131688399648819200
131,688,399,648,819,200 is an even composite number composed of five prime numbers multiplied together.
131688399648819200 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one thousand, seven hundred twenty-eight divisors.
Prime factorization of 131688399648819200:
211 × 52 × 113 × 593 × 972
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 11 × 11 × 11 × 59 × 59 × 59 × 97 × 97)See below for interesting mathematical facts about the number 131688399648819200 from the Numbermatics database.
Names of 131688399648819200
- Cardinal: 131688399648819200 can be written as One hundred thirty-one quadrillion, six hundred eighty-eight trillion, three hundred ninety-nine billion, six hundred forty-eight million, eight hundred nineteen thousand, two hundred.
Scientific notation
- Scientific notation: 1.316883996488192 × 1017
Factors of 131688399648819200
Divisors of 131688399648819200
- Number of divisors d(n): 1728
-
Complete list of divisors:
1 2 4 5 8 10 11 16 20 22 25 32 40 44 50 55 59 64 80 88 97 100 110 118 121 128 160 176 194 200 220 236 242 256 275 295 320 352 388 400 440 472 484 485 512 550 590 605 640 649 704 776 800 880 944 968 970 1024 1067 1100 1180 1210 1280 1298 1331 1408 1475 1552 1600 1760 1888 1936 1940 2048 2134 2200 2360 2420 2425 2560 2596 2662 2816 2950 3025 3104 3200 3245 3481 3520 3776 3872 3880 4268 4400 4720 4840 4850 5120 5192 5324 5335 5632 5723 5900 6050 6208 6400 6490 6655 6962 7040 7139 7552 7744 7760 8536 8800 9409 9440 9680 9700 10240 10384 10648 10670 11264 11446 11737 11800 12100 12416 12800 12980 13310 13924 14080 14278 15104 15488 15520 16225 17072 17405 17600 18818 18880 19360 19400 20768 21296 21340 22528 22892 23474 23600 24200 24832 25600 25960 26620 26675 27848 28160 28556 28615 30208 30976 31040 32450 33275 34144 34810 35200 35695 37636 37760 38291 38720 38800 41536 42592 42680 45784 46948 47045 47200 48400 49664 51200 51920 53240 53350 55696 56320 57112 57230 58685 60416 61952 62080 62953 64900 66550 68288 69620 70400 71390 75272 75520 76582 77440 77600 78529 83072 85184 85360 87025 91568 93896 94090 94400 96800 99328 103499 103840 106480 106700 111392 112640 114224 114460 117370 120832 123904 124160 125906 129107 129800 133100 136576 139240 140800 142780 143075 150544 151040 153164 154880 155200 157058 166144 170368 170720 174050 178475 183136 187792 188180 188800 191455 193600 198656 205379 206998 207680 212960 213400 222784 228448 228920 234740 235225 247808 248320 251812 258214 259600 266200 273152 278480 281600 285560 286150 293425 301088 302080 306328 309760 310400 314116 314765 332288 337657 340736 341440 348100 356950 366272 375584 376360 377600 382910 387200 392645 410758 413996 415360 421201 425920 426800 445568 456896 457840 469480 470450 496640 503624 516428 517495 519200 532400 546304 555131 556960 563200 571120 572300 586850 602176 604160 612656 619520 620800 628232 629530 645535 664576 675314 681472 682880 692483 696200 713900 732544 751168 752720 755200 765820 774400 785290 821516 827992 830720 842402 851840 853600 891136 913792 915680 938960 940900 957275 993280 1007248 1026895 1032856 1034990 1038400 1064800 1092608 1110262 1113920 1138489 1142240 1144600 1173700 1204352 1225312 1239040 1241600 1256464 1259060 1291070 1329152 1350628 1362944 1365760 1384966 1392400 1427800 1465088 1502336 1505440 1510400 1531640 1548800 1570580 1573825 1643032 1655984 1661440 1684804 1688285 1703680 1707200 1782272 1827584 1831360 1877920 1881800 1914550 1963225 2014496 2053790 2065712 2069980 2076800 2106005 2129600 2185216 2220524 2227840 2259169 2276978 2284480 2289200 2347400 2408704 2450624 2483200 2512928 2518120 2582140 2587475 2701256 2725888 2731520 2769932 2775655 2784800 2855600 2930176 3004672 3010880 3020800 3063280 3097600 3141160 3147650 3227675 3286064 3311968 3322880 3369608 3376570 3407360 3414400 3462415 