13485078923366400
13,485,078,923,366,400 is an even composite number composed of six prime numbers multiplied together.
13485078923366400 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two thousand, three hundred forty divisors.
Prime factorization of 13485078923366400:
212 × 3 × 52 × 72 × 23 × 794
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 7 × 7 × 23 × 79 × 79 × 79 × 79)See below for interesting mathematical facts about the number 13485078923366400 from the Numbermatics database.
Names of 13485078923366400
- Cardinal: 13485078923366400 can be written as Thirteen quadrillion, four hundred eighty-five trillion, seventy-eight billion, nine hundred twenty-three million, three hundred sixty-six thousand, four hundred.
Scientific notation
- Scientific notation: 1.34850789233664 × 1016
Factors of 13485078923366400
Divisors of 13485078923366400
- Number of divisors d(n): 2340
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Complete list of divisors:
1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 23 24 25 28 30 32 35 40 42 46 48 49 50 56 60 64 69 70 75 79 80 84 92 96 98 100 105 112 115 120 128 138 140 147 150 158 160 161 168 175 184 192 196 200 210 224 230 237 240 245 256 276 280 294 300 316 320 322 336 345 350 368 384 392 395 400 420 448 460 474 480 483 490 512 525 552 553 560 575 588 600 632 640 644 672 690 700 735 736 768 784 790 800 805 840 896 920 948 960 966 980 1024 1050 1104 1106 1120 1127 1150 1176 1185 1200 1225 1264 1280 1288 1344 1380 1400 1470 1472 1536 1568 1580 1600 1610 1659 1680 1725 1792 1817 1840 1896 1920 1932 1960 1975 2048 2100 2208 2212 2240 2254 2300 2352 2370 2400 2415 2450 2528 2560 2576 2688 2760 2765 2800 2940 2944 3072 3136 3160 3200 3220 3318 3360 3381 3450 3584 3634 3675 3680 3792 3840 3864 3871 3920 3950 4025 4096 4200 4416 4424 4480 4508 4600 4704 4740 4800 4830 4900 5056 5120 5152 5376 5451 5520 5530 5600 5635 5880 5888 5925 6144 6241 6272 6320 6400 6440 6636 6720 6762 6900 7168 7268 7350 7360 7584 7680 7728 7742 7840 7900 8050 8295 8400 8832 8848 8960 9016 9085 9200 9408 9480 9600 9660 9800 10112 10240 10304 10752 10902 11040 11060 11200 11270 11613 11760 11776 11850 12075 12288 12482 12544 12640 12719 12800 12880 13272 13440 13524 13800 13825 14336 14536 14700 14720 15168 15360 15456 15484 15680 15800 16100 16590 16800 16905 17664 17696 17920 18032 18170 18400 18723 18816 18960 19200 19320 19355 19600 20224 20480 20608 21504 21804 22080 22120 22400 22540 23226 23520 23552 23700 24150 24964 25088 25280 25438 25600 25760 26544 26880 27048 27255 27600 27650 28175 28672 29072 29400 29440 30336 30720 30912 30968 31205 31360 31600 32200 33180 33600 33810 35328 35392 35840 36064 36340 36800 37446 37632 37920 38157 38400 38640 38710 39200 40448 41216 41475 43008 43608 43687 44160 44240 44800 45080 45425 46452 47040 47104 47400 48300 49928 50176 50560 50876 51200 51520 53088 53760 54096 54510 55200 55300 56350 58065 58144 58800 58880 60672 61440 61824 61936 62410 62720 63200 63595 64400 66360 67200 67620 70656 70784 71680 72128 72680 73600 74892 75264 75840 76314 76800 77280 77420 78400 80896 82432 82950 84525 86016 87216 87374 88320 88480 89033 89600 90160 90850 92904 93615 94080 94208 94800 96600 96775 99856 100352 101120 101752 102400 103040 106176 107520 108192 109020 110400 110600 112700 116130 116288 117600 117760 121344 123648 123872 124820 125440 126400 127190 128800 131061 132720 134400 135240 136275 141312 141568 143360 143543 144256 145360 147200 149784 150528 151680 152628 153600 154560 154840 156025 156800 161792 164864 165900 169050 174432 174748 176640 176960 178066 179200 180320 181700 185808 187230 188160 189600 190785 193200 193550 199712 200704 202240 203504 206080 212352 215040 216384 218040 218435 220800 221200 225400 232260 232576 235200 235520 242688 247296 247744 249640 250880 252800 254380 257600 262122 265440 267099 268800 270480 272550 282624 283136 287086 288512 290325 290720 294400 299568 301056 303360 305256 305809 307200 309120 309680 312050 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688014230784 696723271680 697985451520 702347860592 711238339840 716681490400 720241356800 732884724096 742161745920 747841555200 752515564920 762041078400 763421587600 797697658880 802683269248 812843816960 837582541824 853486007808 860017788480 870904089600 872481814400 877934825740 889047924800 916105905120 917352307712 927702182400 940644456150 975412580352 977179632128 997122073600 1003354086560 1016054771200 1046978177280 1053521790888 1060231065600 1066857509760 1075022235600 1080362035200 1097418532175 1116776722432 1137981343744 1145132381400 1146690384640 1161205452800 1196546488320 1204024903872 1219265725440 1221474540160 1236936243200 1254192608200 1308722721600 1316902238610 1333571887200 