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331143424112340 = 2235579733786717
BaseRepresentation
bin100101101001011000101011…
…0001010011111011011010100
31121102111000001120211120200000
41023102301112022133123110
5321400423213033043330
63132141104450251300
7126515215514566410
oct11322612612373324
91542430046746600
10331143424112340
1196570157024914
1231181992886b30
13112a08c9bba858
145bab5da4ddd40
152843c014dc560
hex12d2c5629f6d4

331143424112340 has 144 divisors (see below), whose sum is σ = 1190481050758272. Its totient is φ = 75689925503616.

The previous prime is 331143424112329. The next prime is 331143424112351. The reversal of 331143424112340 is 43211424341133.

331143424112340 is a `hidden beast` number, since 3 + 3 + 1 + 1 + 4 + 3 + 4 + 2 + 411 + 234 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (331143424112329) and next prime (331143424112351).

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 = 331143424112295 and 331143424112304.

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, 4866859339 + ... + 4866927378.

Almost surely, 2331143424112340 is an apocalyptic number.

331143424112340 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

331143424112340 is an abundant number, since it is smaller than the sum of its proper divisors (859337626645932).

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

331143424112340 is a wasteful number, since it uses less digits than its factorization.

331143424112340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9733786748 (or 9733786734 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

Adding to 331143424112340 its reverse (43211424341133), we get a palindrome (374354848453473).

The spelling of 331143424112340 in words is "three hundred thirty-one trillion, one hundred forty-three billion, four hundred twenty-four million, one hundred twelve thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 27 28 30 35 36 42 45 54 60 63 70 81 84 90 105 108 126 135 140 162 180 189 210 243 252 270 315 324 378 405 420 486 540 567 630 756 810 945 972 1134 1215 1260 1620 1701 1890 2268 2430 2835 3402 3780 4860 5670 6804 8505 11340 17010 34020 9733786717 19467573434 29201360151 38935146868 48668933585 58402720302 68136507019 87604080453 97337867170 116805440604 136273014038 146006800755 175208160906 194675734340 204409521057 262812241359 272546028076 292013601510 340682535095 350416321812 408819042114 438020402265 525624482718 584027203020 613228563171 681365070190 788436724077 817638084228 876040804530 1022047605285 1051248965436 1226457126342 1314061206795 1362730140380 1576873448154 1752081609060 1839685689513 2044095210570 2365310172231 2452914252684 2628122413590 3066142815855 3153746896308 3679371379026 3942183620385 4088190421140 4730620344462 5256244827180 5519057068539 6132285631710 7358742758052 7884367240770 9198428447565 9461240688924 11038114137078 11826550861155 12264571263420 15768734481540 16557171205617 18396856895130 22076228274156 23653101722310 27595285342695 33114342411234 36793713790260 47306203444620 55190570685390 66228684822468 82785856028085 110381141370780 165571712056170 331143424112340