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14404201400440 = 2352272137774209
BaseRepresentation
bin1101000110011011110101…
…0011101100100001111000
31220000000202120011120200001
43101212331103230201320
53341444301024303230
650345110533522344
73014445352514335
oct321467523544170
956000676146601
1014404201400440
1146538731a0355
121747769aa33b4
13806405b3b547
1437b24a60d98c
1519ea465a10ca
hexd19bd4ec878

14404201400440 has 64 divisors (see below), whose sum is σ = 32554187517600. Its totient is φ = 5735953072128.

The previous prime is 14404201400437. The next prime is 14404201400441. The reversal of 14404201400440 is 4400410240441.

It is a junction number, because it is equal to n+sod(n) for n = 14404201400399 and 14404201400408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14404201400441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 194066056 + ... + 194140264.

Almost surely, 214404201400440 is an apocalyptic number.

14404201400440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14404201400440 is an abundant number, since it is smaller than the sum of its proper divisors (18149986117160).

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

14404201400440 is a wasteful number, since it uses less digits than its factorization.

14404201400440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95824 (or 95820 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 28.

Adding to 14404201400440 its reverse (4400410240441), we get a palindrome (18804611640881).

The spelling of 14404201400440 in words is "fourteen trillion, four hundred four billion, two hundred one million, four hundred thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 20 40 227 454 908 1135 1816 2270 4540 9080 21377 42754 74209 85508 106885 148418 171016 213770 296836 371045 427540 593672 742090 855080 1484180 2968360 4852579 9705158 16845443 19410316 24262895 33690886 38820632 48525790 67381772 84227215 97051580 134763544 168454430 194103160 336908860 673817720 1586365793 3172731586 6345463172 7931828965 12690926344 15863657930 31727315860 63454631720 360105035011 720210070022 1440420140044 1800525175055 2880840280088 3601050350110 7202100700220 14404201400440