131349951448268800
131,349,951,448,268,800 is an even composite number composed of five prime numbers multiplied together.
131349951448268800 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one thousand, four hundred forty divisors.
Prime factorization of 131349951448268800:
214 × 52 × 13 × 413 × 713
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 13 × 41 × 41 × 41 × 71 × 71 × 71)See below for interesting mathematical facts about the number 131349951448268800 from the Numbermatics database.
Names of 131349951448268800
- Cardinal: 131349951448268800 can be written as One hundred thirty-one quadrillion, three hundred forty-nine trillion, nine hundred fifty-one billion, four hundred forty-eight million, two hundred sixty-eight thousand, eight hundred.
Scientific notation
- Scientific notation: 1.313499514482688 × 1017
Factors of 131349951448268800
Divisors of 131349951448268800
- Number of divisors d(n): 1440
-
Complete list of divisors:
1 2 4 5 8 10 13 16 20 25 26 32 40 41 50 52 64 65 71 80 82 100 104 128 130 142 160 164 200 205 208 256 260 284 320 325 328 355 400 410 416 512 520 533 568 640 650 656 710 800 820 832 923 1024 1025 1040 1066 1136 1280 1300 1312 1420 1600 1640 1664 1681 1775 1846 2048 2050 2080 2132 2272 2560 2600 2624 2665 2840 2911 3200 3280 3328 3362 3550 3692 4096 4100 4160 4264 4544 4615 5041 5120 5200 5248 5330 5680 5822 6400 6560 6656 6724 7100 7384 8192 8200 8320 8405 8528 9088 9230 10082 10240 10400 10496 10660 11360 11644 12800 13120 13312 13325 13448 14200 14555 14768 16384 16400 16640 16810 17056 18176 18460 20164 20480 20800 20992 21320 21853 22720 23075 23288 25205 25600 26240 26624 26650 26896 28400 29110 29536 32800 33280 33620 34112 36352 36920 37843 40328 40960 41600 41984 42025 42640 43706 45440 46150 46576 50410 51200 52480 53248 53300 53792 56800 58220 59072 65533 65600 66560 67240 68224 68921 72704 72775 73840 75686 80656 81920 83200 83968 84050 85280 87412 90880 92300 93152 100820 102400 104960 106496 106600 107584 109265 113600 116440 118144 119351 126025 131066 131200 133120 134480 136448 137842 145408 145550 147680 151372 161312 166400 167936 168100 170560 174824 181760 184600 186304 189215 201640 204800 206681 209920 212992 213200 215168 218530 227200 232880 236288 238702 252050 262132 262400 266240 268960 272896 275684 290816 291100 295360 302744 322624 327665 332800 335872 336200 341120 344605 349648 357911 363520 369200 372608 378430 403280 409600 413362 419840 426400 430336 437060 454400 465760 472576 477404 504100 524264 524800 532480 537920 545792 546325 551368 581632 582200 590720 596755 605488 645248 655330 665600 671744 672400 682240 689210 699296 715822 727040 738400 745216 756860 806560 826724 839680 852800 860672 874120 895973 908800 931520 945152 946075 954808 1008200 1033405 1048528 1049600 1064960 1075840 1091584 1092650 1102736 1163264 1164400 1181440 1193510 1210976 1290496 1310660 1331200 1344800 1364480 1378420 1398592 1431644 1454080 1476800 1490432 1513720 1551563 1613120 1638325 1653448 1679360 1705600 1721344 1723025 1748240 1789555 1791946 1817600 1863040 1890304 1892150 1909616 2016400 2066810 2097056 2099200 2151680 2183168 2185300 2205472 2328800 2362880 2387020 2421952 2580992 2621320 2662400 2686853 2689600 2728960 2756840 2797184 2863288 2908160 2953600 2980864 2983775 3027440 3103126 3226240 3276650 3306896 3358720 3411200 3442688 3446050 3496480 3579110 3583892 3635200 3726080 3780608 3784300 3819232 4032800 4133620 4194112 4198400 4303360 4366336 4370600 4410944 4479865 4652843 4657600 4725760 4774040 4843904 4893391 5161984 5167025 5242640 5324800 5373706 5379200 5457920 5513680 5594368 5726576 5816320 5907200 5961728 5967550 6054880 6206252 6452480 6553300 6613792 6822400 6885376 6892100 6992960 7158220 7167784 7270400 7452160 7561216 7568600 7638464 7757815 8065600 8267240 8388224 8396800 8473921 8606720 8732672 8741200 8821888 8947775 8959730 9305686 9315200 9451520 9548080 9687808 9786782 10323968 10334050 10485280 10747412 10758400 10915840 11027360 11188736 11453152 11814400 11923456 11935100 12109760 12412504 12904960 13106600 13227584 13434265 13644800 13770752 13784200 13985920 14316440 14335568 14540800 14674351 14904320 15122432 15137200 15276928 15515630 16131200 16534480 16776448 16793600 16947842 17213440 17482400 17643776 17895550 17919460 18611372 18630400 18903040 19096160 19375616 19573564 20647936 20668100 20970560 21494824 21516800 21831680 22054720 22377472 22399325 22906304 23264215 23628800 23846912 23870200 24219520 24466955 