3564544 3655168 3662720 3714227 3755840 3763600 3829100 3926450 4028992 4107580 4131424 4139960 4153600 4212010 4259200 4441048 4455680 4518338 4553956 4568960 4578400 4633211 4694800 4817408 4901248 4966400 5025856 5036240 5134475 5164280 5174950 5402512 5463040 5539864 5551310 5569600 5692445 5711200 5860352 6009344 6021760 6106441 6126560 6195200 6282320 6295300 6455350 6572128 6623936 6645760 6739216 6753140 6814720 6828800 6924830 7129088 7310336 7325440 7428454 7511680 7527200 7617313 7658200 7852900 8057984 8215160 8262848 8279920 8307200 8424020 8441425 8518400 8882096 8911360 9036676 9107912 9137920 9156800 9266422 9389600 9634816 9802496 10051712 10072480 10268950 10328560 10349900 10530025 10805024 10926080 11079728 11102620 11139200 11295845 11384890 11422400 11720704 12018688 12043520 12212882 12253120 12523379 12564640 12590600 12910700 13144256 13247872 13478432 13506280 13629440 13657600 13849660 13878275 14620672 14650880 14856908 15023360 15054400 15234626 15316400 15705800 16115968 16430320 16525696 16559840 16614400 16848040 16882850 17036800 17312075 17764192 17822720 18073352 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343914757120 348751058392 349900094720 350623028800 359537173600 368926739456 378306232832 385685331680 386482202200 390006425600 396308020900 418370529280 419234931200 424253864848 425130422420 429893446400 435938822990 437375118400 448797476864 460207582208 461158424320 467643464662 472882791040 482106664600 494697218816 507274266752 509997132800 522963161600 530317331060 531413028025 559840151552 560996846080 575259477760 576448030400 591103488800 617096530688 618371523520 634092833440 636181990400 641197004800 662896663825 680208675872 687829514240 697502116784 699800189440 701246057600 719074347200 737853478912 756612465664 771370663360 772964404400 792616041800 838469862400 848507729696 850260844840 859786892800 871877645980 874750236800 920415164416 922316848640 935286929324 945765582080 964213329200 989394437632 1014548533504 1019994265600 1045926323200 1060634662120 1062826056050 1089847057475 1121993692160 1150518955520 1152896060800 1169108661655 1182206977600 1234193061376 1236743047040 1268185666880 1272363980800 1325793327650 1360417351744 1395004233568 1399600378880 1402492115200 1438148694400 1513224931328 1542741326720 1545928808800 1585232083600 1676939724800 1697015459392 1700521689680 1719573785600 1743755291960 1749500473600 1844633697280 1870573858648 1891531164160 1928426658400 1978788875264 2029097067008 2091852646400 2121269324240 2125652112100 2179694114950 2243987384320 2301037911040 2305792121600 2338217323310 2364413955200 2468386122752 2473486094080 2536371333760 2572039055641 2651586655300 2720834703488 2790008467136 2799200757760 2804984230400 2876297388800 3085482653440 3091857617600 3170464167200 3394030918784 3401043379360 3439147571200 3487510583920 3499000947200 3689267394560 3741147717296 3783062328320 3856853316800 3957577750528 4058194134016 4242538648480 4251304224200 4359388229900 4602075822080 4611584243200 4676434646620 4728827910400 4936772245504 4946972188160 5072742667520 5144078111282 5303173310600 5441669406976 5580016934272 5609968460800 5752594777600 5845543308275 6170965306880 6183715235200 6340928334400 6788061837568 6802086758720 6975021167840 6998001894400 7482295434592 7566124656640 7713706633600 8116388268032 8485077296960 8502608448400 8718776459800 9223168486400 9352869293240 9457655820800 9893944376320 10145485335040 10288156222564 10606346621200 10883338813952 11160033868544 11219936921600 11505189555200 11691086616550 12341930613760 12367430470400 12681856668800 12860195278205 13576123675136 13604173517440 13950042335680 13996003788800 14964590869184 15427413267200 16970154593920 17005216896800 17437552919600 18446336972800 18705738586480 18915311641600 19787888752640 20290970670080 