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14442311310 = 23573110632087
BaseRepresentation
bin11010111001101010…
…00010111010001110
31101021111202102121220
431130311002322032
5214034212430220
610345032504210
71020615422610
oct153465027216
941244672556
1014442311310
116141343279
12297084b066
13149214604b
149b0132db0
15597da3540
hex35cd42e8e

14442311310 has 128 divisors (see below), whose sum is σ = 40949121024. Its totient is φ = 3190078080.

The previous prime is 14442311309. The next prime is 14442311353. The reversal of 14442311310 is 1311324441.

It is a super-2 number, since 2×144423113102 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6919087 + ... + 6921173.

It is an arithmetic number, because the mean of its divisors is an integer number (319915008).

Almost surely, 214442311310 is an apocalyptic number.

14442311310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 14442311310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20474560512).

14442311310 is an abundant number, since it is smaller than the sum of its proper divisors (26506809714).

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

14442311310 is a wasteful number, since it uses less digits than its factorization.

14442311310 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3198.

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 14442311310 its reverse (1311324441), we get a palindrome (15753635751).

The spelling of 14442311310 in words is "fourteen billion, four hundred forty-two million, three hundred eleven thousand, three hundred ten".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 31 35 42 62 70 93 105 155 186 210 217 310 434 465 651 930 1063 1085 1302 2087 2126 2170 3189 3255 4174 5315 6261 6378 6510 7441 10435 10630 12522 14609 14882 15945 20870 22323 29218 31305 31890 32953 37205 43827 44646 62610 64697 65906 73045 74410 87654 98859 111615 129394 146090 164765 194091 197718 219135 223230 230671 323485 329530 388182 438270 452879 461342 494295 646970 692013 905758 970455 988590 1153355 1358637 1384026 1940910 2218481 2264395 2306710 2717274 3460065 4436962 4528790 6655443 6793185 6920130 11092405 13310886 13586370 15529367 22184810 31058734 33277215 46588101 66554430 68772911 77646835 93176202 137545822 155293670 206318733 232940505 343864555 412637466 465881010 481410377 687729110 962820754 1031593665 1444231131 2063187330 2407051885 2888462262 4814103770 7221155655 14442311310