24825008 25809920 26213200 26455168 26868530 27289600 27541504 27568400 27971840 28632880 28671136 29081600 29348702 29808640 30274400 30553856 31031260 32262400 33068960 33552896 33895684 34426880 34964800 35287552 35791100 35838920 37222744 37260800 37806080 38192320 38751232 38789075 39147128 41295872 41336200 41941120 42369605 42989648 43033600 43663360 44109440 44754944 44798650 45812608 46528430 47257600 47693824 47740400 48439040 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9777233920 9930003200 10021664768 10178253280 10582067200 10846618880 11005349888 11016097300 11117784352 11468454400 11739480800 11911278080 12032967820 12209060032 12221542400 12527080960 12710404096 12722816600 13421158400 13558273600 13756687360 13897230440 14100604544 14115020800 14660034560 14679621632 14889097600 15026535424 15041209775 15261325040 15500492800 15642858166 15658851200 15888005120 16285205248 16931307520 17195859200 17354590208 17371538050 17625755680 18066399572 18325043200 18349527040 18783169280 19058044928 19076656300 19252748512 19860006400 20043329536 20356506560 21164134400 21693237760 22010699776 22032194600 22235568704 22582999465 22936908800 23478961600 23822556160 24065935640 24418120064 24443084800 24667584031 25054161920 25420808192 25445633200 26842316800 27116547200 27513374720 27794460880 28201209088 28230041600 29320069120 29778195200 30053070848 30082419550 30522650080 31285716332 31317702400 31776010240 32570410496 34391718400 34709180416 34743076100 35251511360 36132799144 36650086400 36699054080 37566338560 38116089856 38153312600 38505497024 39107145415 39720012800 40086659072 40713013120 42328268800 43386475520 44021399552 44064389200 44471137408 45165998930 45873817600 46957923200 47645112320 48131871280 48836240128 48886169600 49335168062 50108323840 50891266400 54233094400 55026749440 55588921760 56402418176 59556390400 60106141696 60164839100 61045300160 62571432664 62635404800 63552020480 65140820992 68783436800 69418360832 69486152200 70503022720 72265598288 73300172800 73398108160 75132677120 76232179712 76306625200 77010994048 78214290830 79440025600 80173318144 81426026240 84656537600 86772951040 88128778400 88942274816 90331997860 91747635200 93915846400 95290224640 96263742560 97672480256 98670336124 100216647680 101782532800 108466188800 110053498880 111177843520 112804836352 112914997325 119112780800 120212283392 120329678200 122090600320 123337920155 125142865328 125270809600 127104040960 130281641984 137566873600 138836721664 138972304400 141006045440 144531196576 146600345600 150265354240 152613250400 154021988096 156428581660 158880051200 162852052480 173545902080 176257556800 177884549632 180663995720 183495270400 187831692800 190580449280 192527485120 195344960512 195535727075 197340672248 200433295360 203565065600 216932377600 220106997760 222355687040 225609672704 225829994650 238225561600 240424566784 240659356400 244181200640 246675840310 250285730656 250541619200 260563283968 275133747200 277944608800 282012090880 289062393152 300530708480 305226500800 308043976192 312857163320 317760102400 320678592403 325704104960 347091804160 352515113600 355769099264 361327991440 366990540800 375663385600 381160898560 385054970240 390689921024 391071454150 394681344496 400866590720 407130131200 433864755200 444711374080 451219345408 451659989300 476451123200 481318712800 488362401280 493351680620 500571461312 501083238400 521126567936 550267494400 555889217600 564024181760 578124786304 601061416960 610453001600 616087952384 616689600775 625714326640 635520204800 641357184806 651408209920 694183608320 705030227200 711538198528 722655982880 751326771200 770109940480 781379842048 782142908300 789362688992 814260262400 867729510400 889422748160 902438690816 903319978600 952902246400 962637425600 976724802560 986703361240 1001142922624 1002166476800 1042253135872 1100534988800 1111778435200 1128048363520 1156249572608 1202122833920 1220906003200 1232175904768 1233379201550 1251428653280 1282714369612 1302816419840 1410060454400 1423076397056 1445311965760 1502653542400 1540219880960 1562759684096 1564285816600 1578725377984 1603392962015 1628520524800 1735459020800 1778845496320 1804877381632 1806639957200 1905804492800 1925274851200 1953449605120 1973406722480 2002285845248 2004332953600 2223556870400 2256096727040 2312499145216 2441812006400 2464351809536 2466758403100 2502857306560 2565428739224 2605632839680 2820120908800 2846152794112 2890623931520 3005307084800 3080439761920 3125519368192 