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12412542440 = 2353746717959
BaseRepresentation
bin10111000111101100…
…00101110111101000
31012001001101111012002
423203312011313220
5200410102324230
65411403510132
7616410604244
oct134366056750
935031344162
1012412542440
11529a613941
1224a4b28348
13122a777c8c
1485a729424
154c9ab0545
hex2e3d85de8

12412542440 has 64 divisors (see below), whose sum is σ = 28746057600. Its totient is φ = 4820214528.

The previous prime is 12412542437. The next prime is 12412542451. The reversal of 12412542440 is 4424521421.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 682181 + ... + 700139.

It is an arithmetic number, because the mean of its divisors is an integer number (449157150).

Almost surely, 212412542440 is an apocalyptic number.

12412542440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12412542440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14373028800).

12412542440 is an abundant number, since it is smaller than the sum of its proper divisors (16333515160).

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

12412542440 is a wasteful number, since it uses less digits than its factorization.

12412542440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18474 (or 18470 counting only the distinct ones).

The product of its (nonzero) digits is 10240, while the sum is 29.

The spelling of 12412542440 in words is "twelve billion, four hundred twelve million, five hundred forty-two thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 20 37 40 74 148 185 296 370 467 740 934 1480 1868 2335 3736 4670 9340 17279 17959 18680 34558 35918 69116 71836 86395 89795 138232 143672 172790 179590 345580 359180 664483 691160 718360 1328966 2657932 3322415 5315864 6644830 8386853 13289660 16773706 26579320 33547412 41934265 67094824 83868530 167737060 310313561 335474120 620627122 1241254244 1551567805 2482508488 3103135610 6206271220 12412542440