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24313420000 = 25541737027
BaseRepresentation
bin10110101001001100…
…010101100011100000
32022202102222201010001
4112221030111203200
5344243213420000
615100332545344
71520336442262
oct265114254340
968672881101
1024313420000
11a347323341
124866622254
1323a621556c
141269103b32
159747a146a
hex5a93158e0

24313420000 has 120 divisors (see below), whose sum is σ = 60168971016. Its totient is φ = 9667776000.

The previous prime is 24313419967. The next prime is 24313420013. The reversal of 24313420000 is 2431342.

It is a super-3 number, since 3×243134200003 (a number of 32 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 24313420000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 3456487 + ... + 3463513.

Almost surely, 224313420000 is an apocalyptic number.

24313420000 is a gapful number since it is divisible by the number (20) 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 24313420000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30084485508).

24313420000 is an abundant number, since it is smaller than the sum of its proper divisors (35855551016).

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

24313420000 is an equidigital number, since it uses as much as digits as its factorization.

24313420000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7230 (or 7207 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 19.

Adding to 24313420000 its reverse (2431342), we get a palindrome (24315851342).

24313420000 divided by its reverse (2431342) gives a 4-th power (10000 = 104).

The spelling of 24313420000 in words is "twenty-four billion, three hundred thirteen million, four hundred twenty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 173 200 250 346 400 500 625 692 800 865 1000 1250 1384 1730 2000 2500 2768 3460 4000 4325 5000 5536 6920 7027 8650 10000 13840 14054 17300 20000 21625 27680 28108 34600 35135 43250 56216 69200 70270 86500 108125 112432 138400 140540 173000 175675 216250 224864 281080 346000 351350 432500 562160 692000 702700 865000 878375 1124320 1215671 1405400 1730000 1756750 2431342 2810800 3460000 3513500 4391875 4862684 5621600 6078355 7027000 8783750 9725368 12156710 14054000 17567500 19450736 24313420 28108000 30391775 35135000 38901472 48626840 60783550 70270000 97253680 121567100 140540000 151958875 194507360 243134200 303917750 486268400 607835500 759794375 972536800 1215671000 1519588750 2431342000 3039177500 4862684000 6078355000 12156710000 24313420000