122090707868032800
122,090,707,868,032,800 is an even composite number composed of six prime numbers multiplied together.
What does the number 122090707868032800 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 2430 divisors.
122090707868032800 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two thousand, four hundred thirty divisors.
Prime factorization of 122090707868032800:
25 × 34 × 52 × 132 × 172 × 62112
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 5 × 5 × 13 × 13 × 17 × 17 × 6211 × 6211)See below for interesting mathematical facts about the number 122090707868032800 from the Numbermatics database.
Names of 122090707868032800
- Cardinal: 122090707868032800 can be written as One hundred twenty-two quadrillion, ninety trillion, seven hundred seven billion, eight hundred sixty-eight million, thirty-two thousand, eight hundred.
Scientific notation
- Scientific notation: 1.220907078680328 × 1017
Factors of 122090707868032800
Divisors of 122090707868032800
- Number of divisors d(n): 2430
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Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 13 15 16 17 18 20 24 25 26 27 30 32 34 36 39 40 45 48 50 51 52 54 60 65 68 72 75 78 80 81 85 90 96 100 102 104 108 117 120 130 135 136 144 150 153 156 160 162 169 170 180 195 200 204 208 216 221 225 234 240 255 260 270 272 288 289 300 306 312 324 325 338 340 351 360 390 400 405 408 416 425 432 442 450 459 468 480 507 510 520 540 544 578 585 600 612 624 648 650 663 675 676 680 702 720 765 780 800 810 816 845 850 864 867 884 900 918 936 975 1014 1020 1040 1053 1080 1105 1156 1170 1200 1224 1248 1275 1296 1300 1326 1350 1352 1360 1377 1404 1440 1445 1521 1530 1560 1620 1632 1690 1700 1734 1755 1768 1800 1836 1872 1950 1989 2025 2028 2040 2080 2106 2160 2210 2295 2312 2340 2400 2448 2535 2550 2592 2600 2601 2652 2700 2704 2720 2754 2808 2873 2890 2925 3042 3060 3120 3240 3315 3380 3400 3468 3510 3536 3600 3672 3744 3757 3825 3900 3978 4050 4056 4080 4212 4225 4320 4335 4420 4563 4590 4624 4680 4896 5070 5100 5200 5202 5265 5304 5400 5408 5508 5525 5616 5746 5780 5850 5967 6084 6120 6211 6240 6480 6630 6760 6800 6885 6936 7020 7072 7200 7225 7344 7514 7605 7650 7800 7803 7956 8100 8112 8160 8424 8450 8619 8670 8775 8840 9126 9180 9248 9360 9945 10140 10200 10400 10404 10530 10608 10800 11016 11050 11232 11271 11475 11492 11560 11700 11934 12168 12240 12422 12675 12960 13005 13260 13520 13600 13689 13770 13872 14040 14365 14450 14688 15028 15210 15300 15600 15606 15912 16200 16224 16575 16848 16900 17238 17340 17550 17680 17901 18252 18360 18633 18720 18785 19890 20280 20400 20808 21060 21216 21600 21675 22032 22100 22542 22815 22950 22984 23120 23400 23409 23868 24336 24480 24844 25350 25857 26010 26325 26520 27040 27378 27540 27744 28080 28730 28900 29835 30056 30420 30600 31055 31200 31212 31824 32400 33150 33696 33800 33813 34425 34476 34680 35100 35360 35802 36504 36720 37266 37570 38025 39015 39780 40560 40800 41616 42120 43095 43350 44064 44200 45084 45630 45900 45968 46240 46800 46818 47736 48672 48841 49688 49725 50700 51714 52020 52650 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10639713103968 10832287096800 10869899204775 11048932838736 11083034483300 11304695172966 11509305040350 11594559151760 11734977688200 11739491141157 11969677241964 12040503734520 12276592043040 13043879045730 13201849899225 13299641379960 13378337482800 13811166048420 13913470982112 14081973225840 14165298511200 14448604481424 14493198939700 14962096552455 15050629668150 15072926897288 15345740053800 15646636917600 15652654854876 15959569655952 16054004979360 16248430645200 16624551724950 16898367871008 16957042759449 17263957560525 17391838727640 17602466532300 17732855173280 17954515862946 18060755601780 18414888064560 18841158621610 19565818568595 19657174024800 19949462069940 20067506224200 20460986738400 20870206473168 21122959838760 21247947766800 21739798409550 22097865677472 22166068966600 22575944502225 22609390345932 23018610080700 23189118303520 23469955376400 23478982282314 23939354483928 24081007469040 24936827587425 26087758091460 26403699798450 26599282759920 26756674965600 27622332096840 28163946451680 28261737932415 28897208962848 28986397879400 29924193104910 30101259336300 30145853794576 30691480107600 31305309709752 31919139311904 32496861290400 32609697614325 33249103449900 33914085518898 34527915121050 34783677455280 35204933064600 35909031725892 36121511203560 36829776129120 37682317243220 39131637137190 39898924139880 40135012448400 41740412946336 42245919677520 42495895533600 43479596819100 44332137933200 44886289657365 45151889004450 45218780691864 46037220161400 46939910752800 46957964564628 47102896554025 47878708967856 48162014938080 49873655174850 50871128278347 52175516182920 52807399596900 