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242342210440 = 235111813042971
BaseRepresentation
bin1110000110110010111…
…0001010101110001000
3212011112020121211200201
43201230232022232020
512432304101213230
6303155214341544
723336315541451
oct3415456125610
9764466554621
10242342210440
119385a950650
123ab73aba8b4
1319b11705575
14ba2d788128
1564858b95ca
hex386cb8ab88

242342210440 has 64 divisors (see below), whose sum is σ = 598126576320. Its totient is φ = 87637536000.

The previous prime is 242342210371. The next prime is 242342210441. The reversal of 242342210440 is 44012243242.

It is a junction number, because it is equal to n+sod(n) for n = 242342210399 and 242342210408.

It is not an unprimeable number, because it can be changed into a prime (242342210441) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1441846 + ... + 1601125.

It is an arithmetic number, because the mean of its divisors is an integer number (9345727755).

Almost surely, 2242342210440 is an apocalyptic number.

242342210440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

242342210440 is an abundant number, since it is smaller than the sum of its proper divisors (355784365880).

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

242342210440 is a wasteful number, since it uses less digits than its factorization.

242342210440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3043174 (or 3043170 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 28.

Adding to 242342210440 its reverse (44012243242), we get a palindrome (286354453682).

The spelling of 242342210440 in words is "two hundred forty-two billion, three hundred forty-two million, two hundred ten thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 181 220 362 440 724 905 1448 1810 1991 3620 3982 7240 7964 9955 15928 19910 39820 79640 3042971 6085942 12171884 15214855 24343768 30429710 33472681 60859420 66945362 121718840 133890724 167363405 267781448 334726810 550777751 669453620 1101555502 1338907240 2203111004 2753888755 4406222008 5507777510 6058555261 11015555020 12117110522 22031110040 24234221044 30292776305 48468442088 60585552610 121171105220 242342210440