106448825299216000
106,448,825,299,216,000 is an even composite number composed of five prime numbers multiplied together.
What does the number 106448825299216000 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 864 divisors.
106448825299216000 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of eight hundred sixty-four divisors.
Prime factorization of 106448825299216000:
27 × 53 × 412 × 532 × 11872
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 5 × 41 × 41 × 53 × 53 × 1187 × 1187)See below for interesting mathematical facts about the number 106448825299216000 from the Numbermatics database.
Names of 106448825299216000
- Cardinal: 106448825299216000 can be written as One hundred six quadrillion, four hundred forty-eight trillion, eight hundred twenty-five billion, two hundred ninety-nine million, two hundred sixteen thousand.
Scientific notation
- Scientific notation: 1.06448825299216 × 1017
Factors of 106448825299216000
Divisors of 106448825299216000
- Number of divisors d(n): 864
-
Complete list of divisors:
1 2 4 5 8 10 16 20 25 32 40 41 50 53 64 80 82 100 106 125 128 160 164 200 205 212 250 265 320 328 400 410 424 500 530 640 656 800 820 848 1000 1025 1060 1187 1312 1325 1600 1640 1681 1696 2000 2050 2120 2173 2374 2624 2650 2809 3200 3280 3362 3392 4000 4100 4240 4346 4748 5125 5248 5300 5618 5935 6560 6625 6724 6784 8000 8200 8405 8480 8692 9496 10250 10600 10865 11236 11870 13120 13250 13448 14045 16000 16400 16810 16960 17384 18992 20500 21200 21730 22472 23740 26240 26500 26896 28090 29675 32800 33620 33920 34768 37984 41000 42025 42400 43460 44944 47480 48667 53000 53792 54325 56180 59350 62911 65600 67240 69536 70225 75968 82000 84050 84800 86920 89093 89888 94960 97334 106000 107584 108650 112360 115169 118700 125822 131200 134480 139072 140450 148375 151936 164000 168100 169600 173840 178186 179776 189920 194668 210125 212000 215168 217300 224720 230338 237400 243335 251644 268960 271625 278144 280900 296750 314555 328000 336200 347680 351125 356372 359552 379840 389336 420250 424000 434600 445465 449440 460676 474800 486670 503288 537920 543250 561800 575845 593500 629110 656000 672400 695360 702250 712744 759680 778672 840500 848000 869200 890930 898880 921352 949600 973340 1006576 1075840 1086500 1123600 1151690 1187000 1216675 1258220 1344800 1390720 1404500 1408969 1425488 1557344 1572775 1681000 1738400 1781860 1797760 1842704 1899200 1946680 1995347 2013152 2173000 2227325 2247200 2303380 2374000 2433350 2516440 2579351 2689600 2809000 2817938 2850976 2879225 3114688 3145550 3334283 3362000 3476800 3563720 3685408 3798400 3893360 3990694 4026304 4346000 4454650 4494400 4606760 4721929 4748000 4866700 5032880 5158702 5379200 5618000 5635876 5701952 5758450 6083375 6229376 6291100 6668566 6724000 6953600 7044845 7127440 7370816 7786720 7863875 7981388 8052608 8692000 8909300 8988800 9213520 9443858 9496000 9733400 9976735 10065760 10317404 11136625 11236000 11271752 11403904 11516900 12166750 12582200 12896755 13337132 13448000 14089690 14254880 14396125 14741632 15573440 15727750 15962776 16671415 17384000 17818600 18427040 18887716 18992000 19466800 19953470 20131520 20634808 22273250 22472000 22543504 23033800 23609645 24333500 25164400 25793510 26674264 26896000 28179380 28509760 28792250 31146880 31455500 31925552 33342830 34768000 35224225 35637200 36854080 37775432 38933600 39906940 40263040 41269616 44546500 44944000 45087008 46067600 47219290 48667000 49883675 50328800 51587020 53348528 56358760 57019520 57584500 57767729 62911000 63851104 64483775 66685660 70448450 71274400 73708160 74675357 75550864 77867200 79813880 82539232 83357075 89093000 90174016 92135200 94438580 97334000 99767350 100657600 103174040 105753391 106697056 112717520 115169000 115535458 118048225 125822000 