120421921996800
120,421,921,996,800 is an even composite number composed of six prime numbers multiplied together.
What does the number 120421921996800 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 2160 divisors.
120421921996800 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two thousand, one hundred sixty divisors.
Prime factorization of 120421921996800:
214 × 32 × 52 × 173 × 61 × 109
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 17 × 17 × 17 × 61 × 109)See below for interesting mathematical facts about the number 120421921996800 from the Numbermatics database.
Names of 120421921996800
- Cardinal: 120421921996800 can be written as One hundred twenty trillion, four hundred twenty-one billion, nine hundred twenty-one million, nine hundred ninety-six thousand, eight hundred.
Scientific notation
- Scientific notation: 1.204219219968 × 1014
Factors of 120421921996800
Divisors of 120421921996800
- Number of divisors d(n): 2160
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 17 18 20 24 25 30 32 34 36 40 45 48 50 51 60 61 64 68 72 75 80 85 90 96 100 102 109 120 122 128 136 144 150 153 160 170 180 183 192 200 204 218 225 240 244 255 256 272 288 289 300 305 306 320 327 340 360 366 384 400 408 425 436 450 480 488 510 512 544 545 549 576 578 600 610 612 640 654 680 720 732 765 768 800 816 850 867 872 900 915 960 976 981 1020 1024 1037 1088 1090 1098 1152 1156 1200 1220 1224 1275 1280 1308 1360 1440 1445 1464 1525 1530 1536 1600 1632 1635 1700 1734 1744 1800 1830 1853 1920 1952 1962 2040 2048 2074 2176 2180 2196 2304 2312 2400 2440 2448 2550 2560 2601 2616 2720 2725 2745 2880 2890 2928 3050 3060 3072 3111 3200 3264 3270 3400 3468 3488 3600 3660 3706 3825 3840 3904 3924 4080 4096 4148 4335 4352 4360 4392 4575 4608 4624 4800 4880 4896 4905 4913 5100 5120 5185 5202 5232 5440 5450 5490 5559 5760 5780 5856 6100 6120 6144 6222 6400 6528 6540 6649 6800 6936 6976 7200 7225 7320 7412 7650 7680 7808 7848 8160 8175 8192 8296 8670 8704 8720 8784 9150 9216 9248 9265 9333 9600 9760 9792 9810 9826 10200 10240 10370 10404 10464 10880 10900 10980 11118 11520 11560 11712 12200 12240 12288 12444 12800 13005 13056 13080 13298 13600 13725 13872 13952 14400 14450 14640 14739 14824 15300 15360 15555 15616 15696 16320 16350 16384 16592 16677 17340 17408 17440 17568 17629 18300 18432 18496 18530 18666 19200 19520 19584 19620 19652 19947 20400 20480 20740 20808 20928 21675 21760 21800 21960 22236 23040 23120 23424 24400 24480 24525 24565 24576 24888 25600 25925 26010 26112 26160 26596 27200 27450 27744 27795 27904 28800 28900 29280 29478 29648 30600 30720 31110 31232 31392 31501 32640 32700 33184 33245 33354 34680 34816 34880 35136 35258 36600 36864 36992 37060 37332 38400 39040 39168 39240 39304 39894 40800 40960 41480 41616 41856 43350 43520 43600 43920 44217 44472 46080 46240 46325 46665 46848 48800 48960 49050 49130 49152 49776 51200 51850 52020 52224 52320 52887 53192 54400 54900 55488 55590 55808 57600 57800 58560 58956 59296 59841 61200 61440 62220 62464 62784 63002 65025 65280 65400 66368 66490 66708 69360 69632 69760 70272 70516 73200 73695 73728 73984 74120 74664 76800 77775 78080 78336 78480 78608 79788 81600 81920 82960 83232 83385 83712 86700 87040 87200 87840 88145 88434 88944 92160 92480 92650 93330 93696 94503 97600 97920 98100 98260 99552 99735 102400 103700 104040 104448 104640 105774 106384 108800 109800 110976 111180 111616 113033 115200 115600 117120 117912 118592 119682 122400 122825 122880 124440 124928 125568 126004 130050 130560 130800 132736 132980 133416 138720 138975 139264 139520 140544 141032 146400 147390 147456 147968 148240 149328 153600 155550 156160 156672 156960 157216 157505 158661 159576 163200 165920 166225 166464 166770 167424 173400 174080 174400 175680 176290 176868 177888 184320 184960 185300 186660 187392 189006 195200 195840 196200 196520 199104 199470 204800 207400 208080 208896 209280 211548 212768 217600 219600 221085 221952 222360 223232 226066 230400 231200 233325 234240 235824 237184 239364 244800 245650 245760 248880 249856 251136 252008 260100 261120 261600 264435 265472 265960 266832 277440 277950 278528 