130931627126400
130,931,627,126,400 is an even composite number composed of six prime numbers multiplied together.
What does the number 130931627126400 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 768 divisors.
130931627126400 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of seven hundred sixty-eight divisors.
Prime factorization of 130931627126400:
27 × 33 × 52 × 17 × 2411 × 36973
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 5 × 17 × 2411 × 36973)See below for interesting mathematical facts about the number 130931627126400 from the Numbermatics database.
Names of 130931627126400
- Cardinal: 130931627126400 can be written as One hundred thirty trillion, nine hundred thirty-one billion, six hundred twenty-seven million, one hundred twenty-six thousand, four hundred.
Scientific notation
- Scientific notation: 1.309316271264 × 1014
Factors of 130931627126400
Divisors of 130931627126400
- Number of divisors d(n): 768
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 17 18 20 24 25 27 30 32 34 36 40 45 48 50 51 54 60 64 68 72 75 80 85 90 96 100 102 108 120 128 135 136 144 150 153 160 170 180 192 200 204 216 225 240 255 270 272 288 300 306 320 340 360 384 400 408 425 432 450 459 480 510 540 544 576 600 612 640 675 680 720 765 800 816 850 864 900 918 960 1020 1080 1088 1152 1200 1224 1275 1350 1360 1440 1530 1600 1632 1700 1728 1800 1836 1920 2040 2160 2176 2295 2400 2411 2448 2550 2700 2720 2880 3060 3200 3264 3400 3456 3600 3672 3825 4080 4320 4590 4800 4822 4896 5100 5400 5440 5760 6120 6528 6800 7200 7233 7344 7650 8160 8640 9180 9600 9644 9792 10200 10800 10880 11475 12055 12240 13600 14400 14466 14688 15300 16320 17280 18360 19288 19584 20400 21600 21699 22950 24110 24480 27200 28800 28932 29376 30600 32640 36165 36720 36973 38576 40800 40987 43200 43398 45900 48220 48960 54400 57864 58752 60275 61200 65097 72330 73440 73946 77152 81600 81974 86400 86796 91800 96440 97920 108495 110919 115728 120550 122400 122961 130194 144660 146880 147892 154304 163200 163948 173592 180825 183600 184865 192880 204935 216990 221838 231456 241100 244800 245922 260388 289320 293760 295784 308608 325485 327896 332757 347184 361650 367200 368883 369730 385760 409870 433980 443676 462912 482200 489600 491844 520776 542475 554595 578640 591568 614805 628541 650970 655792 665514 694368 723300 734400 737766 739460 771520 819740 867960 887352 924325 925824 964400 983688 998271 1024675 1041552 1084950 1106649 1109190 1157280 1183136 1229610 1257082 1301940 1311584 1331028 1388736 1446600 1468800 1475532 1478920 1543040 1627425 1639480 1663785 1735920 1774704 1844415 1848650 1885623 1928800 1967376 1996542 2049350 2083104 2169900 2213298 2218380 2314560 2366272 2459220 2514164 2603880 2623168 2662056 2772975 2777472 2893200 2951064 2957840 3074025 3142705 3254850 3278960 3327570 3471840 3549408 3688830 3697300 3771246 3857600 3934752 3993084 4098700 4166208 4339800 4426596 4436760 4629120 4732544 4918440 4991355 5028328 5207760 5246336 5324112 5533245 5545950 5656869 5786400 5902128 5915680 6148050 6285410 6509700 6557920 6655140 6943680 7098816 7377660 7394600 7542492 7715200 7869504 7986168 8197400 8318925 8332416 8679600 8853192 8873520 9222075 9428115 9836880 9982710 10056656 10415520 10648224 11066490 11091900 11313738 11572800 11804256 11831360 12296100 12570820 13019400 13115840 13310280 13887360 14197632 14755320 14789200 15084984 15713525 15739008 15972336 16394800 16637850 16970607 17359200 17706384 17747040 18444150 18856230 19673760 19965420 20113312 20831040 21296448 22132980 22183800 22627476 23145600 23608512 23662720 24592200 24956775 25141640 26038800 26231680 26620560 27666225 28284345 29510640 29578400 30169968 31427050 31944672 32789600 33275700 33941214 34718400 35412768 35494080 36888300 37712460 39347520 39930840 40226624 41662080 42592896 44265960 44367600 45254952 47140575 47217024 49184400 49913550 50283280 52077600 53241120 55332450 56568690 59021280 59156800 60339936 62854100 63889344 65579200 66551400 67882428 69436800 70825536 70988160 73776600 75424920 78695040 79861680 80453248 84853035 88531920 88735200 89141903 90509904 94281150 98368800 99827100 100566560 104155200 106482240 110664900 113137380 118042560 118313600 120679872 125708200 127778688 131158400 133102800 135764856 141421725 141651072 147553200 150849840 159723360 169706070 177063840 177470400 178283806 181019808 188562300 196737600 199654200 201133120 208310400 212964480 221329800 226274760 236085120 241359744 251416400 266205600 267425709 271529712 