13084998321200
13,084,998,321,200 is an even composite number composed of seven prime numbers multiplied together.
13084998321200 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of seven hundred twenty divisors.
Prime factorization of 13084998321200:
24 × 52 × 13 × 172 × 47 × 61 × 3037
(2 × 2 × 2 × 2 × 5 × 5 × 13 × 17 × 17 × 47 × 61 × 3037)See below for interesting mathematical facts about the number 13084998321200 from the Numbermatics database.
Names of 13084998321200
- Cardinal: 13084998321200 can be written as Thirteen trillion, eighty-four billion, nine hundred ninety-eight million, three hundred twenty-one thousand, two hundred.
Scientific notation
- Scientific notation: 1.30849983212 × 1013
Factors of 13084998321200
Divisors of 13084998321200
- Number of divisors d(n): 720
-
Complete list of divisors:
1 2 4 5 8 10 13 16 17 20 25 26 34 40 47 50 52 61 65 68 80 85 94 100 104 122 130 136 170 188 200 208 221 235 244 260 272 289 305 325 340 376 400 425 442 470 488 520 578 610 611 650 680 752 793 799 850 884 940 976 1037 1040 1105 1156 1175 1220 1222 1300 1360 1445 1525 1586 1598 1700 1768 1880 2074 2210 2312 2350 2440 2444 2600 2867 2890 3037 3050 3055 3172 3196 3400 3536 3757 3760 3965 3995 4148 4420 4624 4700 4880 4888 5185 5200 5525 5734 5780 6074 6100 6110 6344 6392 6800 7225 7514 7930 7990 8296 8840 9400 9776 10370 10387 11050 11468 11560 12148 12200 12220 12688 12784 13481 13583 14335 14450 15028 15185 15275 15860 15980 16592 17629 17680 18785 18800 19825 19975 20740 20774 22100 22936 23120 24296 24400 24440 25925 26962 27166 28670 28900 30056 30370 30550 31720 31960 35258 37271 37570 39481 39650 39950 41480 41548 44200 45872 48592 48739 48880 51629 51850 51935 53924 54332 57340 57800 60112 60740 61100 63440 63920 67405 67915 70516 71675 74542 75140 75925 78962 79300 79900 82960 83096 88145 88400 93925 97478 103258 103700 103870 107848 108664 114680 115600 121480 122200 134810 135830 141032 142739 143350 149084 150280 151850 157924 158600 159800 166192 176290 176579 185257 186355 187850 194956 197405 206516 207400 207740 215696 217328 229177 229360 242960 243695 244400 258145 259675 269620 271660 282064 285478 286700 298168 300560 303700 315848 317200 319600 337025 339575 352580 353158 370514 372710 375700 389912 394810 413032 414800 415480 440725 458354 487390 516290 519350 539240 543320 570956 573400 596336 607400 631696 633607 671177 674050 679150 705160 706316 713695 741028 745420 751400 779824 789620 826064 828563 830960 877693 881450 882895 916708 926285 931775 974780 987025 1032580 1038700 1078480 1086640 1141912 1145885 1146800 1214800 1218475 1267214 1290725 1342354 1348100 1358300 1410320 1412632 1427390 1482056 1490840 1502800 1579240 1657126 1755386 1762900 1765790 1833416 1852570 1855607 1863550 1949560 1974050 2065160 2077400 2283824 2291770 2408341 2426563 2436950 2534428 2581450 2684708 2696200 2716600 2825264 2854780 2964112 2981680 3149369 3158480 3168035 3314252 3355885 3510772 3525800 3531580 3568475 3666832 3705140 3711214 3727100 3899120 3948100 4130320 4142815 4154800 4388465 4414475 4583540 4631425 4816682 4853126 4873900 5068856 5162900 5369416 5392400 5433200 5709560 5729425 6298738 6336070 6628504 6711770 7021544 7051600 7063160 7136950 7410280 7422428 7454200 7896200 8285630 8707079 8776930 8828950 9167080 9262850 9278035 9633364 9706252 9747800 10137712 10325800 10738832 10771319 11410009 11419120 11458850 12041705 12132815 12597476 12672140 13257008 13423540 14043088 14126320 14273900 14820560 14844856 14908400 15746845 15792400 15840175 16571260 16779425 17414158 17553860 17657900 18334160 18525700 18556070 19266728 19412504 19495600 20651600 20714075 21542638 21942325 22820018 22917700 24083410 24265630 25194952 25344280 26847080 28547800 29689712 31493690 31545319 31680350 33142520 33558850 34828316 35107720 35315800 37051400 37112140 38533456 38825008 40941797 41251571 41428150 43085276 43535395 43884650 45640036 45835400 46390175 48166820 48531260 50389904 50688560 53539273 