12972971224800
12,972,971,224,800 is an even composite number composed of seven prime numbers multiplied together.
12972971224800 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of eight hundred sixty-four divisors.
Prime factorization of 12972971224800:
25 × 32 × 52 × 17 × 19 × 757 × 7369
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 17 × 19 × 757 × 7369)See below for interesting mathematical facts about the number 12972971224800 from the Numbermatics database.
Names of 12972971224800
- Cardinal: 12972971224800 can be written as Twelve trillion, nine hundred seventy-two billion, nine hundred seventy-one million, two hundred twenty-four thousand, eight hundred.
Scientific notation
- Scientific notation: 1.29729712248 × 1013
Factors of 12972971224800
Divisors of 12972971224800
- Number of divisors d(n): 864
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Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 17 18 19 20 24 25 30 32 34 36 38 40 45 48 50 51 57 60 68 72 75 76 80 85 90 95 96 100 102 114 120 136 144 150 152 153 160 170 171 180 190 200 204 225 228 240 255 272 285 288 300 304 306 323 340 342 360 380 400 408 425 450 456 475 480 510 544 570 600 608 612 646 680 684 720 757 760 765 800 816 850 855 900 912 950 969 1020 1140 1200 1224 1275 1292 1360 1368 1425 1440 1514 1520 1530 1615 1632 1700 1710 1800 1824 1900 1938 2040 2271 2280 2400 2448 2550 2584 2720 2736 2850 2907 3028 3040 3060 3230 3400 3420 3600 3785 3800 3825 3876 4080 4275 4542 4560 4845 4896 5100 5168 5472 5700 5814 6056 6120 6460 6800 6813 6840 7200 7369 7570 7600 7650 7752 8075 8160 8550 9084 9120 9690 10200 10336 11355 11400 11628 12112 12240 12869 12920 13600 13626 13680 14383 14535 14738 15140 15200 15300 15504 16150 17100 18168 18925 19380 20400 22107 22710 22800 23256 24224 24225 24480 25738 25840 27252 27360 28766 29070 29476 30280 30600 31008 32300 34065 34200 36336 36845 37850 38607 38760 40800 43149 44214 45420 45600 46512 48450 51476 51680 54504 56775 57532 58140 58952 60560 61200 64345 64600 66321 68130 68400 71915 72672 72675 73690 75700 77214 77520 86298 88428 90840 93024 96900 102952 109008 110535 113550 115064 115821 116280 117904 121120 122400 125273 128690 129200 129447 132642 136260 136800 140011 143830 145350 147380 151400 154428 155040 170325 172596 176856 181680 184225 193035 193800 205904 215745 218016 221070 227100 230128 231642 232560 235808 244511 250546 257380 258400 258894 265284 272520 280022 287660 290700 294760 302800 308856 321725 331605 340650 345192 353712 359575 363360 368450 375819 386070 387600 411808 420033 431490 442140 454200 460256 463284 465120 489022 501092 514760 517788 530568 545040 552675 560044 575320 579105 581400 589520 605600 617712 626365 643450 647235 663210 681300 690384 700055 707424 719150 733533 736900 751638 772140 775200 840066 862980 884280 908400 926568 965175 978044 1002184 1029520 1035576 1061136 1078725 1090080 1105350 1120088 1127457 1150640 1158210 1162800 1179040 1222555 1235424 1252730 1260099 1286900 1294470 1326420 1362600 1380768 1400110 1438300 1467066 1473800 1503276 1544280 1658025 1680132 1725960 1768560 1816800 1853136 1879095 1930350 1956088 2004368 2059040 2071152 2100165 2122272 2157450 2200599 2210700 2240176 2254914 2301280 2316420 2325600 2380187 2445110 2505460 2520198 2573800 2588940 2652840 2725200 2800220 2876600 2895525 2934132 2947600 3006552 3088560 3131825 3236175 3316050 3360264 3451920 3500275 3537120 3667665 3706272 3758190 3860700 3912176 4008736 4142304 4200330 4314900 4401198 4421400 4480352 4509828 4632840 4760374 4890220 5010920 5040396 5147600 5177880 5305680 5450400 5578333 5600440 5637285 5753200 5791050 5868264 5895200 6013104 6112775 6177120 6263650 6300495 6472350 6632100 6720528 6903840 7000550 7140561 7335330 7516380 7721400 7824352 8400660 8629800 8802396 8842800 9019656 9265680 9395475 9520748 9780440 10021840 10080792 10295200 10355760 10500825 10611360 11002995 11156666 11200880 11274570 11506400 11582100 11736528 11900935 12026208 12225550 12527300 12600990 12944700 13264200 13441056 14001100 14281122 14670660 15032760 15442800 16734999 16801320 17259600 17604792 17685600 18039312 18338325 18531360 18790950 19041496 19560880 20043680 20161584 20711520 21001650 21421683 22005990 22313332 22401760 22549140 23164200 23473056 23801870 24451100 25054600 25201980 25889400 26528400 27891665 28002200 28186425 28562244 29341320 30065520 30885600 31502475 33469998 33602640 34519200 35209584 35702805 36078624 36676650 37581900 38082992 39121760 40323168 42003300 42843366 44011980 44626664 45098280 46328400 47603740 48902200 50109200 50204997 50403960 51778800 53056800 55014975 55783330 56004400 56372850 57124488 58682640 