127702208 128967550 133371320 136705603 140896900 142548800 149350714 151101728 155734400 159627760 165078464 166714150 176121125 178186000 180348032 184270400 188877160 194668000 199534700 201315200 206348080 211506782 213394112 225435040 230338000 231070916 236096450 249418375 251644000 255404416 257935100 266742640 273411206 281793800 285097600 288838645 298701428 302203456 319255520 322418875 330156928 333428300 352242250 356372000 368540800 373376785 377754320 389336000 399069400 412696160 416785375 423013564 426788224 450870080 460676000 462141832 472192900 498836750 503288000 515870200 528766955 533485280 546822412 563587600 577677290 590241125 597402856 604406912 638511040 644837750 666856600 683528015 704484500 712744000 746753570 755508640 778672000 798138800 825392320 833570750 846027128 901740160 921352000 924283664 944385800 997673500 1006576000 1031740400 1057533910 1066970560 1093644824 1127175200 1155354580 1180482250 1194805712 1277022080 1289675500 1333713200 1367056030 1408969000 1425488000 1444193225 1493507140 1511017280 1596277600 1650784640 1667141500 1692054256 1842704000 1848567328 1866883925 1888771600 1995347000 2063480800 2115067820 2133941120 2187289648 2254350400 2310709160 2360964500 2368476889 2389611424 2579351000 2643834775 2667426400 2734112060 2817938000 2888386450 2987014280 3022034560 3061689637 3192555200 3334283000 3384108512 3417640075 3697134656 3733767850 3777543200 3957793921 3990694000 4126961600 4230135640 4374579296 4508700800 4621418320 4721929000 4736953778 4779222848 5158702000 5287669550 5334852800 5468224120 5604929723 5635876000 5776772900 5974028560 6123379274 6385110400 6668566000 6768217024 6835280150 7220966125 7394269312 7467535700 7555086400 7915587842 7981388000 8253923200 8460271280 8749158592 9242836640 9334419625 9443858000 9473907556 9558445696 10317404000 10575339100 10669705600 10936448240 11209859446 11271752000 11553545800 11842384445 11948057120 12246758548 13219173875 13337132000 13536434048 13670560300 14441932250 14935071400 15110172800 15308448185 15831175684 15962776000 16920542560 17088200375 17498317184 18485673280 18668839250 18887716000 18947815112 19788969605 20634808000 21150678200 21872896480 22419718892 22543504000 23107091600 23684768890 23896114240 24493517096 26438347750 26674264000 27341120600 28024648615 28883864500 29870142800 30616896370 31662351368 31925552000 33841085120 34176400750 36971346560 37337678500 37775432000 37895630224 39577939210 41269616000 42301356400 43745792960 44839437784 46214183200 47369537780 47792228480 48987034192 52876695500 53348528000 54682241200 56049297230 57767729000 59211922225 59740285600 61233792740 63324702736 67682170240 68352801500 74675357000 75550864000 75791260448 76542240925 79155878420 84602712800 87491585920 89678875568 92428366400 94739075560 97974068384 98944848025 105753391000 109364482400 112098594460 115535458000 118423844450 119480571200 122467585480 125529275117 126649405472 136705603000 140123243075 149350714000 151582520896 153084481850 158311756840 162269550761 169205425600 179357751136 184856732800 189478151120 195948136768 197889696050 211506782000 218728964800 224197188920 231070916000 236847688900 238961142400 244935170960 251058550234 253298810944 273411206000 280246486150 296059611125 298701428000 303165041792 306168963700 316623513680 324539101522 338410851200 358715502272 378956302240 382711204625 391896273536 395779392100 423013564000 437457929600 448394377840 462141832000 473695377800 489870341920 494724240125 502117100468 506597621888 546822412000 560492972300 592119222250 597402856000 612337927400 627646375585 633247027360 649078203044 700616215375 717431004544 757912604480 765422409250 791558784200 811347753805 846027128000 896788755680 924283664000 947390755600 