12972236438369600
12,972,236,438,369,600 is an even composite number composed of six prime numbers multiplied together.
What does the number 12972236438369600 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 1764 divisors.
12972236438369600 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, seven hundred sixty-four divisors.
Prime factorization of 12972236438369600:
26 × 52 × 76 × 17 × 37 × 3312
(2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 7 × 7 × 7 × 7 × 7 × 7 × 17 × 37 × 331 × 331)See below for interesting mathematical facts about the number 12972236438369600 from the Numbermatics database.
Names of 12972236438369600
- Cardinal: 12972236438369600 can be written as Twelve quadrillion, nine hundred seventy-two trillion, two hundred thirty-six billion, four hundred thirty-eight million, three hundred sixty-nine thousand, six hundred.
Scientific notation
- Scientific notation: 1.29722364383696 × 1016
Factors of 12972236438369600
Divisors of 12972236438369600
- Number of divisors d(n): 1764
-
Complete list of divisors:
1 2 4 5 7 8 10 14 16 17 20 25 28 32 34 35 37 40 49 50 56 64 68 70 74 80 85 98 100 112 119 136 140 148 160 170 175 185 196 200 224 238 245 259 272 280 296 320 331 340 343 350 370 392 400 425 448 476 490 518 544 560 592 595 629 662 680 686 700 740 784 800 833 850 925 952 980 1036 1088 1120 1184 1190 1225 1258 1295 1324 1360 1372 1400 1480 1568 1600 1655 1666 1700 1715 1813 1850 1904 1960 2072 2240 2317 2368 2380 2401 2450 2516 2590 2648 2720 2744 2800 2960 2975 3136 3145 3310 3332 3400 3430 3626 3700 3808 3920 4144 4165 4403 4634 4760 4802 4900 5032 5180 5296 5440 5488 5600 5627 5831 5920 5950 6290 6475 6620 6664 6800 6860 7252 7400 7616 7840 8275 8288 8330 8575 8806 9065 9268 9520 9604 9800 10064 10360 10592 10976 11200 11254 11585 11662 11840 11900 12005 12247 12580 12691 12950 13240 13328 13600 13720 14504 14800 15680 15725 16219 16550 16576 16660 16807 17150 17612 18130 18536 19040 19208 19600 20128 20720 20825 21184 21952 22015 22508 23170 23324 23800 24010 24494 25160 25382 25900 26480 26656 27200 27440 28135 29008 29155 29600 30821 31450 32438 33100 33320 33614 34300 35224 36260 37072 38080 38416 39200 39389 40256 40817 41440 41650 44030 45016 45325 46340 46648 47600 48020 48988 50320 50764 51800 52960 53312 54880 56270 57925 58016 58310 59200 60025 61235 61642 62900 63455 64876 66200 66640 67228 68600 70448 72520 74144 76832 78400 78778 81095 81634 82880 83300 84035 85729 88060 88837 90032 90650 92680 93296 95200 96040 97976 100640 101528 103600 105920 109561 109760 110075 112540 113533 115850 116032 116620 117649 120050 122470 123284 125800 126910 129752 132400 133280 134456 137200 140675 140896 145040 145775 148288 153664 154105 157556 162190 163268 166600 168070 171458 176120 177674 180064 181300 185360 186592 190400 192080 195952 196945 201280 203056 204085 207200 208199 215747 219122 220150 225080 227066 231700 233240 235298 240100 244940 246568 251600 253820 259504 264800 266560 268912 274400 275723 281350 281792 285719 290080 291550 306175 308210 315112 317275 324380 326536 333200 336140 342916 352240 355348 360128 362600 370720 373184 384160 391904 393890 405475 406112 408170 414400 416398 420175 428645 431494 438244 440300 444185 450160 454132 463400 466480 470596 480200 489880 493136 503200 507640 519008 529600 537824 547805 548800 551446 562700 567665 571438 580160 583100 588245 600103 612350 616420 621859 630224 634550 648760 653072 666400 672280 685832 704480 710696 725200 741440 766927 768320 770525 783808 787780 794731 810950 812224 816340 832796 840350 857290 862988 876488 880600 888370 900320 908264 926800 932960 941192 960400 979760 984725 986272 1006400 1015280 1020425 