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104432112431120 = 24523471207586869
BaseRepresentation
bin10111101111101011111110…
…111101101111000000010000
3111200202121112110210010022102
4113233223332331233000100
5102142003431240243440
61010035241121455532
730665654046205505
oct2757537675570020
9450677473703272
10104432112431120
1130303456a22a11
12b8677871a15a8
134636ba1495c36
141bb07811234ac
15c117bb46cb15
hex5efafef6f010

104432112431120 has 80 divisors (see below), whose sum is σ = 258752053808640. Its totient is φ = 39106493133312.

The previous prime is 104432112431077. The next prime is 104432112431123. The reversal of 104432112431120 is 21134211234401.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×1044321124311202 (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (104432112431123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 603706955 + ... + 603879914.

It is an arithmetic number, because the mean of its divisors is an integer number (3234400672608).

Almost surely, 2104432112431120 is an apocalyptic number.

104432112431120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

104432112431120 is an abundant number, since it is smaller than the sum of its proper divisors (154319941377520).

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

104432112431120 is a wasteful number, since it uses less digits than its factorization.

104432112431120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1207586952 (or 1207586946 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 29.

Adding to 104432112431120 its reverse (21134211234401), we get a palindrome (125566323665521).

The spelling of 104432112431120 in words is "one hundred four trillion, four hundred thirty-two billion, one hundred twelve million, four hundred thirty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 23 40 46 47 80 92 94 115 184 188 230 235 368 376 460 470 752 920 940 1081 1840 1880 2162 3760 4324 5405 8648 10810 17296 21620 43240 86480 1207586869 2415173738 4830347476 6037934345 9660694952 12075868690 19321389904 24151737380 27774497987 48303474760 55548995974 56756582843 96606949520 111097991948 113513165686 138872489935 222195983896 227026331372 277744979870 283782914215 444391967792 454052662744 555489959740 567565828430 908105325488 1110979919480 1135131656860 1305401405389 2221959838960 2270263313720 2610802810778 4540526627440 5221605621556 6527007026945 10443211243112 13054014053890 20886422486224 26108028107780 52216056215560 104432112431120