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242431041340 = 225101120015367
BaseRepresentation
bin1110000111001000000…
…1000001111100111100
3212011202102202220210001
43201302001001330330
512432444321310330
6303212110324044
723341444564615
oct3416201017474
9764672686701
10242431041340
11938a6003614
123ab997b9624
1319b26c38327
14ba3b4acc0c
15648d5b49ca
hex3872041f3c

242431041340 has 24 divisors (see below), whose sum is σ = 514145836512. Its totient is φ = 96012292800.

The previous prime is 242431041319. The next prime is 242431041341. The reversal of 242431041340 is 43140134242.

It is a junction number, because it is equal to n+sod(n) for n = 242431041299 and 242431041308.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242431041341) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 60005664 + ... + 60009703.

It is an arithmetic number, because the mean of its divisors is an integer number (21422743188).

Almost surely, 2242431041340 is an apocalyptic number.

242431041340 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

242431041340 is an abundant number, since it is smaller than the sum of its proper divisors (271714795172).

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

242431041340 is a wasteful number, since it uses less digits than its factorization.

242431041340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120015477 (or 120015475 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

Adding to 242431041340 its reverse (43140134242), we get a palindrome (285571175582).

The spelling of 242431041340 in words is "two hundred forty-two billion, four hundred thirty-one million, forty-one thousand, three hundred forty".

Divisors: 1 2 4 5 10 20 101 202 404 505 1010 2020 120015367 240030734 480061468 600076835 1200153670 2400307340 12121552067 24243104134 48486208268 60607760335 121215520670 242431041340