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242430441320040 = 233512771582031071
BaseRepresentation
bin110111000111110100111100…
…010101100110111001101000
31011210101010100021200120111120
4313013310330111212321220
5223233440020434220130
62215335001322055240
7102031010222624541
oct6707647425467150
91153333307616446
10242430441320040
1170278199a81936
122323478834a520
13a53712836c03c
1443c19a5a394c8
151d0628add2910
hexdc7d3c566e68

242430441320040 has 64 divisors (see below), whose sum is σ = 727860855605760. Its totient is φ = 64597492650240.

The previous prime is 242430441320033. The next prime is 242430441320099. The reversal of 242430441320040 is 40023144034242.

It is a junction number, because it is equal to n+sod(n) for n = 242430441319983 and 242430441320010.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 790862296 + ... + 791168775.

It is an arithmetic number, because the mean of its divisors is an integer number (11372825868840).

Almost surely, 2242430441320040 is an apocalyptic number.

242430441320040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

242430441320040 is an abundant number, since it is smaller than the sum of its proper divisors (485430414285720).

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

242430441320040 is a wasteful number, since it uses less digits than its factorization.

242430441320040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1582032362 (or 1582032358 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 33.

Adding to 242430441320040 its reverse (40023144034242), we get a palindrome (282453585354282).

The spelling of 242430441320040 in words is "two hundred forty-two trillion, four hundred thirty billion, four hundred forty-one million, three hundred twenty thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 1277 2554 3831 5108 6385 7662 10216 12770 15324 19155 25540 30648 38310 51080 76620 153240 1582031071 3164062142 4746093213 6328124284 7910155355 9492186426 12656248568 15820310710 18984372852 23730466065 31640621420 37968745704 47460932130 63281242840 94921864260 189843728520 2020253677667 4040507355334 6060761033001 8081014710668 10101268388335 12121522066002 16162029421336 20202536776670 24243044132004 30303805165005 40405073553340 48486088264008 60607610330010 80810147106680 121215220660020 242430441320040