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243234502034040 = 23345116824761561
BaseRepresentation
bin110111010011100001110010…
…000101110100001001111000
31011220012222202122202221220000
4313103201302011310021320
5223340123230010042130
62221152215421433000
7102143053465133106
oct6723416205641170
91156188678687800
10243234502034040
117055819a319110
122334458670b760
13a594bb86a705a
14440c8813dac76
151d1c14a93e260
hexdd3872174278

243234502034040 has 160 divisors (see below), whose sum is σ = 891859840922160. Its totient is φ = 58965939878400.

The previous prime is 243234502034003. The next prime is 243234502034047. The reversal of 243234502034040 is 40430205432342.

243234502034040 is a `hidden beast` number, since 2 + 4 + 3 + 2 + 3 + 45 + 0 + 203 + 404 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 243234502033986 and 243234502034004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (243234502034047) 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 39 ways as a sum of consecutive naturals, for example, 3412345141 + ... + 3412416420.

Almost surely, 2243234502034040 is an apocalyptic number.

243234502034040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

243234502034040 is an abundant number, since it is smaller than the sum of its proper divisors (648625338888120).

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

243234502034040 is a wasteful number, since it uses less digits than its factorization.

243234502034040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6824761595 (or 6824761582 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 36.

Adding to 243234502034040 its reverse (40430205432342), we get a palindrome (283664707466382).

The spelling of 243234502034040 in words is "two hundred forty-three trillion, two hundred thirty-four billion, five hundred two million, thirty-four thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 11 12 15 18 20 22 24 27 30 33 36 40 44 45 54 55 60 66 72 81 88 90 99 108 110 120 132 135 162 165 180 198 216 220 264 270 297 324 330 360 396 405 440 495 540 594 648 660 792 810 891 990 1080 1188 1320 1485 1620 1782 1980 2376 2970 3240 3564 3960 4455 5940 7128 8910 11880 17820 35640 6824761561 13649523122 20474284683 27299046244 34123807805 40948569366 54598092488 61422854049 68247615610 75072377171 81897138732 102371423415 122845708098 136495231220 150144754342 163794277464 184268562147 204742846830 225217131513 245691416196 272990462440 300289508684 307114270245 368537124294 375361885855 409485693660 450434263026 491382832392 552805686441 600579017368 614228540490 675651394539 737074248588 750723771710 818971387320 900868526052 921342810735 1105611372882 1126085657565 1228457080980 1351302789078 1474148497176 1501447543420 1801737052104 1842685621470 2026954183617 2211222745764 2252171315130 2456914161960 2702605578156 2764028432205 3002895086840 3378256972695 3685371242940 4053908367234 4422445491528 4504342630260 5405211156312 5528056864410 6080862550851 6756513945390 7370742485880 8107816734468 9008685260520 10134770918085 11056113728820 12161725101702 13513027890780 16215633468936 20269541836170 22112227457640 24323450203404 27026055781560 30404312754255 40539083672340 48646900406808 60808625508510 81078167344680 121617251017020 243234502034040