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14401222010432 = 2617671091939391
BaseRepresentation
bin1101000110010000101110…
…1110001110011001000000
31212222202001220220212220222
43101210023232032121000
53341422200313313212
650343455143122212
73014311464231155
oct321441356163100
955882056825828
1014401222010432
114652584427564
121747078143368
1380604c7c1c8a
1437b046a5022c
1519e91ec2dc72
hexd190bb8e640

14401222010432 has 224 divisors, whose sum is σ = 31155708925440. Its totient is φ = 6579675463680.

The previous prime is 14401222010429. The next prime is 14401222010467. The reversal of 14401222010432 is 23401022210441.

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 31 ways as a sum of consecutive naturals, for example, 1533508457 + ... + 1533517847.

Almost surely, 214401222010432 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14401222010432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15577854462720).

14401222010432 is an abundant number, since it is smaller than the sum of its proper divisors (16754486915008).

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

14401222010432 is a wasteful number, since it uses less digits than its factorization.

14401222010432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9789 (or 9779 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 26.

Adding to 14401222010432 its reverse (23401022210441), we get a palindrome (37802244220873).

The spelling of 14401222010432 in words is "fourteen trillion, four hundred one billion, two hundred twenty-two million, ten thousand, four hundred thirty-two".