20576312445128 21212693242400 21766677627904 22320067737088 23010379110400 23382173233100 24683861227520 24734860940800 25363713337600 25720390556410 27152247350272 27208347034880 27900084671360 29929181738368 30854826534400 33940309187840 34010433793600 34875105839200 37411477172960 37830623283200 40581941340160 41152624890256 42425386484800 43533355255808 44640135474176 46764346466200 49469721881600 50727426675200 51440781112820 54304494700544 54416694069760 55800169342720 59858363476736 61709653068800 64300976391025 67880618375680 68020867587200 69750211678400 74822954345920 82305249780512 84850772969600 89280270948352 93528692932400 98939443763200 101454853350400 102881562225640 108833388139520 111600338685440 119716726953472 123419306137600 128601952782050 135761236751360 136041735174400 139500423356800 149645908691840 164610499561024 169701545939200 187057385864800 202909706700800 205763124451280 217666776279040 223200677370880 239433453906944 257203905564100 271522473502720 272083470348800 279000846713600 299291817383680 329220999122048 339403091878400 374114771729600 411526248902560 446401354741760 478866907813888 514407811128200 544166940697600 558001693427200 598583634767360 658441998244096 678806183756800 748229543459200 823052497805120 1028815622256400 1088333881395200 1116003386854400 1197167269534720 1316883996488192 1357612367513600 1496459086918400 1646104995610240 2057631244512800 2232006773708800 2394334539069440 2633767992976384 2992918173836800 3292209991220480 4115262489025600 5267535985952768 5985836347673600 6584419982440960 8230524978051200 11971672695347200 13168839964881920 16461049956102400 26337679929763840 32922099912204800 65844199824409600 131688399648819200
- Sum of all divisors σ(n): 369130718243851200
- Sum of proper divisors (its aliquot sum) s(n): 237442318595032000
- 131688399648819200 is an abundant number, because the sum of its proper divisors (237442318595032000) is greater than itself. Its abundance is 105753918946212800
Bases of 131688399648819200
- Binary: 1110100111101100111100110110110100001101110001000000000002
- Hexadecimal: 0x1D3D9E6DA1B8800
- Base-36: 100NN3MP6PKW
Squares and roots of 131688399648819200
- 131688399648819200 squared (1316883996488192002) is 17341834602067124797887954288640000
- 131688399648819200 cubed (1316883996488192003) is 2283718445720737008212573539322009678551973888000000
-
The
square root of 131688399648819200 is 362888963.2502195567 -
The
cube root of 131688399648819200 is 508763.3753710007
Scales and comparisons
How big is 131688399648819200?- 131,688,399,648,819,200 seconds is equal to 4,187,283,769 years, 45 weeks, 16 hours, 53 minutes, 20 seconds.
-
To count from 1 to 131,688,399,648,819,200 would take you about twelve billion, five hundred sixty-one million, eight hundred fifty-one thousand, three hundred 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 131688399648819200 cubic inches would be around 42396.9 feet tall.
Recreational maths with 131688399648819200
- 131688399648819200 backwards is 002918846993886131
- The number of decimal digits it has is: 18
- The sum of 131688399648819200's digits is 86
- More coming soon!
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"Number 131688399648819200 - Facts about the integer". Numbermatics.com. 2024. Web. 9 May 2024.
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Numbermatics. (2024). Number 131688399648819200 - Facts about the integer. Retrieved 9 May 2024, from https://numbermatics.com/n/131688399648819200/
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Numbermatics. 2024. "Number 131688399648819200 - Facts about the integer". https://numbermatics.com/n/131688399648819200/
The information we have on file for 131688399648819200 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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