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42240234420 = 22325416785427
BaseRepresentation
bin100111010101101101…
…101101001110110100
311001000210110020101200
4213111231231032310
51143002000000140
631223242452500
73023516032326
oct472555551664
9131023406350
1042240234420
1116a0656934a
12822a204130
133ca2230367
142089d1d616
151173500030
hex9d5b6d3b4

42240234420 has 144 divisors (see below), whose sum is σ = 133214372928. Its totient is φ = 10825182720.

The previous prime is 42240234397. The next prime is 42240234437. The reversal of 42240234420 is 2443204224.

42240234420 is a `hidden beast` number, since 4 + 2 + 2 + 4 + 0 + 234 + 420 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 451747 + ... + 537173.

It is an arithmetic number, because the mean of its divisors is an integer number (925099812).

Almost surely, 242240234420 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42240234420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66607186464).

42240234420 is an abundant number, since it is smaller than the sum of its proper divisors (90974138508).

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

42240234420 is a wasteful number, since it uses less digits than its factorization.

42240234420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85550 (or 85545 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 27.

Adding to 42240234420 its reverse (2443204224), we get a palindrome (44683438644).

The spelling of 42240234420 in words is "forty-two billion, two hundred forty million, two hundred thirty-four thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 41 45 60 67 82 90 123 134 164 180 201 205 246 268 335 369 402 410 492 603 615 670 738 804 820 1005 1206 1230 1340 1476 1845 2010 2412 2460 2747 3015 3690 4020 5494 6030 7380 8241 10988 12060 13735 16482 24723 27470 32964 41205 49446 54940 82410 85427 98892 123615 164820 170854 247230 256281 341708 427135 494460 512562 768843 854270 1025124 1281405 1537686 1708540 2562810 3075372 3502507 3844215 5125620 5723609 7005014 7688430 10507521 11447218 14010028 15376860 17170827 17512535 21015042 22894436 28618045 31522563 34341654 35025070 42030084 51512481 52537605 57236090 63045126 68683308 70050140 85854135 103024962 105075210 114472180 126090252 157612815 171708270 206049924 210150420 234667969 257562405 315225630 343416540 469335938 515124810 630451260 704003907 938671876 1030249620 1173339845 1408007814 2112011721 2346679690 2816015628 3520019535 4224023442 4693359380 7040039070 8448046884 10560058605 14080078140 21120117210 42240234420