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242414434040 = 2356060360851
BaseRepresentation
bin1110000111000100000…
…1101011011011111000
3212011201021112011211212
43201301001223123320
512432431043342130
6303210314342252
723341153456052
oct3416101533370
9764637464755
10242414434040
11938976a0279
123ab9412a988
1319b2367221c
14ba391c88d2
15648bdd3e95
hex387106b6f8

242414434040 has 16 divisors (see below), whose sum is σ = 545432476680. Its totient is φ = 96965773600.

The previous prime is 242414434001. The next prime is 242414434109. The reversal of 242414434040 is 40434414242.

242414434040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 242414433988 and 242414434006.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3030180386 + ... + 3030180465.

Almost surely, 2242414434040 is an apocalyptic number.

242414434040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

242414434040 is an abundant number, since it is smaller than the sum of its proper divisors (303018042640).

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

242414434040 is a wasteful number, since it uses less digits than its factorization.

242414434040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6060360862 (or 6060360858 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 32.

Adding to 242414434040 its reverse (40434414242), we get a palindrome (282848848282).

The spelling of 242414434040 in words is "two hundred forty-two billion, four hundred fourteen million, four hundred thirty-four thousand, forty".

Divisors: 1 2 4 5 8 10 20 40 6060360851 12120721702 24241443404 30301804255 48482886808 60603608510 121207217020 242414434040