13728586421424732000
13,728,586,421,424,732,000 is an even composite number composed of seven prime numbers multiplied together.
13728586421424732000 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand, seven hundred twenty-eight divisors.
Prime factorization of 13728586421424732000:
25 × 3 × 53 × 11 × 132 × 31 × 1408972
(2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 5 × 11 × 13 × 13 × 31 × 140897 × 140897)See below for interesting mathematical facts about the number 13728586421424732000 from the Numbermatics database.
Names of 13728586421424732000
- Cardinal: 13728586421424732000 can be written as Thirteen quintillion, seven hundred twenty-eight quadrillion, five hundred eighty-six trillion, four hundred twenty-one billion, four hundred twenty-four million, seven hundred thirty-two thousand.
Scientific notation
- Scientific notation: 1.3728586421424732 × 1019
Factors of 13728586421424732000
Divisors of 13728586421424732000
- Number of divisors d(n): 1728
-
Complete list of divisors:
1 2 3 4 5 6 8 10 11 12 13 15 16 20 22 24 25 26 30 31 32 33 39 40 44 48 50 52 55 60 62 65 66 75 78 80 88 93 96 100 104 110 120 124 125 130 132 143 150 155 156 160 165 169 176 186 195 200 208 220 240 248 250 260 264 275 286 300 310 312 325 330 338 341 352 372 375 390 400 403 416 429 440 465 480 496 500 507 520 528 550 572 600 620 624 650 660 676 682 715 744 750 775 780 800 806 825 845 858 880 930 975 992 1000 1014 1023 1040 1056 1100 1144 1200 1209 1240 1248 1300 1320 1352 1364 1375 1430 1488 1500 1550 1560 1612 1625 1650 1690 1705 1716 1760 1859 1860 1950 2000 2015 2028 2046 2080 2145 2200 2288 2325 2400 2418 2480 2535 2600 2640 2704 2728 2750 2860 2976 3000 3100 3120 3224 3250 3300 3380 3410 3432 3575 3718 3720 3875 3900 4000 4030 4056 4092 4125 4225 4290 4400 4433 4576 4650 4836 4875 4960 5070 5115 5200 5239 5280 5408 5456 5500 5577 5720 6000 6045 6200 6240 6448 6500 6600 6760 6820 6864 7150 7436 7440 7750 7800 8060 8112 8184 8250 8450 8525 8580 8800 8866 9295 9300 9672 9750 10075 10140 10230 10400 10478 10725 10912 11000 11154 11440 11625 12000 12090 12400 12675 12896 13000 13200 13299 13520 13640 13728 14300 14872 14880 15500 15600 15717 16120 16224 16368 16500 16900 17050 17160 17732 17875 18590 18600 19344 19500 20150 20280 20460 20956 21125 21450 22000 22165 22308 22880 23250 24180 24800 25350 25575 26000 26195 26400 26598 27040 27280 27885 28600 29744 30225 31000 31200 31434 32240 32736 33000 33800 34100 34320 35464 35750 37180 37200 38688 39000 40300 40560 40920 41912 42250 42625 42900 44000 44330 44616 46475 46500 48360 50375 50700 51150 52000 52390 53196 53625 54560 55770 57200 57629 59488 60450 62000 62868 63375 64480 66000 66495 67600 68200 68640 70928 71500 74360 74400 78000 78585 80600 81120 81840 83824 84500 85250 85800 88660 89232 92950 93000 96720 100750 101400 102300 104780 106392 107250 110825 111540 114400 115258 120900 124000 125736 126750 127875 130975 132000 132990 135200 136400 139425 140897 141856 143000 148720 151125 156000 157170 161200 163680 167648 169000 170500 171600 172887 177320 178464 185900 186000 193440 201500 202800 204600 209560 212784 214500 221650 223080 230516 232375 241800 251472 253500 255750 261950 265980 272800 278850 281794 286000 288145 297440 302250 314340 322400 332475 338000 341000 343200 345774 354640 371800 372000 392925 403000 405600 409200 419120 422691 425568 429000 443300 446160 461032 464750 483600 502944 507000 511500 523900 531960 554125 557700 563588 572000 576290 604500 628680 654875 664950 676000 682000 691548 697125 704485 709280 743600 785850 806000 818400 838240 845382 858000 864435 886600 892320 922064 929500 967200 1014000 1023000 1047800 1063920 1108250 1115400 1127176 1152580 1209000 1257360 1309750 1329900 1364000 1383096 1394250 1408970 1440725 1487200 1549867 1571700 1612000 1662375 1690764 1716000 1728870 1773200 1831661 1844128 1859000 1964625 2028000 2046000 2095600 2113455 2127840 2216500 2230800 2254352 2305160 2418000 2514720 2619500 2659800 2766192 2788500 2817940 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160006834748540 161039136908208 162468478360056 163778708024250 167749100946050 169237998291725 170329856345220 174697288559200 176007518223394 184524011040655 184623270863700 192008201698248 193556654937750 200008543435675 201298921135260 203085597950070 206460431933600 208008885173102 212912320431525 216624637813408 218371610699000 221428813248786 227106475126960 230779088579625 238223575308000 240010252122810 246164361151600 251623651419075 256010935597664 258075539917000 262045932838800 264011277335091 268398561513680 270780797266760 272527770152352 283883093908700 295238417665048 295397233381920 307705451439500 309690647900400 312013327759653 320013669497080 322078273816416 324936956720112 327557416048500 335498201892100 338475996583450 340659712690440 352015036446788 354853867385875 369048022081310 369246541727400 384016403396496 387113309875500 400017086871350 402597842270520 406171195900140 416017770346204 419372752365125 425824640863050 436743221398000 440018795558485 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3520150364467880 3542861011980576 3690480220813100 