3128571633200 3157450755968 3206785924030 3257041049600 3470918041600 3557690992640 3613279914400 3850549702400 3906899210240 3946813444960 4004571690496 4447113740800 4512193454080 4624998290432 4883624012800 4928703619072 4933516806200 5005714613120 5130857478448 5211265679360 5640241817600 5692305588224 5781247863040 6010614169600 6160879523840 6257143266400 6314901511936 6413571848060 6514082099200 7115381985280 7226559828800 7701099404800 7813798420480 7893626889920 8009143380992 8016964810075 8894227481600 9024386908160 9249996580864 9767248025600 9857407238144 9867033612400 10011429226240 10261714956896 11280483635200 11562495726080 12321759047680 12514286532800 12629803023872 12827143696120 13028164198400 14230763970560 14453119657600 15402198809600 15627596840960 15787253779840 16018286761984 16033929620150 17788454963200 18499993161728 19534496051200 19734067224800 20022858452480 20523429913792 22560967270400 23124991452160 24643518095360 25028573065600 25259606047744 25654287392240 26056328396800 28461527941120 28906239315200 30804397619200 31574507559680 32036573523968 32067859240300 35576909926400 36999986323456 39068992102400 39468134449600 40045716904960 41046859827584 45121934540800 46249982904320 49287036190720 50057146131200 50519212095488 51308574784480 57812478630400 61608795238400 63149015119360 64073147047936 64135718480600 71153819852800 73999972646912 78137984204800 78936268899200 80091433809920 82093719655168 92499965808640 100114292262400 101038424190976 102617149568960 115624957260800 123217590476800 126298030238720 128146294095872 128271436961200 142307639705600 157872537798400 160182867619840 164187439310336 184999931617280 200228584524800 202076848381952 205234299137920 231249914521600 246435180953600 252596060477440 256542873922400 315745075596800 320365735239680 328374878620672 369999863234560 400457169049600 404153696763904 410468598275840 462499829043200 505192120954880 513085747844800 631490151193600 640731470479360 656749757241344 800914338099200 820937196551680 924999658086400 1010384241909760 1026171495689600 1262980302387200 1313499514482688 1601828676198400 1641874393103360 1849999316172800 2020768483819520 2052342991379200 2525960604774400 2626999028965376 3203657352396800 3283748786206720 4104685982758400 5051921209548800 5253998057930752 6567497572413440 8209371965516800 10103842419097600 13134995144826880 16418743931033600 26269990289653760 32837487862067200 65674975724134400 131349951448268800
- Sum of all divisors σ(n): 364701063944746368
- Sum of proper divisors (its aliquot sum) s(n): 233351112496477568
- 131349951448268800 is an abundant number, because the sum of its proper divisors (233351112496477568) is greater than itself. Its abundance is 102001161048208768
Bases of 131349951448268800
- Binary: 1110100101010011000010101101111010101011011000000000000002
- Hexadecimal: 0x1D2A615BD56C000
- Base-36: ZXBO6O91VR4
Squares and roots of 131349951448268800
- 131349951448268800 squared (1313499514482688002) is 17252809745462571030602517053440000
- 131349951448268800 cubed (1313499514482688003) is 2266155722412727498430472276248961977965084672000000
-
The
square root of 131349951448268800 is 362422338.5061533427 -
The
cube root of 131349951448268800 is 508327.1492145407
Scales and comparisons
How big is 131349951448268800?- 131,349,951,448,268,800 seconds is equal to 4,176,522,163 years, 50 weeks, 6 days, 7 hours, 6 minutes, 40 seconds.
-
To count from 1 to 131,349,951,448,268,800 would take you about twelve billion, five hundred twenty-nine million, five hundred sixty-six thousand, four hundred ninety-one 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 131349951448268800 cubic inches would be around 42360.6 feet tall.
Recreational maths with 131349951448268800
- 131349951448268800 backwards is 008862844159943131
- The number of decimal digits it has is: 18
- The sum of 131349951448268800's digits is 76
- More coming soon!
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"Number 131349951448268800 - Facts about the integer". Numbermatics.com. 2024. Web. 9 June 2024.
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Numbermatics. (2024). Number 131349951448268800 - Facts about the integer. Retrieved 9 June 2024, from https://numbermatics.com/n/131349951448268800/
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The information we have on file for 131349951448268800 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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