53694160 53856595 57050045 57095600 60208525 60664075 62987380 63090638 63360700 66285040 67117700 69656632 70215440 70631600 74102800 74224280 78734225 81883594 82503142 82856300 86170552 87070790 87769300 91280072 91670800 92780350 96333640 97062520 107078546 107713190 113192027 114100090 120417050 121328150 125974760 126181276 126721400 134235400 139313264 148020343 148448560 157468450 157726595 163767188 165006284 165712600 172341104 174141580 175538600 182560144 185560700 192667280 194125040 204708985 206257855 214157092 215426380 217676975 226384054 228200180 240834100 242656300 251949520 252362552 253442800 267696365 268470800 269282975 285250225 296040686 314936900 315453190 327534376 330012568 331425200 348283160 351077200 371121400 409417970 412515710 428314184 430852760 435353950 452768108 456400360 481668200 485312600 504725104 535392730 536270423 538565950 565960135 570500450 592081372 629873800 630906380 655068752 660025136 696010549 696566320 740101715 742242800 788632975 818835940 825031420 856628368 861705520 870707900 905536216 912800720 963336400 970625200 1023544925 1031289275 1070785460 1072540846 1077131900 1131920270 1141000900 1184162744 1259747600 1261812760 1338481825 1392021098 1480203430 1577265950 1637671880 1650062840 1741415800 1811072432 1924264459 2047089850 2062578550 2141570920 2145081692 2154263800 2263840540 2282001800 2368325488 2516345831 2523625520 2676963650 2681352115 2784042196 2829800675 2960406860 3154531900 3275343760 3300125680 3480052745 3482831600 3700508575 3848528918 4094179700 4125157100 4283141840 4290163384 4308527600 4527681080 4564003600 5032691662 5353927300 5362704230 5568084392 5659601350 5920813720 6309063800 6960105490 7401017150 7697057836 8188359400 8250314200 8580326768 9055362160 9621322295 10065383324 10707854600 10725408460 11136168784 11319202700 11841627440 12581729155 12618127600 13406760575 13920210980 14802034300 15394115672 16376718800 16500628400 17400263725 19242644590 20130766648 21415709200 21450816920 22638405400 25163458310 26813521150 27840421960 29604068600 30788231344 32712495803 34800527450 38485289180 40261533296 42901633840 45276810800 48106611475 50326916620 53627042300 55680843920 59208137200 62908645775 65424991606 69601054900 76970578360 96213222950 100653833240 107254084600 125817291550 130849983212 139202109800 153941156720 163562479015 192426445900 201307666480 214508169200 251634583100 261699966424 278404219600 327124958030 384852891800 503269166200 523399932848 654249916060 769705783600 817812395075 1006538332400 1308499832120 1635624790150 2616999664240 3271249580300 6542499160600 13084998321200
- Sum of all divisors σ(n): 37343110971264
- Sum of proper divisors (its aliquot sum) s(n): 24258112650064
- 13084998321200 is an abundant number, because the sum of its proper divisors (24258112650064) is greater than itself. Its abundance is 11173114328864
Bases of 13084998321200
- Binary: 101111100110100101101010110101000100001100002
- Hexadecimal: 0xBE696AD4430
- Base-36: 4MZ5Y5LWW
Squares and roots of 13084998321200
- 13084998321200 squared (130849983212002) is 171217181065806818369440000
- 13084998321200 cubed (130849983212003) is 2240376526806678645087635721384128000000
-
The
square root of 13084998321200 is 3617319.2174868947 -
The
cube root of 13084998321200 is 23564.4816191993
Scales and comparisons
How big is 13084998321200?- 13,084,998,321,200 seconds is equal to 416,062 years, 24 weeks, 3 days, 19 hours, 53 minutes, 20 seconds.
-
To count from 1 to 13,084,998,321,200 would take you about one million, forty thousand, one hundred fifty-six 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 13084998321200 cubic inches would be around 1963.7 feet tall.
Recreational maths with 13084998321200
- 13084998321200 backwards is 00212389948031
- 13084998321200 is a
Harshad number . - The number of decimal digits it has is: 14
- The sum of 13084998321200's digits is 50
- More coming soon!
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