1376028461568 1395970903040 1404695721184 1422476679680 1433362980800 1465769448192 1484323491840 1495683110400 1505031129840 1524082156800 1526843175200 1605366538496 1625687633920 1675165083648 1706972015616 1720035576960 1741808179200 1744963628800 1755869651480 1778095849600 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5733451923200 5863077792768 5982732441600 6020124519360 6096328627200 6107372700800 6421466153984 6584511193050 6827888062464 6880142307840 6979854515200 7023478605920 7112383398400 7328847240960 7421617459200 7525155649200 7817437057024 8026832692480 8128438169600 8375825418240 8428174327104 8534860078080 8600177884800 8779348257400 9161059051200 9173523077120 9632199230976 9771796321280 10033540865600 10469781772800 10535217908880 10668575097600 11008227692544 11237565769472 11379813437440 11466903846400 11726155585536 11965464883200 12040249038720 12192657254400 12214745401600 12842932307968 13169022386100 13760284615680 13959709030400 14046957211840 14224766796800 14657694481920 15050311298400 16053665384960 16751650836480 16856348654208 17069720156160 17200355769600 17558696514800 18322118102400 18347046154240 19264398461952 19543592642560 20067081731200 20939563545600 21070435817760 21337150195200 22475131538944 22933807692800 23452311171072 24080498077440 24385314508800 24429490803200 25685864615936 26338044772200 27520569231360 27919418060800 28093914423680 28449533593600 29315388963840 30100622596800 32107330769920 33712697308416 34139440312320 34400711539200 35117393029600 36644236204800 38528796923904 39087185285120 40134163462400 41879127091200 42140871635520 42674300390400 44950263077888 45867615385600 48160996154880 48858981606400 52676089544400 55041138462720 56187828847360 56899067187200 58630777927680 60201245193600 64214661539840 67425394616832 68801423078400 70234786059200 73288472409600 77057593847808 80268326924800 83758254182400 84281743271040 85348600780800 89900526155776 91735230771200 96321992309760 97717963212800 105352179088800 112375657694720 117261555855360 120402490387200 128429323079680 134850789233664 137602846156800 140469572118400 146576944819200 160536653849600 168563486542080 170697201561600 179801052311552 192643984619520 195435926425600 210704358177600 224751315389440 240804980774400 269701578467328 275205692313600 280939144236800 293153889638400 321073307699200 337126973084160 385287969239040 421408716355200 449502630778880 481609961548800 539403156934656 561878288473600 586307779276800 642146615398400 674253946168320 842817432710400 899005261557760 963219923097600 1123756576947200 1348507892336640 1685634865420800 1926439846195200 2247513153894400 2697015784673280 3371269730841600 4495026307788800 6742539461683200 13485078923366400
- Sum of all divisors σ(n): 54813251132656992
- Sum of proper divisors (its aliquot sum) s(n): 41328172209290592
- 13485078923366400 is an abundant number, because the sum of its proper divisors (41328172209290592) is greater than itself. Its abundance is 27843093285924192
Bases of 13485078923366400
- Binary: 1011111110100010011011100110101111111011010000000000002
- Hexadecimal: 0x2FE89B9AFED000
- Base-36: 3OS27QGJVUO
Squares and roots of 13485078923366400
- 13485078923366400 squared (134850789233664002) is 181847353569420705763908648960000
- 13485078923366400 cubed (134850789233664003) is 2452225914888952846964504882779797999058944000000
-
The
square root of 13485078923366400 is 116125272.5437766195 -
The
cube root of 13485078923366400 is 238022.4005195131
Scales and comparisons
How big is 13485078923366400?- 13,485,078,923,366,400 seconds is equal to 428,783,797 years, 35 weeks, 18 hours, 40 minutes.
-
To count from 1 to 13,485,078,923,366,400 would take you about one billion, two hundred eighty-six million, three hundred fifty-one thousand, three hundred ninety-three 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 13485078923366400 cubic inches would be around 19835.2 feet tall.
Recreational maths with 13485078923366400
- 13485078923366400 backwards is 00466332987058431
- 13485078923366400 is a
Harshad number . - The number of decimal digits it has is: 17
- The sum of 13485078923366400's digits is 69
- More coming soon!
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"Number 13485078923366400 - Facts about the integer". Numbermatics.com. 2024. Web. 12 June 2024.
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Numbermatics. (2024). Number 13485078923366400 - Facts about the integer. Retrieved 12 June 2024, from https://numbermatics.com/n/13485078923366400/
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The information we have on file for 13485078923366400 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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