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423330241424040 = 23345181721864541
BaseRepresentation
bin110000001000001000100000…
…0101010011010101010101000
32001111212222100101111102220000
41200100101000222122222220
5420441320313301032130
64100203121140303000
7155111413010006016
oct14020210052325250
92044788311442800
10423330241424040
111129823900a6135
123b5902a13a1a60
1315229b41584422
1476774160318b6
1533e1bcecce260
hex1810440a9aaa8

423330241424040 has 160 divisors (see below), whose sum is σ = 1430721084953160. Its totient is φ = 112264373260800.

The previous prime is 423330241424011. The next prime is 423330241424047. The reversal of 423330241424040 is 40424142033324.

423330241424040 is a `hidden beast` number, since 4 + 2 + 3 + 3 + 3 + 0 + 241 + 4 + 2 + 404 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 257308098762276 + 166022142661764 = 16040826^2 + 12884958^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 423330241423986 and 423330241424004.

It is not an unprimeable number, because it can be changed into a prime (423330241424047) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 360345831 + ... + 361518710.

Almost surely, 2423330241424040 is an apocalyptic number.

423330241424040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

423330241424040 is an abundant number, since it is smaller than the sum of its proper divisors (1007390843529120).

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

423330241424040 is a wasteful number, since it uses less digits than its factorization.

423330241424040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 721864745 (or 721864732 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 36.

Adding to 423330241424040 its reverse (40424142033324), we get a palindrome (463754383457364).

The spelling of 423330241424040 in words is "four hundred twenty-three trillion, three hundred thirty billion, two hundred forty-one million, four hundred twenty-four thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 81 90 108 120 135 162 180 181 216 270 324 360 362 405 540 543 648 724 810 905 1080 1086 1448 1620 1629 1810 2172 2715 3240 3258 3620 4344 4887 5430 6516 7240 8145 9774 10860 13032 14661 16290 19548 21720 24435 29322 32580 39096 48870 58644 65160 73305 97740 117288 146610 195480 293220 586440 721864541 1443729082 2165593623 2887458164 3609322705 4331187246 5774916328 6496780869 7218645410 8662374492 10827968115 12993561738 14437290820 17324748984 19490342607 21655936230 25987123476 28874581640 32483904345 38980685214 43311872460 51974246952 58471027821 64967808690 77961370428 86623744920 97451713035 116942055642 129935617380 130657481921 155922740856 194903426070 233884111284 259871234760 261314963842 292355139105 389806852140 391972445763 467768222568 522629927684 584710278210 653287409605 779613704280 783944891526 1045259855368 1169420556420 1175917337289 1306574819210 1567889783052 1959862228815 2338841112840 2351834674578 2613149638420 3135779566104 3527752011867 3919724457630 4703669349156 5226299276840 5879586686445 7055504023734 7839448915260 9407338698312 10583256035601 11759173372890 14111008047468 15678897830520 17638760059335 21166512071202 23518346745780 28222016094936 35277520118670 42333024142404 47036693491560 52916280178005 70555040237340 84666048284808 105832560356010 141110080474680 211665120712020 423330241424040