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243213413414436 = 2232291571483841017
BaseRepresentation
bin110111010011001110001001…
…000111000111011000100100
31011220010222022221211002021200
4313103032021013013120210
5223334302032313230221
62221134411043242500
7102141406053622113
oct6723161107073044
91156128287732250
10243213413414436
117054a258348073
1223340480079430
13a592c0760470a
14440b8406d9c7a
151d1b814339426
hexdd33891c7624

243213413414436 has 72 divisors (see below), whose sum is σ = 640039984704120. Its totient is φ = 77777010694656.

The previous prime is 243213413414431. The next prime is 243213413414471. The reversal of 243213413414436 is 634414314312342.

243213413414436 is a `hidden beast` number, since 2 + 4 + 3 + 213 + 4 + 13 + 414 + 4 + 3 + 6 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 11891945340900 + 231321468073536 = 3448470^2 + 15209256^2 .

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 243213413414391 and 243213413414400.

It is not an unprimeable number, because it can be changed into a prime (243213413414431) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 741756601 + ... + 742084416.

Almost surely, 2243213413414436 is an apocalyptic number.

It is an amenable number.

243213413414436 is an abundant number, since it is smaller than the sum of its proper divisors (396826571289684).

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

243213413414436 is a wasteful number, since it uses less digits than its factorization.

243213413414436 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1483841213 (or 1483841208 counting only the distinct ones).

The product of its digits is 1990656, while the sum is 45.

Adding to 243213413414436 its reverse (634414314312342), we get a palindrome (877627727726778).

The spelling of 243213413414436 in words is "two hundred forty-three trillion, two hundred thirteen billion, four hundred thirteen million, four hundred fourteen thousand, four hundred thirty-six".

Divisors: 1 2 3 4 6 9 12 18 29 36 58 87 116 157 174 261 314 348 471 522 628 942 1044 1413 1884 2826 4553 5652 9106 13659 18212 27318 40977 54636 81954 163908 1483841017 2967682034 4451523051 5935364068 8903046102 13354569153 17806092204 26709138306 43031389493 53418276612 86062778986 129094168479 172125557972 232963039669 258188336958 387282505437 465926079338 516376673916 698889119007 774565010874 931852158676 1397778238014 1549130021748 2096667357021 2795556476028 4193334714042 6755928150401 8386669428084 13511856300802 20267784451203 27023712601604 40535568902406 60803353353609 81071137804812 121606706707218 243213413414436