13248577536480
13,248,577,536,480 is an even composite number composed of seven prime numbers multiplied together.
What does the number 13248577536480 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 1728 divisors.
13248577536480 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand, seven hundred twenty-eight divisors.
Prime factorization of 13248577536480:
25 × 32 × 5 × 11 × 133 × 61 × 792
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 11 × 13 × 13 × 13 × 61 × 79 × 79)See below for interesting mathematical facts about the number 13248577536480 from the Numbermatics database.
Names of 13248577536480
- Cardinal: 13248577536480 can be written as Thirteen trillion, two hundred forty-eight billion, five hundred seventy-seven million, five hundred thirty-six thousand, four hundred eighty.
Scientific notation
- Scientific notation: 1.324857753648 × 1013
Factors of 13248577536480
Divisors of 13248577536480
- Number of divisors d(n): 1728
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 11 12 13 15 16 18 20 22 24 26 30 32 33 36 39 40 44 45 48 52 55 60 61 65 66 72 78 79 80 88 90 96 99 104 110 117 120 122 130 132 143 144 156 158 160 165 169 176 180 183 195 198 208 220 234 237 240 244 260 264 286 288 305 312 316 330 338 352 360 366 390 395 396 416 429 440 468 474 480 488 495 507 520 528 549 572 585 610 624 632 660 671 676 711 715 720 732 780 790 792 793 845 858 869 880 915 936 948 976 990 1014 1027 1040 1056 1098 1144 1170 1185 1220 1248 1264 1287 1320 1342 1352 1422 1430 1440 1464 1521 1560 1580 1584 1586 1690 1716 1738 1760 1830 1859 1872 1896 1952 1980 2013 2028 2054 2080 2145 2196 2197 2288 2340 2370 2379 2440 2528 2535 2574 2607 2640 2684 2704 2745 2844 2860 2928 3042 3081 3120 3160 3168 3172 3355 3380 3432 3476 3555 3660 3718 3744 3792 3960 3965 4026 4056 4108 4290 4345 4392 4394 4576 4680 4740 4758 4819 4880 5070 5135 5148 5214 5280 5368 5408 5490 5577 5688 5720 5856 6039 6084 6162 6240 6241 6320 6344 6435 6591 6710 6760 6864 6952 7110 7137 7320 7436 7584 7605 7821 7920 7930 8052 8112 8216 8580 8690 8723 8784 8788 9243 9295 9360 9480 9516 9638 9760 10065 10140 10270 10296 10309 10428 10736 10980 10985 11154 11297 11376 11440 11895 12078 12168 12324 12482 12640 12688 12870 13035 13182 13351 13420 13520 13728 13904 14220 14274 14457 14640 14872 15210 15405 15642 15840 15860 16104 16224 16432 16731 17160 17380 17446 17568 17576 18486 18590 18720 18723 18960 19032 19276 19773 20130 20280 20540 20592 20618 20856 21472 21960 21970 22308 22594 22752 22880 23790 24095 24156 24167 24336 24648 24964 25376 25740 26070 26169 26364 26702 26840 27040 27808 27885 28440 28548 28914 29280 29744 30195 30420 30810 30927 31205 31284 31720 32208 32864 32955 33462 33891 34320 34760 34892 35152 35685 36972 37180 37446 37920 38064 38552 39105 39546 40053 40260 40560 41080 41184 41236 41712 43371 43615 43920 43940 44616 45188 46215 47580 48190 48312 48334 48672 49296 49928 51480 51545 52140 52338 52728 53009 53404 53680 55770 56169 56485 56880 57096 57828 59488 60390 60840 61620 61854 62410 62568 62647 63440 64416 65910 66755 66924 67782 68640 68651 69520 69784 70304 71370 72285 72501 73944 74360 74892 76128 77104 78210 78507 79092 80106 80520 81120 81133 82160 82472 83424 83655 86742 87230 87840 87880 89232 90376 92430 92781 93615 95160 96380 96624 96668 98592 98865 99856 101673 102960 103090 104280 104676 105456 106018 106808 107360 111540 112338 112970 113399 113760 114192 115656 120159 120780 120835 121680 123240 123708 124820 125136 125294 126880 130845 131820 133510 133848 134017 135564 137302 139040 139568 142740 144570 145002 146861 147888 148720 149784 154208 154635 156420 157014 158184 159027 160212 161040 162266 164320 164944 167310 169455 173484 173563 174460 175760 178464 180752 184860 185562 187230 187941 190320 192760 193248 193336 197730 199712 200265 203346 205920 205953 206180 208560 209352 210912 212036 213616 216855 217503 223080 224676 225940 226798 228384 231312 240318 241560 241670 243360 243399 246480 247416 249640 250272 250588 261690 263640 265045 267020 267696 268034 271128 274604 279136 280845 285480 289140 290004 293722 295776 297440 299568 309270 312840 313235 314028 316368 318054 320424 322080 324532 329888 334620 338910 340197 343255 346968 347126 348920 351520 361504 362505 369720 371124 374460 375882 380640 380701 385520 386672 392535 395460 400530 402051 405665 406692 411906 412360 417120 418704 424072 