979740683840 989448480250 1004234200936 1093644824000 1120985944600 1184238444500 1194805712000 1224675854800 1255292751170 1266494054720 1298156406088 1401232430750 1515825208960 1530844818500 1583117568400 1622695507610 1692054256000 1793577511360 1894781511200 1959481367680 1978896960500 2008468401872 2187289648000 2241971889200 2368476889000 2449351709600 2510585502340 2532988109440 2596312812176 2802464861500 3061689637000 3138231877925 3166235136800 3245391015220 3587155022720 3789563022400 3957793921000 4016936803744 4056738769025 4483943778400 4736953778000 4898703419200 5021171004680 5192625624352 5604929723000 6123379274000 6276463755850 6332470273600 6490782030440 6653051581201 7579126044800 7915587842000 8033873607488 8113477538050 8967887556800 9473907556000 9797406838400 10042342009360 10385251248704 11209859446000 12246758548000 12552927511700 12664940547200 12981564060880 13306103162402 15691159389625 15831175684000 16067747214976 16226955076100 17935775113600 18947815112000 20084684018720 20283693845125 20770502497408 22419718892000 24493517096000 25105855023400 25963128121760 26612206324804 31382318779250 31662351368000 32453910152200 33265257906005 37895630224000 40169368037440 40567387690250 44839437784000 48987034192000 50211710046800 51926256243520 53224412649608 62764637558500 63324702736000 64907820304400 66530515812010 80338736074880 81134775380500 89678875568000 100423420093600 103852512487040 106448825299216 125529275117000 129815640608800 133061031624020 162269550761000 166326289530025 200846840187200 212897650598432 251058550234000 259631281217600 266122063248040 324539101522000 332652579060050 401693680374400 425795301196864 502117100468000 519262562435200 532244126496080 649078203044000 665305158120100 831631447650125 851590602393728 1004234200936000 1064488252992160 1298156406088000 1330610316240200 1663262895300250 2008468401872000 2128976505984320 2596312812176000 2661220632480400 3326525790600500 4257953011968640 5322441264960800 6653051581201000 10644882529921600 13306103162402000 21289765059843200 26612206324804000 53224412649608000 106448825299216000
- Sum of all divisors σ(n): 276718931355861540
- Sum of proper divisors (its aliquot sum) s(n): 170270106056645540
- 106448825299216000 is an abundant number, because the sum of its proper divisors (170270106056645540) is greater than itself. Its abundance is 63821280757429540
Bases of 106448825299216000
- Binary: 1011110100010111010100100100000101011011110100110100000002
- Hexadecimal: 0x17A2EA482B7A680
- Base-36: T44YJ8RXIF4
Squares and roots of 106448825299216000
- 106448825299216000 squared (1064488252992160002) is 11331352407583008331930214656000000
- 106448825299216000 cubed (1064488252992160003) is 1206209152838654268886538753175810308509696000000000
-
The
square root of 106448825299216000 is 326264961.8013187761 -
The
cube root of 106448825299216000 is 473929.3711923289
Scales and comparisons
How big is 106448825299216000?- 106,448,825,299,216,000 seconds is equal to 3,384,743,376 years, 35 weeks, 2 days, 7 hours, 6 minutes, 40 seconds.
-
To count from 1 to 106,448,825,299,216,000 would take you about ten billion, one hundred fifty-four million, two hundred thirty thousand, one hundred thirty 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 106448825299216000 cubic inches would be around 39494.1 feet tall.
Recreational maths with 106448825299216000
- 106448825299216000 backwards is 000612992528844601
- The number of decimal digits it has is: 18
- The sum of 106448825299216000's digits is 67
- More coming soon!
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The information we have on file for 106448825299216000 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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