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14513331030 = 23511378314321
BaseRepresentation
bin11011000010000111…
…11101101101010110
31101110110101121100220
431201003331231112
5214210403043110
610400051015210
71022440164312
oct154103755526
941413347326
1014513331030
116178440460
12299059a506
1314a3a80a53
149b973cb42
1559e231370
hex3610fdb56

14513331030 has 128 divisors (see below), whose sum is σ = 39498471936. Its totient is φ = 3381811200.

The previous prime is 14513331011. The next prime is 14513331037. The reversal of 14513331030 is 3013331541.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14513331037) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 1006270 + ... + 1020590.

It is an arithmetic number, because the mean of its divisors is an integer number (308581812).

Almost surely, 214513331030 is an apocalyptic number.

14513331030 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 14513331030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19749235968).

14513331030 is an abundant number, since it is smaller than the sum of its proper divisors (24985140906).

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

14513331030 is a wasteful number, since it uses less digits than its factorization.

14513331030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14462.

The product of its (nonzero) digits is 1620, while the sum is 24.

Adding to 14513331030 its reverse (3013331541), we get a palindrome (17526662571).

It can be divided in two parts, 14513 and 331030, that added together give a palindrome (345543).

The spelling of 14513331030 in words is "fourteen billion, five hundred thirteen million, three hundred thirty-one thousand, thirty".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 37 55 66 74 83 110 111 165 166 185 222 249 330 370 407 415 498 555 814 830 913 1110 1221 1245 1826 2035 2442 2490 2739 3071 4070 4565 5478 6105 6142 9130 9213 12210 13695 14321 15355 18426 27390 28642 30710 33781 42963 46065 67562 71605 85926 92130 101343 143210 157531 168905 202686 214815 315062 337810 429630 472593 506715 529877 787655 945186 1013430 1059754 1188643 1575310 1589631 2362965 2377286 2649385 3179262 3565929 4725930 5298770 5828647 5943215 7131858 7948155 11657294 11886430 13075073 15896310 17485941 17829645 26150146 29143235 34971882 35659290 39225219 43979791 58286470 65375365 78450438 87429705 87959582 130750730 131939373 174859410 196126095 219898955 263878746 392252190 439797910 483777701 659696865 967555402 1319393730 1451333103 2418888505 2902666206 4837777010 7256665515 14513331030