Search a number
-
+
323004005266140 = 2232511971681786969
BaseRepresentation
bin100100101110001010011101…
…0111111101011001011011100
31120100122212210111021222012100
41021130110322333223023130
5314314044200322004030
63102545554100405100
7125015161235124612
oct11134247277531334
91510585714258170
10323004005266140
1193a12258303a40
123028840b9a6790
1310b301bac620c3
1459a96978b16b2
15275211e89e360
hex125c53afeb2dc

323004005266140 has 144 divisors (see below), whose sum is σ = 1079868686289120. Its totient is φ = 77496743485440.

The previous prime is 323004005266123. The next prime is 323004005266169. The reversal of 323004005266140 is 41662500400323.

323004005266140 is a `hidden beast` number, since 3 + 2 + 3 + 0 + 0 + 400 + 52 + 66 + 140 = 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 = 323004005266095 and 323004005266104.

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, 840701425 + ... + 841085544.

It is an arithmetic number, because the mean of its divisors is an integer number (7499088099230).

Almost surely, 2323004005266140 is an apocalyptic number.

323004005266140 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

323004005266140 is an abundant number, since it is smaller than the sum of its proper divisors (756864681022980).

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

323004005266140 is a wasteful number, since it uses less digits than its factorization.

323004005266140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1681787092 (or 1681787087 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

Adding to 323004005266140 its reverse (41662500400323), we get a palindrome (364666505666463).

The spelling of 323004005266140 in words is "three hundred twenty-three trillion, four billion, five million, two hundred sixty-six thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 44 45 55 60 66 90 97 99 110 132 165 180 194 198 220 291 330 388 396 485 495 582 660 873 970 990 1067 1164 1455 1746 1940 1980 2134 2910 3201 3492 4268 4365 5335 5820 6402 8730 9603 10670 12804 16005 17460 19206 21340 32010 38412 48015 64020 96030 192060 1681786969 3363573938 5045360907 6727147876 8408934845 10090721814 15136082721 16817869690 18499656659 20181443628 25226804535 30272165442 33635739380 36999313318 50453609070 55498969977 60544330884 73998626636 75680413605 92498283295 100907218140 110997939954 151360827210 163133335993 166496909931 184996566590 221995879908 277494849885 302721654420 326266671986 332993819862 369993133180 489400007979 554989699770 652533343972 665987639724 815666679965 832484549655 978800015958 1109979399540 1468200023937 1631333359930 1664969099310 1794466695923 1957600031916 2447000039895 2936400047874 3262666719860 3329938198620 3588933391846 4894000079790 5383400087769 5872800095748 7177866783692 7341000119685 8972333479615 9788000159580 10766800175538 14682000239370 16150200263307 17944666959230 21533600351076 26917000438845 29364000478740 32300400526614 35889333918460 53834000877690 64600801053228 80751001316535 107668001755380 161502002633070 323004005266140