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243342422440 = 23513617671577
BaseRepresentation
bin1110001010100001010…
…1101011000110101000
3212021002221200212121121
43202220111223012220
512441331130004230
6303442344345024
723403152314435
oct3425025530650
9767087625547
10243342422440
11942234a9737
123b1b2a75174
1319c409b80a0
14bac654cb8c
1564e35dd77a
hex38a856b1a8

243342422440 has 64 divisors (see below), whose sum is σ = 599303673360. Its totient is φ = 88376555520.

The previous prime is 243342422419. The next prime is 243342422443. The reversal of 243342422440 is 44224243342.

It can be written as a sum of positive squares in 8 ways, for example, as 374267716 + 242968154724 = 19346^2 + 492918^2 .

It is a junction number, because it is equal to n+sod(n) for n = 243342422396 and 243342422405.

It is not an unprimeable number, because it can be changed into a prime (243342422443) by changing a digit.

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, 3804069 + ... + 3867508.

Almost surely, 2243342422440 is an apocalyptic number.

243342422440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

243342422440 is an abundant number, since it is smaller than the sum of its proper divisors (355961250920).

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

243342422440 is a wasteful number, since it uses less digits than its factorization.

243342422440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7671662 (or 7671658 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 34.

Adding to 243342422440 its reverse (44224243342), we get a palindrome (287566665782).

The spelling of 243342422440 in words is "two hundred forty-three billion, three hundred forty-two million, four hundred twenty-two thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 61 65 104 122 130 244 260 305 488 520 610 793 1220 1586 2440 3172 3965 6344 7930 15860 31720 7671577 15343154 30686308 38357885 61372616 76715770 99730501 153431540 199461002 306863080 398922004 467966197 498652505 797844008 935932394 997305010 1871864788 1994610020 2339830985 3743729576 3989220040 4679661970 6083560561 9359323940 12167121122 18718647880 24334242244 30417802805 48668484488 60835605610 121671211220 243342422440