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24314204012 = 22719291679437
BaseRepresentation
bin10110101001001111…
…010100111101101100
32022202111110112120112
4112221033110331230
5344243414012022
615100401435152
71520346216110
oct265117247554
968674415515
1024314204012
11a34780938a
12486693bab8
1323a642b387
141269269740
159748a88e2
hex5a93d4f6c

24314204012 has 96 divisors (see below), whose sum is σ = 53275622400. Its totient is φ = 9473442048.

The previous prime is 24314203987. The next prime is 24314204017. The reversal of 24314204012 is 21040241342.

It is a super-2 number, since 2×243142040122 (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (24314204017) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2571758 + ... + 2581194.

It is an arithmetic number, because the mean of its divisors is an integer number (554954400).

Almost surely, 224314204012 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 24314204012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26637811200).

24314204012 is an abundant number, since it is smaller than the sum of its proper divisors (28961418388).

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

24314204012 is a wasteful number, since it uses less digits than its factorization.

24314204012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9663 (or 9661 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 23.

Adding to 24314204012 its reverse (21040241342), we get a palindrome (45354445354).

The spelling of 24314204012 in words is "twenty-four billion, three hundred fourteen million, two hundred four thousand, twelve".

Divisors: 1 2 4 7 14 19 28 29 38 58 76 116 133 167 203 266 334 406 532 551 668 812 1102 1169 2204 2338 3173 3857 4676 4843 6346 7714 9437 9686 12692 15428 18874 19372 22211 33901 37748 44422 66059 67802 88844 92017 132118 135604 179303 184034 264236 273673 358606 368068 547346 644119 717212 1094692 1255121 1288238 1575979 1915711 2510242 2576476 3151958 3831422 5020484 5199787 6303916 7662844 10399574 11031853 20799148 22063706 29943601 36398509 44127412 45703391 59887202 72797018 91406782 119774404 145594036 182813564 209605207 319923737 419210414 639847474 838420828 868364429 1279694948 1736728858 3473457716 6078551003 12157102006 24314204012