5398057984716800
5,398,057,984,716,800 is an even composite number composed of seven prime numbers multiplied together.
5398057984716800 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of two thousand, eight hundred eight divisors.
Prime factorization of 5398057984716800:
212 × 52 × 132 × 172 × 31 × 37 × 941
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 13 × 13 × 17 × 17 × 31 × 37 × 941)See below for interesting mathematical facts about the number 5398057984716800 from the Numbermatics database.
Names of 5398057984716800
- Cardinal: 5398057984716800 can be written as Five quadrillion, three hundred ninety-eight trillion, fifty-seven billion, nine hundred eighty-four million, seven hundred sixteen thousand, eight hundred.
Scientific notation
- Scientific notation: 5.3980579847168 × 1015
Factors of 5398057984716800
Divisors of 5398057984716800
- Number of divisors d(n): 2808
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Complete list of divisors:
1 2 4 5 8 10 13 16 17 20 25 26 31 32 34 37 40 50 52 62 64 65 68 74 80 85 100 104 124 128 130 136 148 155 160 169 170 185 200 208 221 248 256 260 272 289 296 310 320 325 338 340 370 400 403 416 425 442 481 496 512 520 527 544 578 592 620 629 640 650 676 680 740 775 800 806 832 845 850 884 925 941 962 992 1024 1040 1054 1088 1105 1147 1156 1184 1240 1258 1280 1300 1352 1360 1445 1480 1550 1600 1612 1664 1690 1700 1768 1850 1882 1924 1984 2015 2048 2080 2108 2176 2210 2294 2312 2368 2405 2480 2516 2560 2600 2635 2704 2720 2873 2890 2960 3100 3145 3200 3224 3328 3380 3400 3536 3700 3757 3764 3848 3968 4030 4096 4160 4216 4225 4352 4420 4588 4624 4705 4736 4810 4960 5032 5120 5200 5239 5270 5408 5440 5525 5735 5746 5780 5920 6200 6253 6290 6400 6448 6656 6760 6800 6851 7072 7225 7400 7514 7528 7696 7936 8060 8177 8320 8432 8450 8704 8840 8959 9176 9248 9410 9472 9620 9920 10064 10075 10240 10400 10478 10540 10693 10816 10880 11050 11470 11492 11560 11840 12025 12233 12400 12506 12580 12800 12896 13175 13312 13520 13600 13702 14144 14365 14450 14800 14911 15028 15056 15392 15725 15872 15997 16120 16354 16640 16864 16900 17408 17680 17918 18352 18496 18785 18820 18944 19240 19499 19840 20128 20150 20480 20800 20956 21080 21386 21632 21760 22100 22940 22984 23120 23525 23680 24050 24466 24800 25012 25160 25600 25792 26195 26350 26624 27040 27200 27404 28288 28675 28730 28900 29171 29600 29822 30056 30112 30784 31265 31450 31744 31994 32240 32708 33280 33728 33800 34255 34816 34817 35360 35836 36704 36992 37570 37640 37888 38480 38998 39680 40256 40300 40885 41600 41912 42160 42772 43264 43520 44200 44795 45880 45968 46240 47050 47360 48100 48841 48932 49600 50024 50320 51200 51584 52390 52700 53248 53465 54080 54400 54808 56576 57350 57460 57800 58342 59200 59644 60112 60224 61165 61568 62530 62900 63488 63988 64480 65416 66560 67456 67600 68510 69632 69634 70720 71672 71825 73408 73984 74555 75140 75280 75776 76960 77996 79360 79985 80512 80600 81770 83200 83824 84320 85544 86528 87040 88400 89063 89590 91760 91936 92480 93925 94100 94720 96200 97495 97682 97864 99200 100048 100640 102400 103168 104780 105400 106301 106930 108160 108800 109616 113152 114700 114920 115600 116467 116684 118400 119288 120224 120448 122330 123136 125060 125800 126976 127976 128960 130832 130975 133120 134912 135200 137020 139009 139268 141440 143344 143650 145855 146816 147968 149110 150280 150560 151552 153920 155992 156325 158720 159029 159970 161024 161200 163540 166400 167648 168640 171088 171275 173056 174080 174085 176800 178126 179180 183520 183872 184960 187850 188200 189440 192400 193843 194990 195364 195728 198400 200096 201280 204425 206336 207961 209560 210800 212602 213860 216320 217600 219232 223975 226304 229400 229840 231200 232934 233368 236800 238576 240448 240896 244205 244660 246272 