120968746906408200
120,968,746,906,408,200 is an even composite number composed of five prime numbers multiplied together.
120968746906408200 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of seven hundred fifty-six divisors.
Prime factorization of 120968746906408200:
23 × 36 × 52 × 312 × 293832
(2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 3 × 5 × 5 × 31 × 31 × 29383 × 29383)See below for interesting mathematical facts about the number 120968746906408200 from the Numbermatics database.
Names of 120968746906408200
- Cardinal: 120968746906408200 can be written as One hundred twenty quadrillion, nine hundred sixty-eight trillion, seven hundred forty-six billion, nine hundred six million, four hundred eight thousand, two hundred.
Scientific notation
- Scientific notation: 1.209687469064082 × 1017
Factors of 120968746906408200
Divisors of 120968746906408200
- Number of divisors d(n): 756
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 27 30 31 36 40 45 50 54 60 62 72 75 81 90 93 100 108 120 124 135 150 155 162 180 186 200 216 225 243 248 270 279 300 310 324 360 372 405 450 465 486 540 558 600 620 648 675 729 744 775 810 837 900 930 961 972 1080 1116 1215 1240 1350 1395 1458 1550 1620 1674 1800 1860 1922 1944 2025 2232 2325 2430 2511 2700 2790 2883 2916 3100 3240 3348 3645 3720 3844 4050 4185 4650 4805 4860 5022 5400 5580 5766 5832 6075 6200 6696 6975 7290 7533 7688 8100 8370 8649 9300 9610 9720 10044 11160 11532 12150 12555 13950 14415 14580 15066 16200 16740 17298 18225 18600 19220 20088 20925 22599 23064 24025 24300 25110 25947 27900 28830 29160 29383 30132 33480 34596 36450 37665 38440 41850 43245 45198 48050 48600 50220 51894 55800 57660 58766 60264 62775 69192 72075 72900 75330 77841 83700 86490 88149 90396 96100 100440 103788 112995 115320 117532 125550 129735 144150 145800 146915 150660 155682 167400 172980 176298 180792 188325 192200 207576 216225 225990 233523 235064 251100 259470 264447 288300 293830 301320 311364 345960 352596 376650 389205 432450 440745 451980 467046 502200 518940 528894 564975 576600 587660 622728 648675 700569 705192 734575 753300 778410 793341 864900 881490 903960 910873 934092 1037880 1057788 1129950 1167615 1175320 1297350 1322235 1401138 1469150 1506600 1556820 1586682 1729800 1762980 1821746 1868184 1946025 2115576 2203725 2259900 2335230 2380023 2594700 2644470 2732619 2802276 2938300 3113640 3173364 3502845 3525960 3643492 3892050 3966705 4407450 4519800 4554365 4670460 4760046 5189400 5288940 5465238 5604552 5838075 5876600 6346728 6611175 7005690 7140069 7286984 7784100 7933410 8197857 8814900 9108730 9340920 9520092 10577880 10930476 11676150 11900115 13222350 13663095 14011380 14280138 15568200 15866820 16395714 17514225 17629800 18217460 19040184 19833525 21420207 21860952 22771825 23352300 23800230 24593571 26444700 27326190 28022760 28237063 28560276 31733640 32791428 35028450 35700345 36434920 39667050 40989285 42840414 45543650 46704600 47600460 49187142 52889400 54652380 56474126 57120552 59500575 65582856 68315475 70056900 71400690 73780713 79334100 81978570 84711189 85680828 91087300 95200920 98374284 107101035 109304760 112948252 119001150 122967855 136630950 140113800 141185315 142801380 147561426 158668200 163957140 169422378 171361656 178501725 182174600 196748568 204946425 214202070 221342139 225896504 238002300 245935710 254133567 273261900 282370630 285602760 295122852 327914280 338844756 357003450 368903565 409892850 423555945 428404140 442684278 476004600 491871420 508267134 535505175 546523800 564741260 590245704 614839275 664026417 677689512 705926575 714006900 737807130 762400701 819785700 847111890 856808280 863360689 885368556 983742840 1016534268 1071010350 1106710695 1129482520 1229678550 1270667835 1328052834 1411853150 1428013800 1475614260 1524801402 1639571400 1694223780 1726721378 1770737112 1844517825 2033068536 2117779725 2142020700 2213421390 2287202103 2459357100 2541335670 2590082067 2656105668 2823706300 2951228520 3049602804 3320132085 3388447560 3453442756 3689035650 3812003505 4235559450 4284041400 4316803445 4426842780 4574404206 4918714200 5082671340 5180164134 5312211336 5533553475 5647412600 6099205608 6353339175 6640264170 6861606309 6906885512 7378071300 7624007010 7770246201 8471118900 8633606890 8853685560 9148808412 10165342680 10360328268 11067106950 11436010515 12706678350 12950410335 13280528340 13723212618 14756142600 15248014020 15540492402 16600660425 16942237800 17267213780 18297616824 19060017525 20584818927 20720656536 21584017225 22134213900 22872021030 23310738603 25413356700 25900820670 26561056680 26764181359 27446425236 30496028040 31080984804 33201320850 34308031545 34534427560 38120035050 38851231005 41169637854 43168034450 44268427800 45744042060 46621477206 50826713400 51801641340 53528362718 54892850472 57180052575 62161969608 64752051675 66402641700 68616063090 69932215809 76240070100 77702462010 80292544077 82339275708 86336068900 91488084120 93242954412 102924094635 103603282680 107056725436 114360105150 116553693015 129504103350 132805283400 133820906795 137232126180 139864431618 152480140200 