12822638989992000
12,822,638,989,992,000 is an even composite number composed of seven prime numbers multiplied together.
12822638989992000 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of two thousand, six hundred eighty-eight divisors.
Prime factorization of 12822638989992000:
26 × 3 × 53 × 13 × 433 × 732 × 97
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 5 × 13 × 43 × 43 × 43 × 73 × 73 × 97)See below for interesting mathematical facts about the number 12822638989992000 from the Numbermatics database.
Names of 12822638989992000
- Cardinal: 12822638989992000 can be written as Twelve quadrillion, eight hundred twenty-two trillion, six hundred thirty-eight billion, nine hundred eighty-nine million, nine hundred ninety-two thousand.
Scientific notation
- Scientific notation: 1.2822638989992 × 1016
Factors of 12822638989992000
Divisors of 12822638989992000
- Number of divisors d(n): 2688
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Complete list of divisors:
1 2 3 4 5 6 8 10 12 13 15 16 20 24 25 26 30 32 39 40 43 48 50 52 60 64 65 73 75 78 80 86 96 97 100 104 120 125 129 130 146 150 156 160 172 192 194 195 200 208 215 219 240 250 258 260 291 292 300 312 320 325 344 365 375 388 390 400 416 430 438 480 485 500 516 520 559 582 584 600 624 645 650 688 730 750 776 780 800 832 860 876 949 960 970 975 1000 1032 1040 1075 1095 1118 1164 1168 1200 1248 1261 1290 1300 1376 1455 1460 1500 1552 1560 1600 1625 1677 1720 1752 1825 1849 1898 1940 1950 2000 2064 2080 2150 2190 2236 2328 2336 2400 2425 2496 2522 2580 2600 2752 2795 2847 2910 2920 3000 3104 3120 3139 3225 3250 3354 3440 3504 3650 3698 3783 3796 3880 3900 4000 4128 4160 4171 4300 4380 4472 4656 4672 4745 4800 4850 4875 5044 5160 5200 5329 5375 5475 5547 5590 5694 5820 5840 6000 6208 6240 6278 6305 6450 6500 6708 6880 7008 7081 7275 7300 7396 7566 7592 7760 7800 8000 8256 8342 8385 8600 8760 8944 9125 9245 9312 9417 9490 9700 9750 10088 10320 10400 10658 10750 10950 11094 11180 11388 11640 11680 12000 12125 12480 12513 12556 12610 12900 13000 13416 13760 13975 14016 14162 14235 14550 14600 14792 15132 15184 15520 15600 15695 15987 16125 16684 16770 17200 17520 17888 18250 18490 18624 18834 18915 18980 19400 19500 20176 20640 20800 20855 21243 21316 21500 21900 22188 22360 22776 23280 23360 23725 24000 24037 24250 25026 25112 25220 25800 26000 26645 26832 27375 27735 27950 28324 28470 29100 29200 29584 30264 30368 31040 31200 31390 31525 31974 32250 33368 33540 34400 35040 35405 35776 36375 36500 36980 37668 37830 37960 38800 39000 40352 40807 41280 41710 41925 42486 42632 43000 43800 44376 44720 45552 46225 46560 47085 47450 48074 48500 50052 50224 50440 51600 52000 53290 53664 54223 54750 55470 55900 56648 56940 58200 58400 59168 60528 60736 62400 62565 62780 63050 63948 64500 66736 67080 68800 69277 69875 70080 70810 71175 72111 72750 73000 73960 75336 75660 75920 77600 78000 78475 79507 79935 80704 81614 83420 83850 84972 85264 86000 87600 88752 89440 91104 92053 92450 93120 94170 94575 94900 96148 97000 100104 100448 100880 103200 104000 104275 106215 106580 107328 108446 109500 110940 111800 113296 113880 116400 116800 118336 118625 120185 121056 122421 125130 125560 126100 127896 129000 133225 133472 134160 134977 138554 138675 139750 141620 142350 144222 145500 146000 147920 150672 151320 151840 155200 156000 156950 157625 159014 159870 162669 163228 166840 167700 169944 170528 172000 175200 177025 177504 178880 179353 182208 184106 184900 188340 189150 189800 192296 194000 200208 200896 201760 204035 206400 207831 208550 209625 212430 213160 216892 219000 221880 223600 226592 227760 229147 231125 232800 235425 237250 238521 240370 242112 244842 250260 251120 252200 255792 258000 266450 266944 268320 269954 271115 276159 277108 277350 279500 283240 284700 288444 291000 292000 295840 301344 302640 303680 304483 312000 312825 313900 315250 318028 319740 325338 326456 333680 335400 339888 341056 