106168120248320
106,168,120,248,320 is an even composite number composed of six prime numbers multiplied together.
106168120248320 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of eight hundred sixty-four divisors.
Prime factorization of 106168120248320:
211 × 5 × 132 × 372 × 41 × 1093
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 13 × 13 × 37 × 37 × 41 × 1093)See below for interesting mathematical facts about the number 106168120248320 from the Numbermatics database.
Names of 106168120248320
- Cardinal: 106168120248320 can be written as One hundred six trillion, one hundred sixty-eight billion, one hundred twenty million, two hundred forty-eight thousand, three hundred twenty.
Scientific notation
- Scientific notation: 1.0616812024832 × 1014
Factors of 106168120248320
Divisors of 106168120248320
- Number of divisors d(n): 864
-
Complete list of divisors:
1 2 4 5 8 10 13 16 20 26 32 37 40 41 52 64 65 74 80 82 104 128 130 148 160 164 169 185 205 208 256 260 296 320 328 338 370 410 416 481 512 520 533 592 640 656 676 740 820 832 845 962 1024 1040 1066 1093 1184 1280 1312 1352 1369 1480 1517 1640 1664 1690 1924 2048 2080 2132 2186 2368 2405 2560 2624 2665 2704 2738 2960 3034 3280 3328 3380 3848 4160 4264 4372 4736 4810 5120 5248 5330 5408 5465 5476 5920 6068 6253 6560 6656 6760 6845 6929 7585 7696 8320 8528 8744 9472 9620 10240 10496 10660 10816 10930 10952 11840 12136 12506 13120 13312 13520 13690 13858 14209 15170 15392 16640 17056 17488 17797 18944 19240 19721 20992 21320 21632 21860 21904 23680 24272 25012 26240 26624 27040 27380 27716 28418 30340 30784 31265 33280 34112 34645 34976 35594 37888 38480 39442 40441 41984 42640 43264 43720 43808 44813 47360 48544 50024 52480 54080 54760 55432 56129 56836 60680 61568 62530 66560 68224 69290 69952 71045 71188 75776 76960 78884 80882 83968 85280 86528 87440 87616 88985 89626 94720 97088 98605 100048 104960 108160 109520 110864 112258 113672 121360 123136 125060 133120 136448 138580 139904 142090 142376 153920 157768 161764 170560 173056 174880 175232 177970 179252 184717 189440 194176 197210 200096 202205 209920 216320 219040 221728 224065 224516 227344 231361 242720 246272 250120 256373 272896 277160 279808 280645 284180 284752 307840 315536 323528 341120 346112 349760 350464 355940 358504 369434 378880 388352 394420 400192 404410 419840 432640 438080 443456 448130 449032 454688 462722 485440 492544 500240 512746 525733 545792 554320 559616 561290 568360 569504 582569 615680 631072 647056 682240 699520 700928 711880 717008 729677 738868 776704 788840 800384 808820 865280 876160 886912 896260 898064 909376 923585 925444 970880 985088 1000480 1025492 1051466 1091584 1108640 1119232 1122580 1136720 1139008 1156805 1165138 1231360 1262144 1281865 1294112 1364480 1399040 1401856 1423760 1434016 1459354 1477736 1496317 1553408 1577680 1600768 1617640 1658081 1730560 1752320 1773824 1792520 1796128 1818752 1847170 1850888 1941760 2000960 2050984 2102932 2217280 2238464 2245160 2273440 2278016 2313610 2330276 2462720 2524288 2563730 2588224 2628665 2728960 2798080 2803712 2847520 2868032 2912845 2918708 2955472 2992634 3106816 3155360 3201536 3235280 3316162 3504640 3547648 3585040 3592256 3637504 3648385 3694340 3701776 3883520 4001920 4101968 4205864 4434560 4490320 4546880 4556032 4627220 4660552 4925440 5048576 5127460 5176448 5257330 5457920 5596160 5695040 5736064 5825690 5837416 5910944 5985268 6310720 6403072 6470560 6632324 6834529 7009280 7095296 7170080 7184512 7275008 7296770 7388680 7403552 7481585 7573397 7767040 8003840 8203936 8290405 8411728 8869120 8980640 9093760 9112064 9254440 9321104 9485801 10097152 10254920 10352896 10514660 11192320 11390080 11472128 11651380 11674832 11821888 11970536 12621440 12806144 12941120 13264648 13669058 14018560 14190592 14340160 14369024 14550016 14593540 14777360 14807104 14963170 15146794 15534080 16007680 16407872 16580810 16823456 17738240 17961280 18187520 18224128 18508880 18642208 18971602 19452121 20194304 20509840 20705792 21029320 21555053 22780160 22944256 23302760 23349664 23643776 23941072 25242880 25882240 26529296 27338116 28680320 28738048 29100032 29187080 29554720 29614208 29926340 30293588 32015360 32815744 33161620 33646912 34172645 35476480 35922560 36375040 36448256 37017760 37284416 37866985 37943204 38904242 40388608 41019680 41411584 42058640 43110106 45560320 45888512 46605520 46699328 47287552 47429005 47882144 50485760 51764480 53058592 54676232 57360640 57476096 58374160 59109440 59228416 59852680 60587176 61348997 64030720 65631488 66323240 67293824 68345290 70952960 71845120 72750080 74035520 74568832 75733970 75886408 77808484 82039360 82823168 84117280 86220212 91120640 91777024 93211040 93398656 94575104 94858010 95764288 97260605 100971520 103528960 106117184 107775265 109352464 114721280 114952192 116748320 118218880 118456832 119705360 121174352 122697994 