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242431440040 = 23534986320123
BaseRepresentation
bin1110000111001000001…
…0100011010010101000
3212011202110112011200201
43201302002203102220
512432444422040130
6303212123041544
723341451145166
oct3416202432250
9764673464621
10242431440040
11938a6256119
123ab999702b4
1319b2704794a
14ba3b574236
15648d642bca
hex38720a34a8

242431440040 has 64 divisors (see below), whose sum is σ = 547694784000. Its totient is φ = 96577873152.

The previous prime is 242431440037. The next prime is 242431440067. The reversal of 242431440040 is 40044134242.

It is a junction number, because it is equal to n+sod(n) for n = 242431439990 and 242431440008.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12037419 + ... + 12057541.

It is an arithmetic number, because the mean of its divisors is an integer number (8557731000).

Almost surely, 2242431440040 is an apocalyptic number.

242431440040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

242431440040 is an abundant number, since it is smaller than the sum of its proper divisors (305263343960).

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

242431440040 is a wasteful number, since it uses less digits than its factorization.

242431440040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21346 (or 21342 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 28.

Adding to 242431440040 its reverse (40044134242), we get a palindrome (282475574282).

The spelling of 242431440040 in words is "two hundred forty-two billion, four hundred thirty-one million, four hundred forty thousand, forty".

Divisors: 1 2 4 5 8 10 20 40 349 698 863 1396 1726 1745 2792 3452 3490 4315 6904 6980 8630 13960 17260 20123 34520 40246 80492 100615 160984 201230 301187 402460 602374 804920 1204748 1505935 2409496 3011870 6023740 7022927 12047480 14045854 17366149 28091708 34732298 35114635 56183416 69464596 70229270 86830745 138929192 140458540 173661490 280917080 347322980 694645960 6060786001 12121572002 24243144004 30303930005 48486288008 60607860010 121215720020 242431440040