1038016 1040995 1075648 1078735 1095610 1102892 1125400 1135330 1142876 1166200 1176490 1200206 1224700 1232840 1243718 1260448 1269100 1297520 1306144 1332800 1344560 1371664 1378615 1408960 1421392 1428595 1450400 1457393 1510229 1533854 1541050 1575560 1589462 1621900 1632680 1665592 1680700 1714580 1725976 1752976 1761200 1776740 1800640 1816528 1853600 1862537 1865920 1882384 1920800 1930061 1959520 1969450 1972544 2000033 2030560 2040850 2081990 2143225 2157470 2191220 2205784 2220925 2250800 2270660 2285752 2332400 2352980 2400412 2449400 2465680 2487436 2520896 2538200 2595040 2612288 2689120 2739025 2743328 2757230 2838325 2842784 2857190 2900800 2914786 2941225 3000515 3020458 3067708 3082100 3109295 3151120 3178924 3243800 3265360 3331184 3361400 3429160 3451952 3505952 3522400 3553480 3633056 3707200 3725074 3764768 3834635 3841600 3860122 3919040 3938900 3973655 4000066 4053757 4061120 4081700 4163980 4200721 4286450 4314940 4353013 4382440 4411568 4441850 4501600 4541320 4571504 4664800 4705960 4800824 4898800 4931360 4974872 5076400 5190080 5204975 5368489 5378240 5393675 5478050 5486656 5514460 5563117 5676650 5685568 5714380 5829572 5882450 6001030 6040916 6135416 6164200 6218590 6302240 6357848 6487600 6530720 6662368 6722800 6858320 6893075 6903904 7011904 7044800 7106960 7142975 7266112 7286965 7450148 7529536 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156518296795 158907274400 159963455680 164668263200 165462199469 168838979050 174960029650 178878053480 184139172700 189099656536 192958833200 194661411140 195955233208 199954319600 204432061120 206235873424 210444768800 211843495360 216113893184 219125615513 222470184160 223597566850 223948837952 230535568480 236374570670 243326763925 244944041510 250429274872 255540076400 257794841780 264804369200 270142366480 272525975596 278087730200 279936047440 286204885568 288169460600 294622676320 311458257824 313036593590 317814548800 322243552225 329336526400 330924398938 337677958100 340657469495 349920059300 357756106960 368278345400 378199313072 385917666400 389322822280 391910466416 399908639200 412471746848 420889537600 438251231026 444940368320 447195133700 461071136960 472749141340 476920457293 486653527850 489888083020 500858549744 511080152800 515589683560 529608738400 540284732960 545051951192 556175460400 559872094880 576338921200 589245352640 590936426675 612360103775 622916515648 626073187180 644487104450 661848797876 675355916200 681314938990 699840118600 715512213920 736556690800 756398626144 771835332800 778645644560 782591483975 783820932832 799817278400 824943493696 827310997345 876502462052 894390267400 945498282680 953840914586 973307055700 979776166040 1001717099488 1022160305600 1031179367120 1059217476800 1080569465920 1090103902384 1095628077565 1112350920800 1119744189760 1152677842400 1158235396283 1181872853350 1224720207550 1252146374360 1288974208900 1323697595752 1350711832400 1362629877980 1399680237200 1431024427840 1473113381600 1512797252288 1557291289120 1565182967950 1567641865664 1654621994690 1703287347475 1753004924104 1788780534800 1890996565360 1907681829172 1946614111400 1959552332080 2003434198976 2062358734240 2180207804768 2191256155130 2224701841600 2305355684800 2316470792566 2363745706700 2384602286465 2449440415100 2504292748720 2577948417800 2647395191504 2701423664800 2725259755960 2799360474400 2946226763200 3114582578240 3130365935900 3309243989380 3406574694950 3506009848208 3577561069600 3781993130720 3815363658344 3893228222800 3919104664160 4124717468480 4136554986725 4360415609536 4382512310260 4632941585132 4727491413400 4769204572930 4898880830200 5008585497440 5155896835600 5294790383008 5402847329600 