131262976 132646480 134587648 136690580 143690240 145500160 148071040 149137664 151467940 151772816 155616968 164078720 168234560 172440424 182241280 186422080 186797312 189150208 189716020 191528576 194521210 201943040 207057920 212234368 215550530 218704928 229442560 233496640 236437760 236913664 239410720 242348704 245395988 252877573 262525952 265292960 269175296 273381160 280215689 287380480 296142080 298275328 302935880 303545632 306744985 311233936 328157440 336469120 344880848 372844160 373594624 378300416 379432040 383057152 389042420 414115840 424468736 431101060 437409856 458885120 466993280 472875520 473827328 478821440 484697408 490791976 505755146 525051904 530585920 538350592 546762320 560431378 574760960 592284160 596550656 605871760 607091264 613489970 622467872 656314880 672938240 689761696 745688320 747189248 758864080 766114304 778084840 797536961 848937472 862202120 874819712 933986560 945751040 957642880 969394816 981583952 1011510292 1061171840 1076701184 1093524640 1120862756 1184568320 1193101312 1211743520 1214182528 1226979940 1244935744 1264387865 1312629760 1345876480 1379523392 1401078445 1491376640 1494378496 1517728160 1532228608 1556169680 1595073922 1697874944 1724404240 1749639424 1867973120 1891502080 1915285760 1938789632 1963167904 2023020584 2122343680 2187049280 2241725512 2369136640 2423487040 2428365056 2453959880 2489871488 2528775730 2625259520 2691752960 2759046784 2802156890 2982753280 3035456320 3064457216 3112339360 3190147844 3395749888 3448808480 3499278848 3735946240 3830571520 3877579264 3926335808 3987684805 4046041168 4244687360 4374098560 4483451024 4846974080 4856730112 4907919760 4979742976 5057551460 5383505920 5518093568 5604313780 5965506560 6070912640 6224678720 6380295688 6897616960 6998557696 7471892480 7661143040 7755158528 7852671616 7975369610 8092082336 8489374720 8748197120 8966902048 9693948160 9713460224 9815839520 9959485952 10115102920 10367980493 11036187136 11208627560 12141825280 12449357440 12760591376 13795233920 13997115392 15322286080 15510317056 15705343232 15950739220 16184164672 16978749440 17496394240 17933804096 19387896320 19426920448 19631679040 19918971904 20230205840 20735960986 22072374272 22417255120 24283650560 24898714880 25521182752 27590467840 31410686464 31901478440 32368329344 34992788480 35867608192 38775792640 39263358080 39837943808 40460411680 41471921972 44144748544 44834510240 48567301120 49797429760 51042365504 51839902465 55180935680 62821372928 63802956880 64736658688 69985576960 71735216384 77551585280 78526716160 80920823360 82943843944 89669020480 97134602240 99594859520 102084731008 103679804930 110361871360 125642745856 127605913760 129473317376 143470432768 157053432320 161841646720 165887687888 179338040960 199189719040 204169462016 207359609860 220723742720 255211827520 258946634752 286940865536 314106864640 323683293440 331775375776 358676081920 408338924032 414719219720 510423655040 517893269504 573881731072 628213729280 647366586880 663550751552 717352163840 816677848064 829438439440 1020847310080 1294733173760 1327101503104 1434704327680 1633355696128 1658876878880 2041694620160 2589466347520 2654203006208 2869408655360 3317753757760 4083389240320 5308406012416 6635507515520 8166778480640 10616812024832 13271015031040 21233624049664 26542030062080 53084060124160 106168120248320
- Sum of all divisors σ(n): 290681207795160
- Sum of proper divisors (its aliquot sum) s(n): 184513087546840
- 106168120248320 is an abundant number, because the sum of its proper divisors (184513087546840) is greater than itself. Its abundance is 78344967298520
Bases of 106168120248320
- Binary: 110000010001111001100010001100000001000000000002
- Hexadecimal: 0x608F31180800
- Base-36: 11MSYLM6M8
Squares and roots of 106168120248320
- 106168120248320 squared (1061681202483202) is 11271669757061735178462822400
- 106168120248320 cubed (1061681202483203) is 1196691990167082181908832423617776058368000
-
The
square root of 106168120248320 is 10303791.5472082411 -
The
cube root of 106168120248320 is 47351.2421305839
Scales and comparisons
How big is 106168120248320?- 106,168,120,248,320 seconds is equal to 3,375,817 years, 42 weeks, 6 days, 1 hour, 25 minutes, 20 seconds.
-
To count from 1 to 106,168,120,248,320 would take you about eight million, four hundred thirty-nine thousand, five hundred forty-four 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 106168120248320 cubic inches would be around 3945.9 feet tall.
Recreational maths with 106168120248320
- 106168120248320 backwards is 023842021861601
- The number of decimal digits it has is: 15
- The sum of 106168120248320's digits is 44
- More coming soon!
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The information we have on file for 106168120248320 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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