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14231333412 = 223219107337577
BaseRepresentation
bin11010100000100000…
…01110101000100100
31100201210202122100200
431100100032220210
5213121210132122
610312054510500
71012444223652
oct152020165044
940653678320
1014231333412
11604324247a
122912065430
13145a51705a
149900d3dd2
155845cb5ac
hex35040ea24

14231333412 has 144 divisors (see below), whose sum is σ = 38400747840. Its totient is φ = 4431200256.

The previous prime is 14231333411. The next prime is 14231333443. The reversal of 14231333412 is 21433313241.

It is a happy number.

14231333412 is a `hidden beast` number, since 1 + 4 + 2 + 313 + 3 + 341 + 2 = 666.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (14231333411) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 24664068 + ... + 24664644.

It is an arithmetic number, because the mean of its divisors is an integer number (266671860).

Almost surely, 214231333412 is an apocalyptic number.

14231333412 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14231333412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19200373920).

14231333412 is an abundant number, since it is smaller than the sum of its proper divisors (24169414428).

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

14231333412 is a wasteful number, since it uses less digits than its factorization.

14231333412 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1050 (or 1045 counting only the distinct ones).

The product of its digits is 5184, while the sum is 27.

Adding to 14231333412 its reverse (21433313241), we get a palindrome (35664646653).

The spelling of 14231333412 in words is "fourteen billion, two hundred thirty-one million, three hundred thirty-three thousand, four hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 19 36 38 57 76 107 114 171 214 228 321 337 342 428 577 642 674 684 963 1011 1154 1284 1348 1731 1926 2022 2033 2308 3033 3462 3852 4044 4066 5193 6066 6099 6403 6924 8132 10386 10963 12132 12198 12806 18297 19209 20772 21926 24396 25612 32889 36059 36594 38418 43852 57627 61739 65778 72118 73188 76836 98667 108177 115254 123478 131556 144236 185217 194449 197334 216354 230508 246956 324531 370434 388898 394668 432708 555651 583347 649062 685121 740868 777796 1111302 1166694 1173041 1298124 1370242 1750041 2055363 2222604 2333388 2346082 2740484 3500082 3519123 3694531 4110726 4692164 6166089 7000164 7038246 7389062 8221452 10557369 11083593 12332178 14076492 14778124 20806043 21114738 22167186 24664356 33250779 41612086 42229476 44334372 62418129 66501558 83224172 124836258 133003116 187254387 249672516 374508774 395314817 749017548 790629634 1185944451 1581259268 2371888902 3557833353 4743777804 7115666706 14231333412