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23112414024 = 23371271377907
BaseRepresentation
bin10101100001100110…
…110111001101001000
32012122202002021122020
4111201212313031020
5334313234222044
614341231124440
71445514164160
oct254146671510
965582067566
1023112414024
11989039a817
124590373720
13224445b23b
1411937d15a0
15904117a19
hex5619b7348

23112414024 has 128 divisors (see below), whose sum is σ = 67049717760. Its totient is φ = 6502906368.

The previous prime is 23112414019. The next prime is 23112414067. The reversal of 23112414024 is 42041421132.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 23112413985 and 23112414003.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 2919079 + ... + 2926985.

It is an arithmetic number, because the mean of its divisors is an integer number (523825920).

Almost surely, 223112414024 is an apocalyptic number.

23112414024 is a gapful number since it is divisible by the number (24) 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 23112414024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33524858880).

23112414024 is an abundant number, since it is smaller than the sum of its proper divisors (43937303736).

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

23112414024 is a wasteful number, since it uses less digits than its factorization.

23112414024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8187 (or 8183 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 23112414024 its reverse (42041421132), we get a palindrome (65153835156).

The spelling of 23112414024 in words is "twenty-three billion, one hundred twelve million, four hundred fourteen thousand, twenty-four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 127 137 168 254 274 381 411 508 548 762 822 889 959 1016 1096 1524 1644 1778 1918 2667 2877 3048 3288 3556 3836 5334 5754 7112 7672 7907 10668 11508 15814 17399 21336 23016 23721 31628 34798 47442 52197 55349 63256 69596 94884 104394 110698 121793 139192 166047 189768 208788 221396 243586 332094 365379 417576 442792 487172 664188 730758 974344 1004189 1083259 1328376 1461516 2008378 2166518 2923032 3012567 3249777 4016756 4333036 6025134 6499554 7029323 7582813 8033512 8666072 12050268 12999108 14058646 15165626 21087969 22748439 24100536 25998216 28117292 30331252 42175938 45496878 56234584 60662504 84351876 90993756 137573893 168703752 181987512 275147786 412721679 550295572 825443358 963017251 1100591144 1650886716 1926034502 2889051753 3301773432 3852069004 5778103506 7704138008 11556207012 23112414024