104214122729654400
104,214,122,729,654,400 is an even composite number composed of eight prime numbers multiplied together.
What does the number 104214122729654400 look like?
This visualization shows the relationship between its 8 prime factors (large circles) and 2304 divisors.
104214122729654400 is an even composite number. It is composed of eight distinct prime numbers multiplied together. It has a total of two thousand, three hundred four divisors.
Prime factorization of 104214122729654400:
27 × 32 × 52 × 23 × 29 × 89 × 3121 × 19531
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 23 × 29 × 89 × 3121 × 19531)See below for interesting mathematical facts about the number 104214122729654400 from the Numbermatics database.
Names of 104214122729654400
- Cardinal: 104214122729654400 can be written as One hundred four quadrillion, two hundred fourteen trillion, one hundred twenty-two billion, seven hundred twenty-nine million, six hundred fifty-four thousand, four hundred.
Scientific notation
- Scientific notation: 1.042141227296544 × 1017
Factors of 104214122729654400
Divisors of 104214122729654400
- Number of divisors d(n): 2304
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Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 18 20 23 24 25 29 30 32 36 40 45 46 48 50 58 60 64 69 72 75 80 87 89 90 92 96 100 115 116 120 128 138 144 145 150 160 174 178 180 184 192 200 207 225 230 232 240 261 267 276 288 290 300 320 345 348 356 360 368 384 400 414 435 445 450 460 464 480 522 534 552 575 576 580 600 640 667 690 696 712 720 725 736 800 801 828 870 890 900 920 928 960 1035 1044 1068 1104 1150 1152 1160 1200 1305 1334 1335 1380 1392 1424 1440 1450 1472 1600 1602 1656 1725 1740 1780 1800 1840 1856 1920 2001 2047 2070 2088 2136 2175 2208 2225 2300 2320 2400 2581 2610 2668 2670 2760 2784 2848 2880 2900 2944 3121 3200 3204 3312 3335 3450 3480 3560 3600 3680 3712 4002 4005 4094 4140 4176 4272 4350 4416 4450 4600 4640 4800 5162 5175 5220 5336 5340 5520 5568 5696 5760 5800 6003 6141 6242 6408 6525 6624 6670 6675 6900 6960 7120 7200 7360 7743 8004 8010 8188 8280 8352 8544 8700 8832 8900 9200 9280 9363 9600 10005 10235 10324 10350 10440 10672 10680 11040 11136 11392 11600 12006 12282 12484 12816 12905 13050 13248 13340 13350 13800 13920 14240 14400 14720 15486 15605 16008 16020 16376 16560 16675 16704 17088 17400 17800 18400 18423 18560 18726 19531 20010 20025 20470 20648 20700 20880 21344 21360 22080 23200 23229 24012 24564 24968 25632 25810 26100 26496 26680 26700 27600 27840 28089 28480 28800 30015 30705 30972 31210 32016 32040 32752 33120 33350 33408 34176 34800 35600 36800 36846 37452 38715 39062 40020 40050 40940 41296 41400 41760 42688 42720 44160 46400 46458 46815 48024 49128 49936 50025 51175 51264 51620 52200 53360 53400 55200 55680 56178 56960 58593 59363 60030 61410 61944 62420 64032 64080 64525 65504 66240 66700 69600 71200 71783 73600 73692 74904 77430 78025 78124 80040 80100 81880 82592 82800 83520 85376 85440 90509 92115 92800 92916 93630 96048 97655 98256 99872 100050 102350 102528 103240 104400 106720 106800 110400 112356 116145 117186 118726 120060 122820 123888 124840 128064 128160 129050 131008 132480 133400 139200 140445 142400 143566 147384 149808 150075 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4173907510800 4242555069600 4340085071200 4486380073600 4491988048692 4719842514930 4878938330040 4882595705100 4991097831880 5034498682592 5047177582800 5091066083520 5204200885376 5208102085440 5335831382400 5565210014400 5614985060865 5656740092800 5663811017916 5854725996048 5989317398256 6098672912550 6238872289850 6249722502528 6293123353240 6363832604400 6505251106720 6510127606800 6678252017280 6729570110400 7079763772395 7237091856226 7318407495060 7486646747820 7551748023888 7806301328064 7812153128160 7866404191550 7985756531008 8075484132480 8131563883400 8347815021600 8485110139200 8680170142400 8983976097384 9148009368825 9358308434775 9439685029860 9757876660080 9765191410200 9982195663760 10068997365184 10094355165600 10182132167040 10416204170880 10855637784339 11130420028800 11229970121730 11327622035832 11709451992096 11799606287325 11978634796512 12197345825100 12477744579700 12586246706480 12727665208800 13010502213440 13020255213600 13459140220800 14159527544790 14474183712452 14636814990120 14973293495640 15103496047776 15612602656128 15624306256320 15732808383100 15971513062016 16263127766800 16695630043200 16970220278400 17360340284800 17967952194768 18092729640565 18296018737650 18716616869550 18879370059720 19515753320160 19530382820400 19964391327520 20137994730368 20188710331200 21711275568678 22459940243460 22655244071664 23418903984192 23599212574650 