279040 281088 282064 283509 292800 294780 295936 296480 298656 299205 299693 307200 311100 312320 313344 313920 314432 315010 317322 319152 326400 331840 332450 332928 333540 334848 339099 346800 348160 348800 351360 352580 353736 355776 368475 368640 369920 370600 373320 374784 378012 390400 391680 392400 393040 398208 398940 409600 414800 416160 416925 417792 418560 423096 425536 435200 439200 440725 442170 443904 444720 446464 452132 460800 462400 466650 468480 471648 472515 474368 478728 489600 491300 497760 498675 499712 502272 504016 520200 522240 523200 528870 530944 531920 533664 535517 554880 555900 558080 562176 564128 565165 567018 585600 589560 591872 592960 597312 598410 599386 614400 622200 624640 626688 627840 628864 630020 634644 638304 652800 663680 664900 665856 667080 669696 678198 693600 696320 697600 702720 705160 707472 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1131955200 1138483200 1150821120 1152936600 1157457920 1161252864 1175995332 1207418880 1209638400 1225543680 1227542528 1229799040 1233831168 1274265600 1285240800 1290280960 1299750912 1302140160 1306661480 1353907200 1361715200 1366179840 1370923520 1380985344 1383523920 1388949504 1438526400 1444167680 1446822400 1451566080 1469994165 1475758848 1509273600 1531929600 1534428160 1537248800 1542288960 1548337152 1567993776 1612851200 1624688640 1627675200 1633326850 1634058240 1645108224 1707724800 1713654400 1726231680 1729404900 1736186880 1805209600 1811128320 1814457600 1841313792 1844698560 1851932672 1911398400 1918035200 1927861200 1935421440 1959992220 1967678464 2012364800 2030860800 2042572800 2056385280 2083424256 2090658368 2157789600 2166251520 2170233600 2193477632 2213638272 2263910400 2276966400 2301642240 2305873200 2314915840 2322505728 2351990664 2419276800 2449990275 2451087360 2455085056 2459598080 2467662336 2570481600 2580561920 2599501824 2604280320 2613322960 2707814400 2723430400 2741847040 2761970688 2767047840 2777899008 2877052800 2893644800 2903132160 2939988330 2951517696 3018547200 3063859200 3068856320 3074497600 3084577920 3135987552 3225702400 3249377280 3255350400 3266653700 3290216448 3415449600 3427308800 3452463360 3458809800 3472373760 3610419200 3622256640 3628915200 3682627584 3689397120 3822796800 3836070400 3855722400 3870842880 3919984440 3935356928 4061721600 4085145600 4112770560 4166848512 4181316736 4315579200 4332503040 4340467200 4386955264 4427276544 4527820800 4603284480 4611746400 4629831680 4645011456 4703981328 4838553600 4899980550 4902174720 4910170112 4919196160 4935324672 5140963200 5208560640 5226645920 5415628800 5483694080 5523941376 5534095680 5555798016 5754105600 5787289600 5806264320 5879976660 5903035392 6037094400 6127718400 6137712640 6148995200 6169155840 6271975104 6451404800 6498754560 6510700800 6533307400 6580432896 6830899200 6854617600 6904926720 6917619600 6944747520 7220838400 7257830400 7349970825 7365255168 7378794240 7672140800 7711444800 7741685760 7839968880 7870713856 8123443200 8170291200 8225541120 8333697024 8362633472 8631158400 8680934400 8773910528 8854553088 9055641600 9206568960 9223492800 9259663360 9407962656 9677107200 9799961100 9838392320 9870649344 10281926400 10417121280 10453291840 10831257600 10967388160 11047882752 11068191360 11508211200 11574579200 11612528640 11759953320 11806070784 12255436800 12275425280 12297990400 12338311680 12543950208 12902809600 12997509120 13021401600 13066614800 13160865792 13709235200 13809853440 13835239200 13889495040 14515660800 14699941650 14730510336 14757588480 15344281600 15422889600 15679937760 15741427712 16246886400 16451082240 16667394048 16725266944 17262316800 17361868800 17709106176 18111283200 18413137920 18446985600 18815925312 19354214400 19599922200 19676784640 19741298688 20563852800 20834242560 20906583680 21662515200 21934776320 22095765504 22136382720 23016422400 23149158400 23225057280 23519906640 23612141568 24510873600 24550850560 24595980800 24676623360 25087900416 26042803200 26133229600 26321731584 27418470400 27619706880 27670478400 27778990080 29031321600 29399883300 29515176960 30688563200 30845779200 