344000 346385 350400 354050 355008 355875 358706 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117101725936 118239852000 119471517125 120309992400 120723428800 122969446080 123294605673 124250377810 127107840900 127654497750 128093173000 132192154536 133363554000 135117376080 135581696960 136164797600 137700160975 138698096160 139296264000 140747266750 143365820550 144477183500 146377157420 149100453372 150387490500 150904286000 152923541920 153711807600 157113228000 158884801125 160413323200 161276856000 163397757120 164392807564 165240193170 168896720100 169477121200 170205997000 173372620200 175652588904 176256206048 177818072000 180156501440 181085143200 182971446775 183508250304 185092296000 186375566715 191154427400 192139759500 198800604496 200516654000 203372545440 204247196400 204949076800 205491009455 211120900125 211846401500 216715775250 219565736130 220320257560 225195626800 226356429000 229385312880 231163493600 234203451872 236479704000 238943034250 240619984800 246589211346 248500755620 254215681800 255308995500 256186346000 264384309072 266727108000 270234752160 272329595200 275400321950 277396192320 281494533500 286731641100 288954367000 292754314840 298200906744 300774981000 301808572000 305847083840 307423615200 310625944525 314226456000 317769602250 328785615128 330480386340 337793440200 338954242400 340411994000 346745240400 351305177808 352512412096 358414551375 362170286400 365942893550 372751133430 382308854800 384279519000 397601208992 401033308000 406745090880 408494392800 410982018910 413100482925 422241800250 423692803000 433431550500 439131472260 440640515120 450391253600 452712858000 458770625760 462326987200 468406903744 477886068500 481239969600 493178422692 497001511240 508431363600 510617991000 512372692000 528768618144 533454216000 534276624583 540469504320 548914340325 550800643900 562989067000 573463282200 577908734000 585508629680 596401813488 601549962000 603617144000 614847230400 616473028365 621251889050 635539204500 657571230256 660960772680 675586880400 677908484800 680823988000 688500804875 693490480800 702610355616 716829102750 731885787100 745502266860 764617709600 768559038000 795202417984 802066616000 816988785600 821964037820 826200965850 844483600500 847385606000 866863101000 878262944520 881281030240 900782507200 905425716000 914857233875 917541251520 931877833575 955772137000 986356845384 994003022480 1016862727200 1021235982000 1024745384000 1027455047275 1057537236288 1068553249166 1097828680650 1101601287800 1125978134000 1146926564400 1155817468000 1171017259360 1192803626976 1203099924000 1232946056730 1242503778100 1271078409000 1315142460512 1321921545360 1351173760800 1361647976000 1377001609750 1386980961600 1405220711232 1433658205500 1463771574200 1491004533720 1529235419200 1537118076000 1553129722625 1602829873749 1643928075640 1652401931700 1688967201000 1694771212000 1733726202000 1756525889040 1762562060480 1810851432000 1829714467750 1863755667150 1911544274000 1972713690768 1988006044960 2033725454400 2042471964000 2054910094550 2065502414625 2137106498332 2195657361300 2203202575600 2251956268000 2293853128800 2311634936000 2342034518720 2385607253952 2406199848000 2465892113460 2485007556200 2542156818000 2630284921024 2643843090720 2671383122915 2702347521600 2744571701625 2754003219500 2867316411000 2927543148400 2982009067440 3074236152000 3082365141825 3106259445250 3205659747498 3287856151280 3304803863400 3377934402000 3389542424000 3467452404000 3513051778080 3659428935500 3727511334300 3823088548000 3945427381536 3976012089920 4084943928000 4109820189100 4131004829250 4274212996664 4391314722600 4406405151200 4503912536000 4587706257600 4659389167875 4931784226920 4970015112400 5084313636000 5137275236375 5287686181440 5342766245830 5489143403250 5508006439000 5734632822000 5855086296800 5964018134880 6164730283650 6212518890500 6411319494996 6575712302560 6609607726800 6755868804000 