3692465417274000 3840164033964960 4000170868713500 4025978422705200 4061711959001400 4160177703462040 4224180437361456 4258246408630500 4400187955584850 4428576264975720 4576195473808244 4613100276016375 4800205042456200 4992213244154448 5032473028381500 5077139948751750 5200222129327550 5280225546701820 5415615945335200 5535720331219650 5677661878174000 5720244342260305 5904768353300960 6000256303070250 6240266555193060 6400273389941600 6600281933377275 6709964037842000 6769519931669000 6813194253808800 6864293210712366 7040300728935760 7380960441626200 7384930834548000 7800333193991325 8000341737427000 8051956845410400 8123423918002800 8320355406924080 8448360874722912 8516492817261000 8800375911169700 8857152529951440 9152390947616488 9226200552032750 9600410084912400 9984426488308896 10064946056763000 10154279897503500 10400444258655100 10560451093403640 11000469888962125 11071440662439300 11355323756348000 11440488684520610 12000512606140500 12480533110386120 13000555323318875 13200563866754550 13419928075684000 13539039863338000 13728586421424732 13839300828049125 14080601457871520 14761920883252400 15600666387982650 16000683474854000 16246847836005600 16640710813848160 17032985634522000 17160733026780915 17600751822339400 17714305059902880 18304781895232976 18452401104065500 19200820169824800 20129892113526000 20308559795007000 20800888517310200 21120902186807280 22000939777924250 22142881324878600 22880977369041220 24001025212281000 24961066220772240 26001110646637750 26401127733509100 27078079726676000 27457172842849464 27678601656098250 28601221711301525 29523841766504800 31201332775965300 32001366949708000 33001409666886375 34065971269044000 34321466053561830 35201503644678800 36609563790465952 36904802208131000 39001665969956625 40259784227052000 40617119590014000 41601777034620400 42241804373614560 44001879555848500 44285762649757200 45761954738082440 48002050424562000 49922132441544480 52002221293275500 52802255467018200 54914345685698928 55357203312196500 57202443422603050 62402665551930600 66002819333772750 68642932107123660 70403007289357600 73809604416262000 78003331939913250 81234239180028000 83203554069240800 85803665133904575 88003759111697000 88571525299514400 91523909476164880 96004100849124000 104004442586551000 105604510934036400 109828691371397856 110714406624393000 114404886845206100 124805331103861200 132005638667545500 137285864214247320 143006108556507625 147619208832524000 156006663879826500 171607330267809150 176007518223394000 183047818952329760 208008885173102000 211209021868072800 221428813248786000 228809773690412200 249610662207722400 264011277335091000 274571728428494640 286012217113015250 312013327759653000 343214660535618300 352015036446788000 416017770346204000 429018325669522875 442857626497572000 457619547380824400 528022554670182000 549143456856989280 572024434226030500 624026655519306000 686429321071236600 858036651339045750 915239094761648800 1056045109340364000 1144048868452061000 1248053311038612000 1372858642142473200 1716073302678091500 2288097736904122000 2745717284284946400 3432146605356183000 4576195473808244000 6864293210712366000 13728586421424732000
- Sum of all divisors σ(n): 54842093882682882048
- Sum of proper divisors (its aliquot sum) s(n): 41113507461258150048
- 13728586421424732000 is an abundant number, because the sum of its proper divisors (41113507461258150048) is greater than itself. Its abundance is 27384921039833418048
Bases of 13728586421424732000
- Binary: 10111110100001011011110010011100111101010100010110110111011000002
- Hexadecimal: 0xBE85BC9CF545B760
- Base-36: 2WAX5Q79Z002O
Squares and roots of 13728586421424732000
- 13728586421424732000 squared (137285864214247320002) is 188474085130527529176708741271824000000
- 13728586421424732000 cubed (137285864214247320003) is 2587482765913409224747704153418647093399768351168000000000
-
The
square root of 13728586421424732000 is 3705210712.1491392989 -
The
cube root of 13728586421424732000 is 2394465.6284842795
Scales and comparisons
How big is 13728586421424732000?- 13,728,586,421,424,732,000 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
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To count from 1 to 13,728,586,421,424,732,000 would take you about two hundred ninety-three billion, two hundred seventy-four million, seven hundred one thousand and nine 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 13728586421424732000 cubic inches would be around 199538.8 feet tall.
Recreational maths with 13728586421424732000
- 13728586421424732000 backwards is 00023742412468582731
- The number of decimal digits it has is: 20
- The sum of 13728586421424732000's digits is 69
- More coming soon!
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The information we have on file for 13728586421424732000 includes mathematical data and numerical statistics calculated using standard algorithms and methods. We are adding more all the time. If there are any features you would like to see, please contact us. Information provided for educational use, intellectual curiosity and fun!
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