282843450 295106400 301699680 319446720 339412140 354127680 354940800 356567612 362039616 377124600 393475200 399308400 402266240 424265175 442659600 445709515 452549520 502832800 532411200 534851418 543059424 565686900 590212800 603399360 638893440 678824280 708255360 713135224 724079232 754249200 798616800 802277127 848530350 885319200 891419030 905099040 1005665600 1064822400 1069702836 1086118848 1131373800 1180425600 1206798720 1337128545 1357648560 1426270448 1508498400 1515412351 1597233600 1604554254 1697060700 1770638400 1782838060 1810198080 2011331200 2139405672 2172237696 2228547575 2262747600 2406831381 2674257090 2715297120 2852540896 3016996800 3030824702 3194467200 3209108508 3394121400 3541276800 3565676120 3620396160 4011385635 4278811344 4457095150 4525495200 4546237053 4813662762 5348514180 5430594240 5705081792 6033993600 6061649404 6418217016 6685642725 6788242800 7131352240 7577061755 8022771270 8557622688 8914190300 9050990400 9092474106 9627325524 10697028360 10861188480 11410163584 12034156905 12123298808 12836434032 13371285450 13576485600 13638711159 14262704480 15154123510 16045542540 17115245376 17828380600 18101980800 18184948212 19254651048 20056928175 21394056720 22731185265 24068313810 24246597616 25672868064 26742570900 27152971200 27277422318 28525408960 30308247020 32091085080 34230490752 35656761200 36369896424 37885308775 38509302096 40113856350 40916133477 42788113440 45462370530 48136627620 48493195232 51345736128 53485141800 54305942400 54554844636 57050817920 60170784525 60616494040 64182170160 68193555795 71313522400 72739792848 75770617550 77018604192 80227712700 81832266954 85576226880 90924741060 96273255240 96986390464 102691472256 106970283600 109109689272 113655926325 120341569050 121232988080 128364340320 136387111590 142627044800 145479585696 151541235100 154037208384 160455425400 163664533908 171152453760 181849482120 192546510480 193972780928 204580667385 213940567200 218219378544 227311852650 240683138100 242465976160 256728680640 272774223180 285254089600 290959171392 303082470200 308074416768 320910850800 327329067816 340967778975 363698964240 385093020960 409161334770 427881134400 436438757088 454623705300 481366276200 484931952320 513457361280 545548446360 581918342784 606164940400 641821701600 654658135632 681935557950 727397928480 770186041920 818322669540 855762268800 872877514176 909247410600 962732552400 969863904640 1022903336925 1091096892720 1212329880800 1283643403200 1309316271264 1363871115900 1454795856960 1540372083840 1636645339080 1745755028352 1818494821200 1925465104800 2045806673850 2182193785440 2424659761600 2567286806400 2618632542528 2727742231800 2909591713920 3273290678160 3636989642400 3850930209600 4091613347700 4364387570880 4849319523200 5237265085056 5455484463600 6546581356320 7273979284800 7701860419200 8183226695400 8728775141760 10910968927200 13093162712640 14547958569600 16366453390800 21821937854400 26186325425280 32732906781600 43643875708800 65465813563200 130931627126400
- Sum of all divisors σ(n): 507584218780800
- Sum of proper divisors (its aliquot sum) s(n): 376652591654400
- 130931627126400 is an abundant number, because the sum of its proper divisors (376652591654400) is greater than itself. Its abundance is 245720964528000
Bases of 130931627126400
- Binary: 111011100010100111001010001111111101110100000002
- Hexadecimal: 0x7714E51FEE80
- Base-36: 1AET5Q8IO0
Squares and roots of 130931627126400
- 130931627126400 squared (1309316271264002) is 17143090981966644321576960000
- 130931627126400 cubed (1309316271264003) is 2244572796244807100874966420761247744000000
-
The
square root of 130931627126400 is 11442535.8695701715 -
The
cube root of 130931627126400 is 50778.6933927003
Scales and comparisons
How big is 130931627126400?- 130,931,627,126,400 seconds is equal to 4,163,220 years, 38 weeks, 5 days.
-
To count from 1 to 130,931,627,126,400 would take you about ten million, four hundred eight thousand and fifty-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 130931627126400 cubic inches would be around 4231.6 feet tall.
Recreational maths with 130931627126400
- 130931627126400 backwards is 004621726139031
- 130931627126400 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 130931627126400's digits is 45
- More coming soon!
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The information we have on file for 130931627126400 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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