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14123441214100 = 22522831913260879
BaseRepresentation
bin1100110110000101111010…
…1100100101001010010100
31212000012001220100100120001
43031201132230211022110
53322344301422322400
650012115212421044
72655246016353121
oct315413654451224
955005056310501
1014123441214100
1145557994058a9
121701273a77784
137b5ab106447a
1436b81482d748
151975b304ca6a
hexcd85eb25294

14123441214100 has 72 divisors (see below), whose sum is σ = 30772359192960. Its totient is φ = 5626449742080.

The previous prime is 14123441214083. The next prime is 14123441214151. The reversal of 14123441214100 is 141214432141.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 54007461 + ... + 54268339.

It is an arithmetic number, because the mean of its divisors is an integer number (427393877680).

Almost surely, 214123441214100 is an apocalyptic number.

14123441214100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14123441214100 is an abundant number, since it is smaller than the sum of its proper divisors (16648917978860).

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

14123441214100 is a wasteful number, since it uses less digits than its factorization.

14123441214100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 263089 (or 263082 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 28.

Adding to 14123441214100 its reverse (141214432141), we get a palindrome (14264655646241).

The spelling of 14123441214100 in words is "fourteen trillion, one hundred twenty-three billion, four hundred forty-one million, two hundred fourteen thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 283 566 1132 1415 1913 2830 3826 5660 7075 7652 9565 14150 19130 28300 38260 47825 95650 191300 260879 521758 541379 1043516 1082758 1304395 2165516 2608790 2706895 5217580 5413790 6521975 10827580 13043950 13534475 26087900 27068950 54137900 73828757 147657514 295315028 369143785 499061527 738287570 998123054 1476575140 1845718925 1996246108 2495307635 3691437850 4990615270 7382875700 9981230540 12476538175 24953076350 49906152700 141234412141 282468824282 564937648564 706172060705 1412344121410 2824688242820 3530860303525 7061720607050 14123441214100