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242240006460 = 22354053199611
BaseRepresentation
bin1110000110011010100…
…0010010100100111100
3212011021010022100012010
43201212220102210330
512432101420201320
6303141124011220
723333635036614
oct3414650224474
9764233270163
10242240006460
1193808194251
123ab45830b10
1319ac649c83a
14ba1dd81a44
15647b92bae0
hex3866a1293c

242240006460 has 48 divisors (see below), whose sum is σ = 678295562112. Its totient is φ = 64595092800.

The previous prime is 242240006453. The next prime is 242240006471. The reversal of 242240006460 is 64600042242.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 2382055 + ... + 2481665.

It is an arithmetic number, because the mean of its divisors is an integer number (14131157544).

Almost surely, 2242240006460 is an apocalyptic number.

242240006460 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

242240006460 is an abundant number, since it is smaller than the sum of its proper divisors (436055555652).

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

242240006460 is a wasteful number, since it uses less digits than its factorization.

242240006460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140154 (or 140152 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 30.

The spelling of 242240006460 in words is "two hundred forty-two billion, two hundred forty million, six thousand, four hundred sixty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 40531 81062 99611 121593 162124 199222 202655 243186 298833 398444 405310 486372 498055 597666 607965 810620 996110 1195332 1215930 1494165 1992220 2431860 2988330 5976660 4037333441 8074666882 12112000323 16149333764 20186667205 24224000646 40373334410 48448001292 60560001615 80746668820 121120003230 242240006460