31359875520 31482855424 32493772800 32902164480 33450533888 34524633600 34723737600 35418212352 36826275840 36893971200 37631850624 38708428800 39199844400 39353569280 39482597376 41127705600 41668485120 41813167360 43869552640 44191531008 44272765440 46032844800 46298316800 47039813280 47224283136 49191961600 49353246720 50175800832 52085606400 52266459200 54836940800 55239413760 55340956800 58062643200 58799766600 59030353920 61377126400 61691558400 62719751040 64987545600 65804328960 66901067776 69049267200 69447475200 70836424704 73652551680 73787942400 75263701248 78399688800 78707138560 78965194752 82255411200 83336970240 83626334720 88545530880 92065689600 94079626560 94448566272 98383923200 98706493440 100351601664 104171212800 104532918400 109673881600 110478827520 110681913600 116125286400 117599533200 118060707840 122754252800 123383116800 125439502080 131608657920 133802135552 138098534400 138894950400 141672849408 147575884800 150527402496 156799377600 157414277120 164510822400 167252669440 177091061760 184131379200 188159253120 196767846400 197412986880 200703203328 208342425600 209065836800 219347763200 220957655040 221363827200 235199066400 236121415680 246766233600 250879004160 267604271104 276197068800 283345698816 295151769600 301054804992 313598755200 329021644800 334505338880 354182123520 368262758400 376318506240 393535692800 394825973760 401406406656 416684851200 418131673600 442727654400 470398132800 472242831360 493532467200 501758008320 535208542208 552394137600 590303539200 602109609984 627197510400 658043289600 669010677760 708364247040 752637012480 787071385600 802812813312 836263347200 885455308800 940796265600 987064934400 1003516016640 1104788275200 1180607078400 1204219219968 1254395020800 1338021355520 1416728494080 1505274024960 1605625626624 1672526694400 1770910617600 1881592531200 1974129868800 2007032033280 2361214156800 2408438439936 2508790041600 2676042711040 3010548049920 3345053388800 3541821235200 3763185062400 4014064066560 4816876879872 5017580083200 6021096099840 6690106777600 7083642470400 7526370124800 8028128133120 10035160166400 12042192199680 13380213555200 15052740249600 20070320332800 24084384399360 30105480499200 40140640665600 60210960998400 120421921996800
- Sum of all divisors σ(n): 470106877640400
- Sum of proper divisors (its aliquot sum) s(n): 349684955643600
- 120421921996800 is an abundant number, because the sum of its proper divisors (349684955643600) is greater than itself. Its abundance is 229263033646800
Bases of 120421921996800
- Binary: 110110110000101111010011110001001000000000000002
- Hexadecimal: 0x6D85E9E24000
- Base-36: 16OP2F5KW0
Squares and roots of 120421921996800
- 120421921996800 squared (1204219219968002) is 14501439297403383699210240000
- 120421921996800 cubed (1204219219968003) is 1746291191913240468610676155043807232000000
-
The
square root of 120421921996800 is 10973692.2681839405 -
The
cube root of 120421921996800 is 49381.9821516193
Scales and comparisons
How big is 120421921996800?- 120,421,921,996,800 seconds is equal to 3,829,044 years, 32 weeks, 5 days, 8 hours.
-
To count from 1 to 120,421,921,996,800 would take you about nine million, five hundred seventy-two thousand, six hundred eleven 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 120421921996800 cubic inches would be around 4115.2 feet tall.
Recreational maths with 120421921996800
- 120421921996800 backwards is 008699129124021
- The number of decimal digits it has is: 15
- The sum of 120421921996800's digits is 54
- More coming soon!
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"Number 120421921996800 - Facts about the integer". Numbermatics.com. 2024. Web. 20 June 2024.
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Numbermatics. (2024). Number 120421921996800 - Facts about the integer. Retrieved 20 June 2024, from https://numbermatics.com/n/120421921996800/
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Numbermatics. 2024. "Number 120421921996800 - Facts about the integer". https://numbermatics.com/n/120421921996800/
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