53198565519840 55244664193680 56523475864830 57972795758800 58697455705785 59848386209820 60202518672600 60291707589152 61382960215200 62610619419504 65219395228650 66498206899800 67828171037796 69055830242100 69567354910560 70409866129200 71818063451784 72243022407120 74810482762275 75364634486440 78263274274380 79797848279760 80270024896800 84491839355040 84785213797245 86959193638200 88664275866400 89772579314730 90303778008900 90437561383728 92074440322800 93915929129256 94205793108050 95757417935712 97829092842975 99747310349700 101742256556694 104351032365840 105614799193800 110489328387360 113046951729660 115945591517600 117394911411570 119696772419640 120405037345200 125221238839008 130438790457300 132996413799600 135656342075592 138111660484200 140819732258400 141308689662075 143636126903568 144486044814240 149620965524550 150729268972880 152613384835041 156526548548760 159595696559520 169570427594490 173918387276400 179545158629460 180607556017800 180875122767456 184148880645600 187831858258512 188411586216100 195658185685950 199494620699400 203484513113388 208702064731680 211229598387600 224431448286825 226093903459320 234789822823140 239393544839280 240810074690400 254355641391735 260877580914600 265992827599200 271312684151184 276223320968400 282617379324150 287272253807136 293487278528925 299241931049100 301458537945760 305226769670082 313053097097520 339140855188980 347836774552800 359090317258920 361215112035600 375663716517024 376823172432200 391316371371900 398989241398800 406969026226776 422459196775200 423926068986225 448862896573650 452187806918640 469579645646280 478787089678560 508711282783470 521755161829200 542625368302368 552446641936800 565234758648300 586974557057850 598483862098200 610453539340164 626106194195040 678281710377960 718180634517840 722430224071200 753646344864400 763066924175205 782632742743800 797978482797600 813938052453552 847852137972450 897725793147300 904375613837280 939159291292560 1017422565566940 1043510323658400 1130469517296600 1173949114115700 1196967724196400 1220907078680328 1271778206958675 1356563420755920 1436361269035680 1507292689728800 1526133848350410 1565265485487600 1627876104907104 1695704275944900 1795451586294600 1878318582585120 2034845131133880 2260939034593200 2347898228231400 2393935448392800 2441814157360656 2543556413917350 2713126841511840 3052267696700820 3130530970975200 3391408551889800 3590903172589200 3815334620876025 4069690262267760 4521878069186400 4695796456462800 4883628314721312 5087112827834700 6104535393401640 6782817103779600 7181806345178400 7630669241752050 8139380524535520 9391592912925600 10174225655669400 12209070786803280 13565634207559200 15261338483504100 20348451311338800 24418141573606560 30522676967008200 40696902622677600 61045353934016400 122090707868032800
- Sum of all divisors σ(n): 512235963322424649
- Sum of proper divisors (its aliquot sum) s(n): 390145255454391849
- 122090707868032800 is an abundant number, because the sum of its proper divisors (390145255454391849) is greater than itself. Its abundance is 268054547586359049
Bases of 122090707868032800
- Binary: 1101100011100000011011010000110001101100110011111001000002
- Hexadecimal: 0x1B1C0DA18D99F20
- Base-36: XE5JKW7YQ00
Squares and roots of 122090707868032800
- 122090707868032800 squared (1220907078680328002) is 14906140947717326255860141875840000
- 122090707868032800 cubed (1220907078680328003) is 1819901299887477662769351933129407179762647552000000
-
The
square root of 122090707868032800 is 349414807.7400738897 -
The
cube root of 122090707868032800 is 496090.4544046969
Scales and comparisons
How big is 122090707868032800?- 122,090,707,868,032,800 seconds is equal to 3,882,106,858 years, 44 weeks, 18 hours.
-
To count from 1 to 122,090,707,868,032,800 would take you about eleven billion, six hundred forty-six million, three hundred twenty thousand, five hundred seventy-six 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 122090707868032800 cubic inches would be around 41340.9 feet tall.
Recreational maths with 122090707868032800
- 122090707868032800 backwards is 008230868707090221
- The number of decimal digits it has is: 18
- The sum of 122090707868032800's digits is 63
- More coming soon!
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"Number 122090707868032800 - Facts about the integer". Numbermatics.com. 2024. Web. 13 May 2024.
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Numbermatics. (2024). Number 122090707868032800 - Facts about the integer. Retrieved 13 May 2024, from https://numbermatics.com/n/122090707868032800/
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The information we have on file for 122090707868032800 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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