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402240212323120 = 245193643250316187
BaseRepresentation
bin101101101110101011101100…
…0111110000100101100110000
31221202012210021222222022200001
41123131113120332010230300
5410210300423323314440
63543254334051435344
7150503616303326143
oct13335273076045460
91852183258868601
10402240212323120
11107191130526176
1239144a212b5b54
131435a121163c12
14714875ca5605a
1531782cea07b9a
hex16dd5d8f84b30

402240212323120 has 160 divisors (see below), whose sum is σ = 941950458312192. Its totient is φ = 159739777990656.

The previous prime is 402240212323067. The next prime is 402240212323151. The reversal of 402240212323120 is 21323212042204.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 24849575667 + ... + 24849591853.

Almost surely, 2402240212323120 is an apocalyptic number.

402240212323120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

402240212323120 is an abundant number, since it is smaller than the sum of its proper divisors (539710245989072).

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

402240212323120 is a wasteful number, since it uses less digits than its factorization.

402240212323120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19539 (or 19533 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

Adding to 402240212323120 its reverse (21323212042204), we get a palindrome (423563424365324).

The spelling of 402240212323120 in words is "four hundred two trillion, two hundred forty billion, two hundred twelve million, three hundred twenty-three thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 193 386 643 772 965 1286 1544 1930 2503 2572 3088 3215 3860 5006 5144 6430 7720 10012 10288 12515 12860 15440 16187 20024 25030 25720 32374 40048 50060 51440 64748 80935 100120 124099 129496 161870 200240 248198 258992 323740 483079 496396 620495 647480 966158 992792 1240990 1294960 1609429 1932316 1985584 2415395 2481980 3124091 3218858 3864632 4830790 4963960 6248182 6437716 7729264 8047145 9661580 9927920 10408241 12496364 12875432 15620455 16094290 19323160 20816482 24992728 25750864 31240910 32188580 38646320 40516061 41632964 49985456 52041205 62481820 64377160 81032122 83265928 104082410 124963640 128754320 162064244 166531856 202580305 208164820 249927280 310619797 324128488 405160610 416329640 621239594 648256976 810321220 832659280 1242479188 1553098985 1620642440 2008790513 2484958376 3106197970 3241284880 4017581026 4969916752 6212395940 7819599773 8035162052 10043952565 12424791880 15639199546 16070324104 20087905130 24849583760 26051827223 31278399092 32140648208 39097998865 40175810260 52103654446 62556798184 78195997730 80351620520 104207308892 125113596368 130259136115 156391995460 160703241040 208414617784 260518272230 312783990920 416829235568 521036544460 625567981840 1042073088920 2084146177840 5028002654039 10056005308078 20112010616156 25140013270195 40224021232312 50280026540390 80448042464624 100560053080780 201120106161560 402240212323120