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243132454040 = 2357868330193
BaseRepresentation
bin1110001001101111010…
…0101101010010011000
3212020120022121101010012
43202123310231102120
512440413402012130
6303405444141052
723365022521610
oct3423364552230
9766508541105
10243132454040
1194125a28333
123b154697788
1319c09350728
14baa66d3a40
1564cee65995
hex389bd2d498

243132454040 has 32 divisors (see below), whose sum is σ = 625197739680. Its totient is φ = 83359698432.

The previous prime is 243132454021. The next prime is 243132454063. The reversal of 243132454040 is 40454231342.

243132454040 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×2431324540403 (a number of 35 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 243132453988 and 243132454006.

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 7 ways as a sum of consecutive naturals, for example, 434164817 + ... + 434165376.

It is an arithmetic number, because the mean of its divisors is an integer number (19537429365).

Almost surely, 2243132454040 is an apocalyptic number.

243132454040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

243132454040 is an abundant number, since it is smaller than the sum of its proper divisors (382065285640).

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

243132454040 is a wasteful number, since it uses less digits than its factorization.

243132454040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 868330211 (or 868330207 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 32.

Adding to 243132454040 its reverse (40454231342), we get a palindrome (283586685382).

The spelling of 243132454040 in words is "two hundred forty-three billion, one hundred thirty-two million, four hundred fifty-four thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 280 868330193 1736660386 3473320772 4341650965 6078311351 6946641544 8683301930 12156622702 17366603860 24313245404 30391556755 34733207720 48626490808 60783113510 121566227020 243132454040