23957269593024 24394691650200 24955489159400 25172493412960 25455330417600 26021004426880 26040510427200 28074925304325 28319055089580 28948367424904 29273629980240 29946586991280 30206992095552 31248612512640 31465616766200 32526255533600 32566913353017 33391260086400 35398818861975 35935904389536 36185459281130 36592037475300 37433233739100 37758740119440 39031506640320 39060765640800 39928782655040 40377420662400 43422551137356 44919880486920 45310488143328 46837807968384 47198425149300 47914539186048 48789383300400 49910978318800 50344986825920 50910660835200 52081020854400 54278188921695 56149850608650 56638110179160 57896734849808 58547259960480 59893173982560 60413984191104 62931233532400 65052511067200 65133826706034 70797637723950 71871808779072 72370918562260 73184074950600 74866467478200 75517480238880 78063013280640 78121531281600 79857565310080 86845102274712 89839760973840 90463648202825 90620976286656 94396850298600 97578766600800 99821956637600 100689973651840 108556377843390 112299701217300 113276220358320 115793469699616 117094519920960 119786347965120 125862467064800 130105022134400 130267653412068 141595275447900 143743617558144 144741837124520 146368149901200 149732934956400 151034960477760 156243062563200 162834566765085 173690204549424 179679521947680 180927296405650 181241952573312 188793700597200 195157533201600 199643913275200 217112755686780 224599402434600 226552440716640 231586939399232 234189039841920 239572695930240 251724934129600 260535306824136 271390944608475 283190550895800 289483674249040 292736299802400 299465869912800 302069920955520 325669133530170 347380409098848 359359043895360 361854592811300 377587401194400 390315066403200 399287826550400 434225511373560 449198804869200 453104881433280 463173878798464 503449868259200 521070613648272 542781889216950 566381101791600 578967348498080 585472599604800 598931739825600 651338267060340 694760818197696 718718087790720 723709185622600 755174802388800 814172833825425 868451022747120 898397609738400 906209762866560 1042141227296544 1085563778433900 1132762203583200 1157934696996160 1170945199209600 1197863479651200 1302676534120680 1389521636395392 1447418371245200 1510349604777600 1628345667650850 1736902045494240 1796795219476800 2084282454593088 2171127556867800 2265524407166400 2315869393992320 2605353068241360 2894836742490400 3256691335301700 3473804090988480 3593590438953600 4168564909186176 4342255113735600 4531048814332800 5210706136482720 5789673484980800 6513382670603400 6947608181976960 8684510227471200 10421412272965440 11579346969961600 13026765341206800 17369020454942400 20842824545930880 26053530682413600 34738040909884800 52107061364827200 104214122729654400
- Sum of all divisors σ(n): 406069010107488000
- Sum of proper divisors (its aliquot sum) s(n): 301854887377833600
- 104214122729654400 is an abundant number, because the sum of its proper divisors (301854887377833600) is greater than itself. Its abundance is 197640764648179200
Bases of 104214122729654400
- Binary: 1011100100011111000110001010001011110000101001000100000002
- Hexadecimal: 0x1723E3145E14880
- Base-36: SI4TN20BOG0
Squares and roots of 104214122729654400
- 104214122729654400 squared (1042141227296544002) is 10860583376311469851269143439360000
- 104214122729654400 cubed (1042141227296544003) is 1131826168894567876172004116670838736680157184000000
-
The
square root of 104214122729654400 is 322822122.4291396051 -
The
cube root of 104214122729654400 is 470589.4561766095
Scales and comparisons
How big is 104214122729654400?- 104,214,122,729,654,400 seconds is equal to 3,313,686,747 years, 18 weeks, 3 days, 16 hours.
-
To count from 1 to 104,214,122,729,654,400 would take you about nine billion, nine hundred forty-one million, sixty thousand, two hundred forty-two 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 104214122729654400 cubic inches would be around 39215.8 feet tall.
Recreational maths with 104214122729654400
- 104214122729654400 backwards is 004456927221412401
- The number of decimal digits it has is: 18
- The sum of 104214122729654400's digits is 54
- More coming soon!
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"Number 104214122729654400 - Facts about the integer". Numbermatics.com. 2024. Web. 11 May 2024.
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Numbermatics. (2024). Number 104214122729654400 - Facts about the integer. Retrieved 11 May 2024, from https://numbermatics.com/n/104214122729654400/
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The information we have on file for 104214122729654400 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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