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242335143040 = 275401944261
BaseRepresentation
bin1110000110110001001…
…1001101010010000000
3212011111202022210001011
43201230103031102000
512432300244034130
6303154403050304
723336201505004
oct3415423152200
9764452283034
10242335143040
1193856963821
123ab71670994
1319b100cc783
14ba2c868704
156484e7052a
hex386c4cd480

242335143040 has 64 divisors (see below), whose sum is σ = 580777785720. Its totient is φ = 96692224000.

The previous prime is 242335143013. The next prime is 242335143053. The reversal of 242335143040 is 40341533242.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 235892833344 + 6442309696 = 485688^2 + 80264^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 242335142993 and 242335143011.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 215491 + ... + 728770.

Almost surely, 2242335143040 is an apocalyptic number.

242335143040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

242335143040 is an abundant number, since it is smaller than the sum of its proper divisors (338442642680).

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

242335143040 is an equidigital number, since it uses as much as digits as its factorization.

242335143040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 944681 (or 944669 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 31.

Adding to 242335143040 its reverse (40341533242), we get a palindrome (282676676282).

The spelling of 242335143040 in words is "two hundred forty-two billion, three hundred thirty-five million, one hundred forty-three thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 320 401 640 802 1604 2005 3208 4010 6416 8020 12832 16040 25664 32080 51328 64160 128320 256640 944261 1888522 3777044 4721305 7554088 9442610 15108176 18885220 30216352 37770440 60432704 75540880 120865408 151081760 302163520 378648661 604327040 757297322 1514594644 1893243305 3029189288 3786486610 6058378576 7572973220 12116757152 15145946440 24233514304 30291892880 48467028608 60583785760 121167571520 242335143040