Search a number
-
+
24421311420 = 223511219177043
BaseRepresentation
bin10110101111100111…
…111010001110111100
32100000222000011022120
4112233213322032330
5400003323431140
615115145242540
71523116502442
oct265747721674
970028004276
1024421311420
11a3a2214800
124896793450
1323c268cc3c
14127958ab92
1597deb41d0
hex5af9fa3bc

24421311420 has 144 divisors (see below), whose sum is σ = 79117422720. Its totient is φ = 5608690560.

The previous prime is 24421311413. The next prime is 24421311451. The reversal of 24421311420 is 2411312442.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 49419 + ... + 226461.

Almost surely, 224421311420 is an apocalyptic number.

24421311420 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 24421311420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39558711360).

24421311420 is an abundant number, since it is smaller than the sum of its proper divisors (54696111300).

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

24421311420 is a wasteful number, since it uses less digits than its factorization.

24421311420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 177096 (or 177083 counting only the distinct ones).

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

Adding to 24421311420 its reverse (2411312442), we get a palindrome (26832623862).

The spelling of 24421311420 in words is "twenty-four billion, four hundred twenty-one million, three hundred eleven thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 19 20 22 30 33 38 44 55 57 60 66 76 95 110 114 121 132 165 190 209 220 228 242 285 330 363 380 418 484 570 605 627 660 726 836 1045 1140 1210 1254 1452 1815 2090 2299 2420 2508 3135 3630 4180 4598 6270 6897 7260 9196 11495 12540 13794 22990 27588 34485 45980 68970 137940 177043 354086 531129 708172 885215 1062258 1770430 1947473 2124516 2655645 3363817 3540860 3894946 5311290 5842419 6727634 7789892 9737365 10091451 10622580 11684838 13455268 16819085 19474730 20182902 21422203 23369676 29212095 33638170 37001987 38949460 40365804 42844406 50457255 58424190 64266609 67276340 74003974 85688812 100914510 107111015 111005961 116848380 128533218 148007948 185009935 201829020 214222030 222011922 257066436 321333045 370019870 407021857 428444060 444023844 555029805 642666090 740039740 814043714 1110059610 1221065571 1285332180 1628087428 2035109285 2220119220 2442131142 4070218570 4884262284 6105327855 8140437140 12210655710 24421311420