6934904808000 7026103556160 7318857871000 7455022668600 7646177096000 7890854763072 8014149368745 8219640378200 8262009658500 8548425993328 8782629445200 8812810302400 9318778335750 9863568453840 9940030224800 10168627272000 10274550472750 10685532491660 10978286806500 11016012878000 11469265644000 11710172593600 11928036269760 12329460567300 12425037781000 12822638989992 13151424605120 13219215453600 13356915614575 13511737608000 14637715742000 14910045337200 15411825709125 16028298737490 16439280756400 16524019317000 17096851986656 17565258890400 18637556671500 19727136907680 19880060449600 20549100945500 21371064983320 21956573613000 22032025756000 22938531288000 24658921134600 24850075562000 25645277979984 26438430907200 26713831229150 29275431484000 29820090674400 30823651418250 32056597474980 32878561512800 33048038634000 34193703973312 35130517780800 37275113343000 39454273815360 40070746843725 41098201891000 42742129966640 43913147226000 44064051512000 49317842269200 49700151124000 51290555959968 53427662458300 58550862968000 59640181348800 61647302836500 64113194949960 65757123025600 66096077268000 66784578072875 74550226686000 80141493687450 82196403782000 85484259933280 87826294452000 98635684538400 99400302248000 102581111919936 106855324916600 123294605673000 128226389899920 132192154536000 133569156145750 149100453372000 160282987374900 164392807564000 170968519866560 175652588904000 197271369076800 200353734218625 213710649833200 246589211346000 256452779799840 267138312291500 298200906744000 320565974749800 328785615128000 400707468437250 427421299666400 493178422692000 512905559599680 534276624583000 641131949499600 801414936874500 854842599332800 986356845384000 1068553249166000 1282263898999200 1602829873749000 2137106498332000 2564527797998400 3205659747498000 4274212996664000 6411319494996000 12822638989992000
- Sum of all divisors σ(n): 47819143647475200
- Sum of proper divisors (its aliquot sum) s(n): 34996504657483200
- 12822638989992000 is an abundant number, because the sum of its proper divisors (34996504657483200) is greater than itself. Its abundance is 22173865667491200
Bases of 12822638989992000
- Binary: 1011011000111000011111010010100001010011100000010000002
- Hexadecimal: 0x2D8E1F4A14E040
- Base-36: 3I98V13WVUO
Squares and roots of 12822638989992000
- 12822638989992000 squared (128226389899920002) is 164420070667663057876160064000000
- 12822638989992000 cubed (128226389899920003) is 2108299208880416297540135323664286079488000000000
-
The
square root of 12822638989992000 is 113237091.9354254699 -
The
cube root of 12822638989992000 is 234059.2478483219
Scales and comparisons
How big is 12822638989992000?- 12,822,638,989,992,000 seconds is equal to 407,720,256 years, 44 weeks, 3 days, 6 hours, 40 minutes.
-
To count from 1 to 12,822,638,989,992,000 would take you about one billion, two hundred twenty-three million, one hundred sixty thousand, seven hundred seventy 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 12822638989992000 cubic inches would be around 19504.9 feet tall.
Recreational maths with 12822638989992000
- 12822638989992000 backwards is 00029998983622821
- 12822638989992000 is a
Harshad number . - The number of decimal digits it has is: 17
- The sum of 12822638989992000's digits is 78
- More coming soon!
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Cite this page
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"Number 12822638989992000 - Facts about the integer". Numbermatics.com. 2024. Web. 16 May 2024.
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Numbermatics. (2024). Number 12822638989992000 - Facts about the integer. Retrieved 16 May 2024, from https://numbermatics.com/n/12822638989992000/
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The information we have on file for 12822638989992000 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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