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242430100040 = 23517356514853
BaseRepresentation
bin1110000111000111110…
…1011100001001001000
3212011202101000002120002
43201301331130021020
512432444101200130
6303212034222132
723341433564402
oct3416175341110
9764671002502
10242430100040
11938a5520387
123ab99424948
1319b26998a4b
14ba3b305b72
15648d47ab45
hex3871f5c248

242430100040 has 32 divisors (see below), whose sum is σ = 577554063480. Its totient is φ = 91267802112.

The previous prime is 242430100007. The next prime is 242430100061. The reversal of 242430100040 is 40001034242.

It can be written as a sum of positive squares in 4 ways, for example, as 233662024996 + 8768075044 = 483386^2 + 93638^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 242430099985 and 242430100021.

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, 178256747 + ... + 178258106.

Almost surely, 2242430100040 is an apocalyptic number.

242430100040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

242430100040 is an abundant number, since it is smaller than the sum of its proper divisors (335123963440).

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

242430100040 is a wasteful number, since it uses less digits than its factorization.

242430100040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 356514881 (or 356514877 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

Adding to 242430100040 its reverse (40001034242), we get a palindrome (282431134282).

The spelling of 242430100040 in words is "two hundred forty-two billion, four hundred thirty million, one hundred thousand, forty".

Divisors: 1 2 4 5 8 10 17 20 34 40 68 85 136 170 340 680 356514853 713029706 1426059412 1782574265 2852118824 3565148530 6060752501 7130297060 12121505002 14260594120 24243010004 30303762505 48486020008 60607525010 121215050020 242430100040