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243005375242044 = 2232311931583712711
BaseRepresentation
bin110111010000001100011001…
…000100011101111100111100
31011212102002100102021221012200
4313100030121010131330330
5223322400002030221134
62220455043411231500
7102120362506421142
oct6720143104357474
91155362312257180
10243005375242044
117047a001206a98
12233080a05a8590
13a579401b9871c
144401746c55592
151d161da379499
hexdd031911df3c

243005375242044 has 144 divisors (see below), whose sum is σ = 637767448141824. Its totient is φ = 77933299046400.

The previous prime is 243005375241973. The next prime is 243005375242127. The reversal of 243005375242044 is 440242573500342.

It is a happy number.

243005375242044 is a `hidden beast` number, since 2 + 4 + 3 + 0 + 0 + 537 + 52 + 4 + 20 + 44 = 666.

243005375242044 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2430053752420442 (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 340602849 + ... + 341315559.

It is an arithmetic number, because the mean of its divisors is an integer number (4428940612096).

Almost surely, 2243005375242044 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 243005375242044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (318883724070912).

243005375242044 is an abundant number, since it is smaller than the sum of its proper divisors (394762072899780).

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

243005375242044 is a wasteful number, since it uses less digits than its factorization.

243005375242044 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 714528 (or 714523 counting only the distinct ones).

The product of its (nonzero) digits is 3225600, while the sum is 45.

The spelling of 243005375242044 in words is "two hundred forty-three trillion, five billion, three hundred seventy-five million, two hundred forty-two thousand, forty-four".

Divisors: 1 2 3 4 6 9 12 18 31 36 62 93 124 186 193 279 372 386 558 579 772 1116 1158 1583 1737 2316 3166 3474 4749 5983 6332 6948 9498 11966 14247 17949 18996 23932 28494 35898 49073 53847 56988 71796 98146 107694 147219 196292 215388 294438 305519 441657 588876 611038 712711 883314 916557 1222076 1425422 1766628 1833114 2138133 2749671 2850844 3666228 4276266 5499342 6414399 8552532 9471089 10998684 12828798 18942178 22094041 25657596 28413267 37884356 44188082 56826534 66282123 85239801 88376164 113653068 132564246 137553223 170479602 198846369 265128492 275106446 340959204 397692738 412659669 550212892 795385476 825319338 1128221513 1237979007 1650638676 2256443026 2475958014 3384664539 4264149913 4512886052 4951916028 6769329078 8528299826 10153993617 12792449739 13538658156 17056599652 20307987234 25584899478 34974866903 38377349217 40615974468 51169798956 69949733806 76754698434 104924600709 139899467612 153509396868 209849201418 217746752009 314773802127 419698402836 435493504018 629547604254 653240256027 870987008036 1259095208508 1306480512054 1959720768081 2612961024108 3919441536162 6750149312279 7838883072324 13500298624558 20250447936837 27000597249116 40500895873674 60751343810511 81001791747348 121502687621022 243005375242044