250120 251600 253487 255952 257920 261664 261950 266240 267325 269824 270400 271949 274040 278018 278536 282880 286688 287300 291710 293632 295936 298220 300560 301120 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57365122048 57472004096 58370004160 58715388800 58828007680 60252907520 60609433600 61064004352 62018129420 62385100600 63102707200 64018714240 64397523200 64880504624 66015139840 66973424128 67046626400 67488378880 68019883880 69209420800 70141086080 71237040550 71706402560 71840005120 72403701760 72962505200 73535009600 75155697664 75316134400 76330005440 77520435200 77522661775 78792263680 79852928768 80023392800 81100630780 82518924800 83716780160 84360473600 85024854850 85819681792 86327490560 87676357600 88254033920 89633003200 89800006400 90504627200 91183411904 92524390400 93392006656 93944622080 94124812288 95412506800 98490329600 99229007072 99816160960 100964331520 101375788475 102429942784 103036037120 104645975200 105430820014 107274602240 107909363200 108831814208 110317542400 110523084800 112225737728 113979264880 114730244096 116740008320 117430777600 117656015360 120505815040 122128008704 124036258840 124770201200 126205414400 128037428480 128795046400 129761009248 132030279680 133946848256 134093252800 136039767760 138418841600 140282172160 142474081100 143412805120 143680010240 145925010400 147070019200 150632268800 152660010880 155040870400 155045323550 157584527360 159705857536 160046785600 162201261560 165037849600 167433560320 168720947200 170049709700 171639363584 172654981120 175352715200 179266006400 179600012800 181009254400 182366823808 185048780800 186784013312 187889244160 188249624576 190825013600 196980659200 198458014144 199632321920 202751576950 204859885568 206072074240 209291950400 210861640028 214549204480 215818726400 217663628416 220635084800 224451475456 227958529760 229460488192 233480016640 234861555200 235312030720 244256017408 248072517680 249540402400 252410828800 256074856960 257590092800 259522018496 263577050035 267893696512 268186505600 272079535520 276837683200 280564344320 284948162200 286825610240 287360020480 291850020800 294140038400 301264537600 305320021760 310090647100 319411715072 320093571200 324402523120 330075699200 334867120640 337441894400 340099419400 343278727168 350705430400 358532012800 359200025600 362018508800 364733647616 373568026624 375778488320 381650027200 393961318400 396916028288 399264643840 405503153900 409719771136 418583900800 421723280056 429098408960 431637452800 435327256832 441270169600 448902950912 455917059520 466960033280 469723110400 470624061440 488512034816 496145035360 499080804800 504821657600 512149713920 515180185600 519044036992 527154100070 535787393024 536373011200 544159071040 561128688640 569896324400 573651220480 583700041600 588280076800 602529075200 610640043520 620181294200 638823430144 640187142400 648805046240 660151398400 669734241280 680198838800 701410860800 717064025600 718400051200 729467295232 747136053248 763300054400 787922636800 793832056576 798529287680 811006307800 837167801600 843446560112 858196817920 863274905600 870654513664 911834119040 933920066560 939446220800 941248122880 977024069632 992290070720 998161609600 1024299427840 1030360371200 1038088073984 1054308200140 1072746022400 1088318142080 1122257377280 1139792648800 1147302440960 1167400083200 1176560153600 1221280087040 1240362588400 1277646860288 1280374284800 1297610092480 1317885250175 1339468482560 1360397677600 1402821721600 1434128051200 1436800102400 1458934590464 1526600108800 1587664113152 1597058575360 1622012615600 1674335603200 1686893120224 1716393635840 1741309027328 1823668238080 1867840133120 1878892441600 1984580141440 1996323219200 2048598855680 2076176147968 2108616400280 2145492044800 2176636284160 2244514754560 2279585297600 