155404924020 160585088154 164678551416 171540157725 172672137800 186485908824 194256155025 205848189270 209796647427 214113450872 228720210300 233107386030 240877632231 259008206700 267641813590 274464252360 279728863236 310809848040 321170176308 343080315450 349661079045 388512310050 401462720385 411696378540 419593294854 457440420600 466214772060 481755264462 514620473175 518016413400 535283627180 559457726472 582768465075 629389942281 642340352616 669104533975 686160630900 699322158090 722632896693 777024620100 802925440770 823392757080 829689622129 839186589708 932429544120 963510528924 1029240946350 1048983237135 1070567254360 1165536930150 1204388161155 1258779884562 1338209067950 1372321261800 1398644316180 1445265793386 1554049240200 1605850881540 1659379244258 1678373179416 1748305395225 1927021057848 2007313601925 2058481892700 2097966474270 2167898690079 2331073860300 2408776322310 2489068866387 2517559769124 2676418135900 2797288632360 2890531586772 3146949711405 3211701763080 3318758488516 3496610790450 3613164483465 4014627203850 4116963785400 4148448110645 4195932948540 4335797380158 4662147720600 4817552644620 4978137732774 5035119538248 5244916185675 5352836271800 5781063173544 6021940805775 6293899422810 6503696070237 6637516977032 6993221580900 7226328966930 7467206599161 8029254407700 8296896221290 8391865897080 8671594760316 9635105289240 9956275465548 10489832371350 10839493450395 12043881611550 12445344331935 12587798845620 13007392140474 13986443161800 14452657933860 14934413198322 15734748557025 16058508815400 16593792442580 17343189520632 18065822417325 19511088210711 19912550931096 20742240553225 20979664742700 21678986900790 22401619797483 24087763223100 24890688663870 25175597691240 26014784280948 28905315867720 29868826396644 31469497114050 32518480351185 33187584885160 36131644834650 37336032995805 39022176421422 41484481106450 41959329485400 43357973801580 44803239594966 48175526446200 49781377327740 52029568561896 54197467251975 59737652793288 62226721659675 62938994228100 65036960702370 67204859392449 72263289669300 74672065991610 78044352842844 82968962212900 86715947603160 89606479189932 97555441053555 99562754655480 108394934503950 112008098987415 124453443319350 125877988456200 130073921404740 134409718784898 144526579338600 149344131983220 156088705685688 162592401755925 165937924425800 179212958379864 186680164979025 195110882107110 201614578177347 216789869007900 224016197974830 248906886638700 260147842809480 268819437569796 298688263966440 325184803511850 336024296962245 373360329958050 390221764214220 403229156354694 433579738015800 448032395949660 487777205267775 497813773277400 537638875139592 560040494937075 604843734532041 650369607023700 672048593924490 746720659916100 780443528428440 806458312709388 896064791899320 975554410535550 1008072890886735 1120080989874150 1209687469064082 1300739214047400 1344097187848980 1493441319832200 1612916625418776 1680121484811225 1951108821071100 2016145781773470 2240161979748300 2419374938128164 2688194375697960 3024218672660205 3360242969622450 3902217642142200 4032291563546940 4480323959496600 4838749876256328 5040364454433675 6048437345320410 6720485939244900 8064583127093880 10080728908867350 12096874690640820 13440971878489800 15121093363301025 20161457817734700 24193749381281640 30242186726602050 40322915635469400 60484373453204100 120968746906408200
- Sum of all divisors σ(n): 435741991838321805
- Sum of proper divisors (its aliquot sum) s(n): 314773244931913605
- 120968746906408200 is an abundant number, because the sum of its proper divisors (314773244931913605) is greater than itself. Its abundance is 193804498025505405
Bases of 120968746906408200
- Binary: 1101011011100010001101111001101000100011111010101000010002
- Hexadecimal: 0x1ADC46F3447D508
- Base-36: X33UB57L4I0
Squares and roots of 120968746906408200
- 120968746906408200 squared (1209687469064082002) is 14633437728106643457810225027240000
- 120968746906408200 cubed (1209687469064082003) is 1770188624902017564305638932158580649575559368000000
-
The
square root of 120968746906408200 is 347805616.5538564159 -
The
cube root of 120968746906408200 is 494566.1564889039
Scales and comparisons
How big is 120968746906408200?- 120,968,746,906,408,200 seconds is equal to 3,846,431,970 years, 37 weeks, 3 days, 16 hours, 30 minutes.
-
To count from 1 to 120,968,746,906,408,200 would take you about eleven billion, five hundred thirty-nine million, two hundred ninety-five thousand, nine hundred twelve 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 120968746906408200 cubic inches would be around 41213.8 feet tall.
Recreational maths with 120968746906408200
- 120968746906408200 backwards is 002804609647869021
- 120968746906408200 is a
Harshad number . - The number of decimal digits it has is: 18
- The sum of 120968746906408200's digits is 72
- More coming soon!
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The information we have on file for 120968746906408200 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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