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14400201310 = 2511373538133
BaseRepresentation
bin11010110100101000…
…11010001001011110
31101011120112000120021
431122110122021132
5213442422420220
610340530142354
71016564456125
oct153224321136
941146460507
1014400201310
11611a5a1420
12295a7219ba
1314864c0ca1
149a86d0abc
155943364aa
hex35a51a25e

14400201310 has 32 divisors (see below), whose sum is σ = 29041003872. Its totient is φ = 5094910080.

The previous prime is 14400201301. The next prime is 14400201317. The reversal of 14400201310 is 1310200441.

14400201310 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×144002013102 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14400201317) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1764997 + ... + 1773136.

It is an arithmetic number, because the mean of its divisors is an integer number (907531371).

Almost surely, 214400201310 is an apocalyptic number.

14400201310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

14400201310 is an abundant number, since it is smaller than the sum of its proper divisors (14640802562).

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

14400201310 is a wasteful number, since it uses less digits than its factorization.

14400201310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3538188.

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 14400201310 its reverse (1310200441), we get a palindrome (15710401751).

The spelling of 14400201310 in words is "fourteen billion, four hundred million, two hundred one thousand, three hundred ten".

Divisors: 1 2 5 10 11 22 37 55 74 110 185 370 407 814 2035 4070 3538133 7076266 17690665 35381330 38919463 77838926 130910921 194597315 261821842 389194630 654554605 1309109210 1440020131 2880040262 7200100655 14400201310