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12404314410 = 235979774363
BaseRepresentation
bin10111000110101101…
…01101000100101010
31012000110220110110020
423203112231010222
5200401001030120
65410511301310
7616250634645
oct134326550452
935013813406
1012404314410
115295a04014
1224a221a836
131228b56b17
148595c6a5c
154c8ed7640
hex2e35ad12a

12404314410 has 64 divisors (see below), whose sum is σ = 30114951552. Its totient is φ = 3269615616.

The previous prime is 12404314337. The next prime is 12404314423. The reversal of 12404314410 is 1441340421.

12404314410 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2840889 + ... + 2845251.

It is an arithmetic number, because the mean of its divisors is an integer number (470546118).

Almost surely, 212404314410 is an apocalyptic number.

12404314410 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

12404314410 is an abundant number, since it is smaller than the sum of its proper divisors (17710637142).

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

12404314410 is a wasteful number, since it uses less digits than its factorization.

12404314410 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5447.

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 12404314410 its reverse (1441340421), we get a palindrome (13845654831).

The spelling of 12404314410 in words is "twelve billion, four hundred four million, three hundred fourteen thousand, four hundred ten".

Divisors: 1 2 3 5 6 10 15 30 97 194 291 485 582 970 977 1455 1954 2910 2931 4363 4885 5862 8726 9770 13089 14655 21815 26178 29310 43630 65445 94769 130890 189538 284307 423211 473845 568614 846422 947690 1269633 1421535 2116055 2539266 2843070 4232110 4262651 6348165 8525302 12696330 12787953 21313255 25575906 42626510 63939765 127879530 413477147 826954294 1240431441 2067385735 2480862882 4134771470 6202157205 12404314410