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12435141216 = 253389332989
BaseRepresentation
bin10111001010011000…
…10011001001100000
31012002121220121212210
423211030103021200
5200431344004331
65413532122120
7620103646011
oct134514231140
935077817783
1012435141216
115301349713
1224b0606340
13123235b234
1485d72d008
154cba76446
hex2e5313260

12435141216 has 48 divisors (see below), whose sum is σ = 32726257200. Its totient is φ = 4134379008.

The previous prime is 12435141193. The next prime is 12435141227. The reversal of 12435141216 is 61214153421.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 129151 + ... + 203838.

It is an arithmetic number, because the mean of its divisors is an integer number (681797025).

Almost surely, 212435141216 is an apocalyptic number.

12435141216 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

12435141216 is an abundant number, since it is smaller than the sum of its proper divisors (20291115984).

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

12435141216 is a wasteful number, since it uses less digits than its factorization.

12435141216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 333391 (or 333383 counting only the distinct ones).

The product of its digits is 5760, while the sum is 30.

Adding to 12435141216 its reverse (61214153421), we get a palindrome (73649294637).

The spelling of 12435141216 in words is "twelve billion, four hundred thirty-five million, one hundred forty-one thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 389 778 1167 1556 2334 3112 4668 6224 9336 12448 18672 37344 332989 665978 998967 1331956 1997934 2663912 3995868 5327824 7991736 10655648 15983472 31966944 129532721 259065442 388598163 518130884 777196326 1036261768 1554392652 2072523536 3108785304 4145047072 6217570608 12435141216