13215744080668800
13,215,744,080,668,800 is an even composite number composed of eight prime numbers multiplied together.
13215744080668800 is an even composite number. It is composed of eight distinct prime numbers multiplied together. It has a total of two thousand, three hundred four divisors.
Prime factorization of 13215744080668800:
27 × 32 × 52 × 11 × 71 × 281 × 1201 × 1741
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 11 × 71 × 281 × 1201 × 1741)See below for interesting mathematical facts about the number 13215744080668800 from the Numbermatics database.
Names of 13215744080668800
- Cardinal: 13215744080668800 can be written as Thirteen quadrillion, two hundred fifteen trillion, seven hundred forty-four billion, eighty million, six hundred sixty-eight thousand, eight hundred.
Scientific notation
- Scientific notation: 1.32157440806688 × 1016
Factors of 13215744080668800
Divisors of 13215744080668800
- Number of divisors d(n): 2304
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Complete list of divisors:
1 2 3 4 5 6 8 9 10 11 12 15 16 18 20 22 24 25 30 32 33 36 40 44 45 48 50 55 60 64 66 71 72 75 80 88 90 96 99 100 110 120 128 132 142 144 150 160 165 176 180 192 198 200 213 220 225 240 264 275 281 284 288 300 320 330 352 355 360 384 396 400 426 440 450 480 495 528 550 562 568 576 600 639 640 660 704 710 720 781 792 800 825 843 852 880 900 960 990 1056 1065 1100 1124 1136 1152 1200 1201 1278 1320 1405 1408 1420 1440 1562 1584 1600 1650 1686 1704 1741 1760 1775 1800 1920 1980 2112 2130 2200 2248 2272 2343 2400 2402 2475 2529 2556 2640 2810 2840 2880 3091 3124 3168 3195 3200 3300 3372 3408 3482 3520 3550 3600 3603 3905 3960 4215 4224 4260 4400 4496 4544 4686 4800 4804 4950 5058 5112 5223 5280 5325 5620 5680 5760 6005 6182 6248 6336 6390 6600 6744 6816 6964 7025 7029 7040 7100 7200 7206 7810 7920 8430 8520 8705 8800 8992 9088 9273 9372 9600 9608 9900 10116 10224 10446 10560 10650 10809 11240 11360 11715 12010 12364 12496 12645 12672 12780 13200 13211 13488 13632 13928 14050 14058 14200 14400 14412 15455 15620 15669 15840 15975 16860 17040 17410 17600 17984 18015 18546 18744 19151 19216 19525 19800 19951 20232 20448 20892 21075 21120 21300 21618 22480 22720 23430 24020 24728 24992 25290 25560 26115 26400 26422 26976 27264 27819 27856 28100 28116 28400 28800 28824 30025 30910 31240 31338 31680 31950 33720 34080 34820 35145 35200 35968 36030 37092 37488 38302 38432 39050 39600 39633 39902 40464 40896 41784 42150 42600 43236 43525 44960 45440 46365 46860 48040 49456 49984 50580 51120 52230 52800 52844 53952 54045 55638 55712 56200 56232 56800 57453 57648 58575 59853 60050 61820 62480 62676 63225 63360 63900 66055 67440 68160 69640 70290 72060 74184 74976 76604 76864 77275 78100 78345 79200 79266 79804 80928 81792 83568 84300 85200 85271 86472 87050 89920 90075 92730 93720 95755 96080 98912 99755 99968 101160 102240 104460 105600 105688 107904 108090 111276 111424 112400 112464 113600 114906 115296 117150 118899 119706 120100 123611 123640 124960 125352 126450 127800 130575 132110 134880 136320 139095 139280 140580 144120 148368 149952 153208 153728 154550 156200 156690 158400 158532 159608 161856 167136 168600 170400 170542 172359 172944 174100 175725 179559 179840 180150 185460 187440 191510 192160 197824 198165 199510 202320 204480 208920 211376 216180 219461 222552 222848 224800 224928 227200 229812 230592 231825 234300 237798 239412 240200 247222 247280 249920 250704 252900 255600 255813 261150 264220 269760 270225 278190 278560 281160 287265 288240 296736 299265 299904 306416 309100 312400 313380 316800 317064 319216 323712 330275 334272 337200 337481 340800 341084 344718 345888 348200 351450 359118 360300 370833 370920 374880 383020 384320 391725 395648 396330 399020 404640 408960 417840 422752 426355 432360 438922 445104 449600 449856 459624 461184 463650 468600 475596 478775 478824 480400 489221 494444 494560 498775 499840 501408 505800 511200 511626 522300 528440 539520 540450 556380 557120 562320 574530 576480 593472 594495 598530 612832 