2334800166400 2353120307200 2442560174080 2480725176800 2560748569600 2595220184960 2635770500350 2678936965120 2720795355200 2805643443200 2868256102400 2917869180928 3053200217600 3175328226304 3194117150720 3244025231200 3348671206400 3373786240448 3482618054656 3647336476160 3735680266240 3969160282880 3992646438400 4152352295936 4217232800560 4290984089600 4353272568320 4559170595200 4669600332800 4706240614400 4885120348160 4961450353600 5121497139200 5190440369920 5271541000700 5441590710400 5611286886400 5736512204800 5835738361856 6106400435200 6350656452608 6388234301440 6488050462400 6697342412800 6747572480896 6965236109312 7294672952320 7938320565760 7985292876800 8304704591872 8434465601120 8581968179200 8706545136640 9118341190400 9339200665600 9922900707200 10242994278400 10380880739840 10543082001400 10883181420800 11222573772800 12212800870400 12701312905216 12976100924800 13394684825600 13495144961792 14589345904640 15876641131520 15970585753600 16609409183744 16868931202240 17413090273280 18236682380800 18678401331200 19845801414400 20761761479680 21086164002800 21766362841600 24425601740800 25952201849600 26990289923584 29178691809280 31753282263040 31941171507200 33737862404480 34826180546560 36473364761600 39691602828800 41523522959360 42172328005600 43532725683200 51904403699200 53980579847168 63506564526080 67475724808960 72946729523200 79383205657600 83047045918720 84344656011200 87065451366400 103808807398400 107961159694336 134951449617920 145893459046400 158766411315200 168689312022400 174130902732800 207617614796800 215922319388672 269902899235840 317532822630400 337378624044800 415235229593600 539805798471680 674757248089600 1079611596943360 1349514496179200 2699028992358400 5398057984716800
- Sum of all divisors σ(n): 16340771710495872
- Sum of proper divisors (its aliquot sum) s(n): 10942713725779072
- 5398057984716800 is an abundant number, because the sum of its proper divisors (10942713725779072) is greater than itself. Its abundance is 5544655741062272
Bases of 5398057984716800
- Binary: 100110010110110000001010100001010011111110000000000002
- Hexadecimal: 0x132D8150A7F000
- Base-36: 1H5G9LQDFY8
Squares and roots of 5398057984716800
- 5398057984716800 squared (53980579847168002) is 29139030006364800182376202240000
- 5398057984716800 cubed (53980579847168003) is 157294173592759937149602803363957945925632000000
-
The
square root of 5398057984716800 is 73471477.3549355001 -
The
cube root of 5398057984716800 is 175420.0303372359
Scales and comparisons
How big is 5398057984716800?- 5,398,057,984,716,800 seconds is equal to 171,641,546 years, 32 weeks, 3 days, 6 hours, 13 minutes, 20 seconds.
-
To count from 1 to 5,398,057,984,716,800 would take you about five hundred fourteen million, nine hundred twenty-four thousand, six hundred thirty-nine 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 5398057984716800 cubic inches would be around 14618.3 feet tall.
Recreational maths with 5398057984716800
- 5398057984716800 backwards is 0086174897508935
- 5398057984716800 is a
Harshad number . - The number of decimal digits it has is: 16
- The sum of 5398057984716800's digits is 80
- More coming soon!
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Cite this page
MLA style:
"Number 5398057984716800 - Facts about the integer". Numbermatics.com. 2024. Web. 3 June 2024.
APA style:
Numbermatics. (2024). Number 5398057984716800 - Facts about the integer. Retrieved 3 June 2024, from https://numbermatics.com/n/5398057984716800/
Chicago style:
Numbermatics. 2024. "Number 5398057984716800 - Facts about the integer". https://numbermatics.com/n/5398057984716800/
The information we have on file for 5398057984716800 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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