13248007200
13,248,007,200 is an even composite number composed of six prime numbers multiplied together.
13248007200 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of four hundred thirty-two divisors.
Prime factorization of 13248007200:
25 × 32 × 52 × 53 × 149 × 233
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 53 × 149 × 233)See below for interesting mathematical facts about the number 13248007200 from the Numbermatics database.
Names of 13248007200
- Cardinal: 13248007200 can be written as Thirteen billion, two hundred forty-eight million, seven thousand, two hundred.
Scientific notation
- Scientific notation: 1.32480072 × 1010
Factors of 13248007200
Divisors of 13248007200
- Number of divisors d(n): 432
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Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 30 32 36 40 45 48 50 53 60 72 75 80 90 96 100 106 120 144 149 150 159 160 180 200 212 225 233 240 265 288 298 300 318 360 400 424 447 450 466 477 480 530 596 600 636 699 720 745 795 800 848 894 900 932 954 1060 1165 1192 1200 1272 1325 1341 1398 1440 1490 1590 1696 1788 1800 1864 1908 2097 2120 2235 2330 2384 2385 2400 2544 2650 2682 2796 2980 3180 3495 3576 3600 3725 3728 3816 3975 4194 4240 4470 4660 4768 4770 5088 5300 5364 5592 5825 5960 6360 6705 6990 7152 7200 7450 7456 7632 7897 7950 8388 8480 8940 9320 9540 10485 10600 10728 11175 11184 11650 11920 11925 12349 12720 13410 13980 14304 14900 15264 15794 15900 16776 17475 17880 18640 19080 20970 21200 21456 22350 22368 23300 23691 23840 23850 24698 25440 26820 27960 29800 31588 31800 33525 33552 34717 34950 35760 37047 37280 38160 39485 41940 42400 42912 44700 46600 47382 47700 49396 52425 53640 55920 59600 61745 63176 63600 67050 67104 69434 69900 71073 71520 74094 76320 78970 83880 89400 93200 94764 95400 98792 104151 104850 107280 111141 111840 118455 119200 123490 126352 127200 134100 138868 139800 142146 148188 157940 167760 173585 178800 185235 186400 189528 190800 197425 197584 208302 209700 214560 222282 236910 246980 252704 268200 277736 279600 284292 296376 308725 312453 315880 335520 347170 355365 357600 370470 379056 381600 394850 395168 416604 419400 444564 473820 493960 520755 536400 555472 555705 559200 568584 592275 592752 617450 624906 631760 694340 710730 740940 758112 789700 833208 838800 867925 889128 926175 947640 987920 1041510 1072800 1110944 1111410 1137168 1184550 1185504 1234900 1249812 1263520 1388680 1421460 1481880 1562265 1579400 1666416 1677600 1735850 1776825 1778256 1840001 1852350 1895280 1975840 2083020 2222820 2274336 2369100 2469800 2499624 2603775 2777360 2778525 2842920 2963760 3124530 3158800 3332832 3471700 3553650 3556512 3680002 3704700 3790560 4166040 4445640 4738200 4939600 4999248 5207550 5520003 5554720 5557050 5685840 5927520 6249060 6317600 6943400 7107300 7360004 7409400 7811325 8332080 8891280 9200005 9476400 9879200 9998496 10415100 11040006 11114100 11371680 12498120 13886800 14214600 14720008 14818800 15622650 16560009 16664160 17782560 18400010 18952800 20830200 22080012 22228200 24996240 27600015 27773600 28429200 29440016 29637600 31245300 33120018 36800020 41660400 44160024 44456400 46000025 49992480 55200030 56858400 58880032 62490600 66240036 73600040 82800045 83320800 88320048 88912800 92000050 110400060 124981200 132480072 138000075 147200080 165600090 176640096 184000100 220800120 249962400 264960144 276000150 294400160 331200180 368000200 414000225 441600240 529920288 552000300 662400360 736000400 828000450 883200480 1104000600 1324800720 1472000800 1656000900 2208001200 2649601440 3312001800 4416002400 6624003600 13248007200
- Sum of all divisors σ(n): 48122310600
- Sum of proper divisors (its aliquot sum) s(n): 34874303400
- 13248007200 is an abundant number, because the sum of its proper divisors (34874303400) is greater than itself. Its abundance is 21626296200
Bases of 13248007200
- Binary: 11000101011010010010001100001000002
- Hexadecimal: 0x315A48C20
- Base-36: 633IRS0
Squares and roots of 13248007200
- 13248007200 squared (132480072002) is 175509694771251840000
- 13248007200 cubed (132480072003) is 2325153699999346729333248000000
-
The
square root of 13248007200 is 115099.9878366631 -
The
cube root of 13248007200 is 2366.1931085383
Scales and comparisons
How big is 13248007200?- 13,248,007,200 seconds is equal to 421 years, 12 weeks, 5 days, 10 hours.
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To count from 1 to 13,248,007,200 would take you about eight hundred forty-two years!
This is a very rough estimate, based on a speaking rate of half a second every third order of magnitude. If you speak quickly, you could probably say any randomly-chosen number between one and a thousand in around half a second. Very big numbers obviously take longer to say, so we add half a second for every extra x1000. (We do not count involuntary pauses, bathroom breaks or the necessity of sleep in our calculation!)
- A cube with a volume of 13248007200 cubic inches would be around 197.2 feet tall.
Recreational maths with 13248007200
- 13248007200 backwards is 00270084231
- The number of decimal digits it has is: 11
- The sum of 13248007200's digits is 27
- More coming soon!
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