87321774 101875403 104293623 105538034 128153327 158307051 203750806 208587246 247411693 256306654 305626209 316614102 384459981 494823386 611252418 742235079 768919962 897073289 1484470158 1731881851 1794146578 2691219867 3463763702 5195645553 5382439734 5661361681 10391291106 11322723362 16984085043 33968170086 39629531767 79259063534 96243148577 118888595301 192486297154 237777190602 288729445731 577458891462 673702040039 1347404080078 2021106120117 4042212240234