5450519511920 5478140387825 5598720948800 5791176981415 6260731871800 6618487978760 6813149389900 7012019696416 7155122139200 7563986261440 7630727316688 7786456445600 7838209328320 8107647773981 8273109973450 8765024620520 9265883170264 9454982826800 9538409145860 9797761660400 10017170994880 10311793671200 10589580766016 10901039023840 10956280775650 11582353962830 11923011432325 12521463743600 13236975957520 13626298779800 14024039392832 15261454633376 15572912891200 16215295547962 16546219946900 17530049241040 18531766340528 18909965653600 19076818291720 19595523320800 20623587342400 21802078047680 21912561551300 23164707925660 23846022864650 25042927487200 26473951915040 27252597559600 28955884907075 30522909266752 32430591095924 33092439893800 35060098482080 37063532681056 37819931307200 38153636583440 39191046641600 40538238869905 43825123102600 46329415851320 47692045729300 50085854974400 52947903830080 54505195119200 57911769814150 64861182191848 66184879787600 70120196964160 74127065362112 76307273166880 81076477739810 87650246205200 92658831702640 95384091458600 109010390238400 115823539628300 129722364383696 132369759575200 152614546333760 162152955479620 175300492410400 185317663405280 190768182917200 202691194349525 231647079256600 259444728767392 264739519150400 324305910959240 350600984820800 370635326810560 381536365834400 405382388699050 463294158513200 518889457534784 648611821918480 763072731668800 810764777398100 926588317026400 1297223643836960 1621529554796200 1853176634052800 2594447287673920 3243059109592400 6486118219184800 12972236438369600
- Sum of all divisors σ(n): 40618702678510908
- Sum of proper divisors (its aliquot sum) s(n): 27646466240141308
- 12972236438369600 is an abundant number, because the sum of its proper divisors (27646466240141308) is greater than itself. Its abundance is 14674229801771708
Bases of 12972236438369600
- Binary: 1011100001011000101110001010001101100111110101010000002
- Hexadecimal: 0x2E162E28D9F540
- Base-36: 3JQ9V5E6OU8
Squares and roots of 12972236438369600
- 12972236438369600 squared (129722364383696002) is 168278918212964005019106204160000
- 12972236438369600 cubed (129722364383696003) is 2182953914651629398062775884051280835137536000000
-
The
square root of 12972236438369600 is 113895726.1637573475 -
The
cube root of 12972236438369600 is 234965.9611985383
Scales and comparisons
How big is 12972236438369600?- 12,972,236,438,369,600 seconds is equal to 412,476,992 years, 50 weeks, 6 days, 2 hours, 13 minutes, 20 seconds.
-
To count from 1 to 12,972,236,438,369,600 would take you about one billion, two hundred thirty-seven million, four hundred thirty thousand, nine hundred seventy-eight 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 12972236438369600 cubic inches would be around 19580.5 feet tall.
Recreational maths with 12972236438369600
- 12972236438369600 backwards is 00696383463227921
- The number of decimal digits it has is: 17
- The sum of 12972236438369600's digits is 71
- More coming soon!
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Cite this page
MLA style:
"Number 12972236438369600 - Facts about the integer". Numbermatics.com. 2024. Web. 25 June 2024.
APA style:
Numbermatics. (2024). Number 12972236438369600 - Facts about the integer. Retrieved 25 June 2024, from https://numbermatics.com/n/12972236438369600/
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Numbermatics. 2024. "Number 12972236438369600 - Facts about the integer". https://numbermatics.com/n/12972236438369600/
The information we have on file for 12972236438369600 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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