59504675 60131040 63004950 66939996 67205280 70419168 71405610 73353300 75163800 76165984 83674995 84006600 85686732 88023960 89253328 90196560 92656800 94831661 95207480 97804400 100218400 100409994 100807920 103557600 105988327 107108415 110029950 111566660 112008800 112745700 114248976 117365280 119009350 126009900 133879992 139458325 142811220 146706600 150327600 167349990 168013200 171373464 176047920 178506656 178514025 180393120 189663322 190414960 195608800 200819988 201615840 211976654 214216830 220059900 223133320 225491400 228497952 238018700 251024985 252019800 267759984 278916650 284494983 285622440 293413200 300655200 317964981 334699980 336026400 342746928 352095840 357028050 379326644 380829920 401639976 418374975 423953308 428433660 440119800 446266640 450982800 474158305 476037400 502049970 504039600 529941635 535519968 535542075 557833300 568989966 571244880 586826400 635929962 669399960 685493856 714056100 758653288 803279952 836749950 847906616 853484949 856867320 880239600 892533280 901965600 948316610 952074800 953894943 1004099940 1008079200 1059883270 1071084150 1115666600 1137979932 1142489760 1255124925 1271859924 1338799920 1422474915 1428112200 1517306576 1589824905 1606559904 1673499900 1695813232 1706969898 1713734640 1760479200 1801801559 1896633220 1904149600 1907789886 2008199880 2119766540 2142168300 2231333200 2275959864 2370791525 2510249850 2543719848 2649708175 2677599840 2844949830 2856224400 3034613152 3179649810 3346999800 3391626464 3413939796 3427469280 3603603118 3793266440 3815579772 4016399760 4239533080 4267424745 4284336600 4462666400 4551919728 4741583050 4769474715 5020499700 5087439696 5299416350 5405404677 5689899660 5712448800 6359299620 6693999600 6827879592 7112374575 7207206236 7586532880 7631159544 7949124525 8032799520 8479066160 8534849490 8568673200 9009007795 9103839456 9483166100 9538949430 10040999400 10174879392 10598832700 10810809354 11379799320 12718599240 13387999200 13655759184 14224749150 14414412472 15173065760 15262319088 15898249050 16216214031 16958132320 17069698980 17137346400 18018015590 18966332200 19077898860 20081998800 21197665400 21337123725 21621618708 22759598640 23847373575 25437198480 27027023385 27311518368 28449498300 28828824944 30524638176 31796498100 32432428062 34139397960 36036031180 37932664400 38155797720 40163997600 42395330800 42674247450 43243237416 45045038975 45519197280 47694747150 50874396960 54054046770 56898996600 57657649888 63592996200 64864856124 68278795920 72072062360 75865328800 76311595440 81081070155 84790661600 85348494900 86486474832 90090077950 95389494300 108108093540 113797993200 127185992400 129729712248 135135116925 136557591840 144144124720 152623190880 162162140310 170696989800 172972949664 180180155900 190778988600 216216187080 227595986400 254371984800 259459424496 270270233850 288288249440 324324280620 341393979600 360360311800 381557977200 405405350775 432432374160 518918848992 540540467700 648648561240 682787959200 720720623600 763115954400 810810701550 864864748320 1081080935400 1297297122480 1441441247200 1621621403100 2162161870800 2594594244960 3243242806200 4324323741600 6486485612400 12972971224800
- Sum of all divisors σ(n): 51060467858400
- Sum of proper divisors (its aliquot sum) s(n): 38087496633600
- 12972971224800 is an abundant number, because the sum of its proper divisors (38087496633600) is greater than itself. Its abundance is 25114525408800
Bases of 12972971224800
- Binary: 101111001100100000010101011101101110111000002
- Hexadecimal: 0xBCC81576EE0
- Base-36: 4LJP84540
Squares and roots of 12972971224800
- 12972971224800 squared (129729712248002) is 168297982399488812135040000
- 12972971224800 cubed (129729712248003) is 2183324882860465218057406971796992000000
-
The
square root of 12972971224800 is 3601801.1084456065 -
The
cube root of 12972971224800 is 23497.0397507343
Scales and comparisons
How big is 12972971224800?- 12,972,971,224,800 seconds is equal to 412,500 years, 18 weeks, 3 days, 22 hours.
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To count from 1 to 12,972,971,224,800 would take you about one million, thirty-one thousand, two hundred fifty 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 12972971224800 cubic inches would be around 1958.1 feet tall.
Recreational maths with 12972971224800
- 12972971224800 backwards is 00842217927921
- The number of decimal digits it has is: 14
- The sum of 12972971224800's digits is 54
- More coming soon!
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The information we have on file for 12972971224800 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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