427232 433710 435006 440583 446160 449352 451880 453596 462624 463905 477081 480636 483120 483340 486798 492960 494832 499280 501176 508365 520689 523380 527280 530090 534040 535392 536068 542256 549208 561690 563823 566995 570960 578280 580008 587444 599136 600795 617859 618540 625680 626470 628056 632736 636108 640848 649064 669240 670085 677820 680394 686510 689117 693936 694252 697840 725010 730197 734305 739440 742248 748920 751764 761402 771040 773344 785070 790920 795135 801060 804102 811330 813384 814411 823812 824720 837408 848144 867420 867815 870012 881166 892320 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6030303840 6033049880 6176493024 6369508431 6450135120 6532829160 6581508960 6691200776 6787181115 6987646380 7077231590 7126722720 7239659856 7527600873 7622886960 7720616280 7839394992 8353453680 8364000970 8385175656 8492677908 8710438880 9049574820 9200401067 9264739536 9316861840 9799243740 9872263440 10036801164 10294155040 10481469570 10615847385 10859489784 11180234208 11323570544 11580924420 12066099760 12546001455 12739016862 12900270240 13065658320 13382401552 13574362230 13975292760 14154463180 14479319712 15055201746 15245773920 15441232560 15678789984 16706907360 16728001940 16770351312 16985355816 18099149640 18400802134 18529479072 18633723680 19598487480 19744526880 20073602328 20962939140 21231694770 21718979568 22647141088 23161848840 24132199520 25092002910 25478033724 26131316640 26764803104 27148724460 27601203201 27950585520 28308926360 30110403492 30882465120 31847542155 33456003880 33540702624 33970711632 36198299280 36801604268 37638004365 39196974960 40147204656 41925878280 42463389540 43437959136 46002005335 46323697680 50184005820 50956067448 54297448920 55202406402 55901171040 56617852720 60220806984 63695084310 66912007760 67941423264 72396598560 73603208536 75276008730 78393949920 80294409312 82803609603 83851756560 84926779080 92004010670 92647395360 100368011640 101912134896 108594897840 110404812804 113235705440 120441613968 127390168620 133824015520 138006016005 147206417072 150552017460 165607219206 167703513120 169853558160 184008021340 200736023280 203824269792 217189795680 220809625608 240883227936 254780337240 276012032010 294412834144 301104034920 331214438412 339707116320 368016042680 401472046560 414018048015 441619251216 509560674480 552024064020 602208069840 662428876824 736032085360 828036096030 883238502432 1019121348960 1104048128040 1204416139680 1324857753648 1472064170720 1656072192060 2208096256080 2649715507296 3312144384120 4416192512160 6624288768240 13248577536480
- Sum of all divisors σ(n): 55001031583680
- Sum of proper divisors (its aliquot sum) s(n): 41752454047200
- 13248577536480 is an abundant number, because the sum of its proper divisors (41752454047200) is greater than itself. Its abundance is 28503876510720
Bases of 13248577536480
- Binary: 110000001100101011001100001000000001111000002
- Hexadecimal: 0xC0CACC201E0
- Base-36: 4P2B8ZW80
Squares and roots of 13248577536480
- 13248577536480 squared (132485775364802) is 175524806740122465730790400
- 13248577536480 cubed (132485775364803) is 2325454011672179796605138300515233792000
-
The
square root of 13248577536480 is 3639859.5490046041 -
The
cube root of 13248577536480 is 23662.2706350383
Scales and comparisons
How big is 13248577536480?- 13,248,577,536,480 seconds is equal to 421,263 years, 40 weeks, 5 days, 18 hours, 48 minutes.
-
To count from 1 to 13,248,577,536,480 would take you about one million, fifty-three thousand, one hundred fifty-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 13248577536480 cubic inches would be around 1971.9 feet tall.
Recreational maths with 13248577536480
- 13248577536480 backwards is 08463577584231
- The number of decimal digits it has is: 14
- The sum of 13248577536480's digits is 63
- More coming soon!
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MLA style:
"Number 13248577536480 - Facts about the integer". Numbermatics.com. 2024. Web. 24 June 2024.
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Numbermatics. (2024). Number 13248577536480 - Facts about the integer. Retrieved 24 June 2024, from https://numbermatics.com/n/13248577536480/
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The information we have on file for 13248577536480 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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