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5170478904800 5225679747200 5339694578048 5501975054400 5506560033612 5640522441600 5816788767900 5878889715600 6007156400304 6204574685760 6257454583650 6674618222560 6883200042015 7342080044816 7445489622912 7508945500380 7590892636800 7755718357200 7838519620800 8009541867072 8259840050418 8343272778200 8460783662400 9177600056020 9306862028640 9386181875475 9406223544960 10011927333840 10340957809600 11003950108800 11013120067224 11472000070025 11633577535800 11757779431200 12014312800608 12409149371520 12514909167300 13349236445120 13766400084030 14684160089632 15017891000760 15511436714400 15677039241600 16019083734144 16519680100836 16686545556400 16921567324800 18355200112040 18613724057280 18772363750950 20023854667680 20649600126045 20681915619200 22026240134448 22944000140050 23267155071600 23515558862400 24028625601216 25029818334600 26698472890240 27532800168060 29368320179264 30035782001520 31022873428800 33039360201672 33373091112800 34416000210075 36710400224080 37227448114560 37544727501900 40047709335360 41299200252090 44052480268896 45888000280100 46534310143200 47031117724800 48057251202432 50059636669200 55065600336120 58736640358528 60071564003040 62045746857600 66078720403344 66746182225600 68832000420150 73420800448160 75089455003800 80095418670720 82598400504180 88104960537792 91776000560200 93068620286400 100119273338400 103248000630225 110131200672240 120143128006080 132157440806688 133492364451200 137664000840300 146841600896320 150178910007600 165196801008360 176209921075584 183552001120400 186137240572800 200238546676800 206496001260450 220262401344480 240286256012160 264314881613376 275328001680600 293683201792640 300357820015200 330393602016720 367104002240800 400477093353600 412992002520900 440524802688960 528629763226752 550656003361200 600715640030400 660787204033440 734208004481600 825984005041800 881049605377920 1101312006722400 1201431280060800 1321574408066880 1468416008963200 1651968010083600 2202624013444800 2643148816133760 3303936020167200 4405248026889600 6607872040334400 13215744080668800
- Sum of all divisors σ(n): 52427686727220480
- Sum of proper divisors (its aliquot sum) s(n): 39211942646551680
- 13215744080668800 is an abundant number, because the sum of its proper divisors (39211942646551680) is greater than itself. Its abundance is 25996198565882880
Bases of 13215744080668800
- Binary: 1011101111001110100110001100110101111011101000100000002
- Hexadecimal: 0x2EF3A6335EE880
- Base-36: 3M4L90L89S0
Squares and roots of 13215744080668800
- 13215744080668800 squared (132157440806688002) is 174655891605732425681855293440000
- 13215744080668800 cubed (132157440806688003) is 2308207565642389859074932903992367655452672000000
-
The
square root of 13215744080668800 is 114959749.8286630753 -
The
cube root of 13215744080668800 is 236427.0735741225
Scales and comparisons
How big is 13215744080668800?- 13,215,744,080,668,800 seconds is equal to 420,219,782 years, 40 weeks, 5 days, 16 hours.
-
To count from 1 to 13,215,744,080,668,800 would take you about one billion, two hundred sixty million, six hundred fifty-nine thousand, three hundred forty-eight 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 13215744080668800 cubic inches would be around 19702.3 feet tall.
Recreational maths with 13215744080668800
- 13215744080668800 backwards is 00886608044751231
- The number of decimal digits it has is: 17
- The sum of 13215744080668800's digits is 63
- More coming soon!
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"Number 13215744080668800 - Facts about the integer". Numbermatics.com. 2024. Web. 24 June 2024.
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Numbermatics. (2024). Number 13215744080668800 - Facts about the integer. Retrieved 24 June 2024, from https://numbermatics.com/n/13215744080668800/
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The information we have on file for 13215744080668800 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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