13589847984913920
13,589,847,984,913,920 is an even composite number composed of five prime numbers multiplied together.
What does the number 13589847984913920 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 1440 divisors.
13589847984913920 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one thousand, four hundred forty divisors.
Prime factorization of 13589847984913920:
29 × 35 × 5 × 413 × 5632
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 5 × 41 × 41 × 41 × 563 × 563)See below for interesting mathematical facts about the number 13589847984913920 from the Numbermatics database.
Names of 13589847984913920
- Cardinal: 13589847984913920 can be written as Thirteen quadrillion, five hundred eighty-nine trillion, eight hundred forty-seven billion, nine hundred eighty-four million, nine hundred thirteen thousand, nine hundred twenty.
Scientific notation
- Scientific notation: 1.358984798491392 × 1016
Factors of 13589847984913920
Divisors of 13589847984913920
- Number of divisors d(n): 1440
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 41 45 48 54 60 64 72 80 81 82 90 96 108 120 123 128 135 144 160 162 164 180 192 205 216 240 243 246 256 270 288 320 324 328 360 369 384 405 410 432 480 486 492 512 540 563 576 615 640 648 656 720 738 768 810 820 864 960 972 984 1080 1107 1126 1152 1215 1230 1280 1296 1312 1440 1476 1536 1620 1640 1681 1689 1728 1845 1920 1944 1968 2160 2214 2252 2304 2430 2460 2560 2592 2624 2815 2880 2952 3240 3280 3321 3362 3378 3456 3690 3840 3888 3936 4320 4428 4504 4608 4860 4920 5043 5067 5184 5248 5535 5630 5760 5904 6480 6560 6642 6724 6756 6912 7380 7680 7776 7872 8405 8445 8640 8856 9008 9720 9840 9963 10086 10134 10368 10496 11070 11260 11520 11808 12960 13120 13284 13448 13512 13824 14760 15129 15201 15552 15744 16605 16810 16890 17280 17712 18016 19440 19680 19926 20172 20268 20736 20992 22140 22520 23040 23083 23616 25215 25335 25920 26240 26568 26896 27024 29520 30258 30402 31104 31488 33210 33620 33780 34560 35424 36032 38880 39360 39852 40344 40536 41472 44280 45040 45387 45603 46166 47232 49815 50430 50670 51840 52480 53136 53792 54048 59040 60516 60804 62208 62976 66420 67240 67560 68921 69120 69249 70848 72064 75645 76005 77760 78720 79704 80688 81072 88560 90080 90774 91206 92332 94464 99630 100860 101340 103680 104960 106272 107584 108096 115415 118080 121032 121608 124416 132840 134480 135120 136161 136809 137842 138498 141696 144128 151290 152010 155520 157440 159408 161376 162144 177120 180160 181548 182412 184664 188928 199260 201720 202680 206763 207360 207747 212544 215168 216192 226935 228015 230830 236160 242064 243216 265680 268960 270240 272322 273618 275684 276996 283392 288256 302580 304020 311040 314880 316969 318816 322752 324288 344605 346245 354240 360320 363096 364824 369328 398520 403440 405360 408483 413526 415494 425088 430336 432384 453870 456030 461660 472320 484128 486432 531360 537920 540480 544644 547236 551368 553992 566784 605160 608040 620289 622080 623241 633938 637632 645504 648576 680805 684045 689210 692490 708480 720640 726192 729648 738656 797040 806880 810720 816966 827052 830988 850176 860672 864768 907740 912060 923320 944640 946403 950907 968256 972864 1033815 1038735 1062720 1075840 1080960 1089288 1094472 1102736 1107984 1210320 1216080 1240578 1246482 1267876 1275264 1291008 1297152 1361610 1368090 1378420 1384980 1416960 1441280 1452384 1459296 1477312 1584845 1594080 1613760 1621440 1633932 1654104 1661976 1700352 1815480 1824120 1846640 1860867 1869723 1892806 1901814 1936512 1945728 2042415 2067630 2077470 2125440 2151680 2161920 2178576 2188944 2205472 2215968 2420640 2432160 2481156 2492964 2535752 2550528 2582016 2594304 2723220 2736180 2756840 2769960 2833920 2839209 2852721 2904768 2918592 2954624 3101445 3116205 3169690 3188160 3227520 3242880 3267864 3308208 3323952 3630960 3648240 3693280 3721734 3739446 3785612 3803628 3873024 3891456 4084830 4135260 4154940 4250880 4303360 4323840 4357152 4377888 4410944 4431936 4732015 4754535 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4023045584640 4042191548160 4092095147520 4143246336864 4194397526208 4603607040960 4718697216984 4827654701568 5179057921080 5242996907760 5308534369107 5524328449152 5592530034944 5898371521230 6034568376960 6138142721280 6291596289312 6905410561440 6990662543680 7078045825476 7365771265536 7864495361640 8046091169280 8084383096320 8286492673728 8388795052416 8847557281845 9207214081920 9437394433968 10358115842160 10485993815520 10617068738214 11048656898304 11185060069888 11796743042460 12069136753920 12276285442560 12583192578624 13810821122880 13981325087360 14156091650952 15728990723280 16572985347456 16777590104832 17695114563690 18414428163840 18874788867936 20716231684320 20971987631040 21234137476428 22097313796608 23593486084920 24138273507840 25166385157248 26542671845535 27621642245760 27962650174720 28312183301904 31457981446560 33145970694912 33555180209664 35390229127380 36828856327680 37749577735872 41432463368640 41943975262080 42468274952856 47186972169840 50332770314496 53085343691070 55243284491520 55925300349440 56624366603808 62915962893120 66291941389824 70780458254760 75499155471744 82864926737280 83887950524160 84936549905712 94373944339680 100665540628992 106170687382140 110486568983040 113248733207616 125831925786240 141560916509520 150998310943488 165729853474560 167775901048320 169873099811424 188747888679360 212341374764280 226497466415232 251663851572480 283121833019040 301996621886976 331459706949120 339746199622848 377495777358720 424682749528560 452994932830464 503327703144960 566243666038080 679492399245696 754991554717440 849365499057120 905989865660928 1132487332076160 1358984798491392 1509983109434880 1698730998114240 2264974664152320 2717969596982784 3397461996228480 4529949328304640 6794923992456960 13589847984913920
- Sum of all divisors σ(n): 50117848174858464
- Sum of proper divisors (its aliquot sum) s(n): 36528000189944544
- 13589847984913920 is an abundant number, because the sum of its proper divisors (36528000189944544) is greater than itself. Its abundance is 22938152205030624
Bases of 13589847984913920
- Binary: 1100000100011111100101000011011011000100111110000000002
- Hexadecimal: 0x3047E50DB13E00
- Base-36: 3PT75Z6QO00
Squares and roots of 13589847984913920
- 13589847984913920 squared (135898479849139202) is 184683968253068931995909809766400
- 13589847984913920 cubed (135898479849139203) is 2509827053809875199563492782829436444279308288000
-
The
square root of 13589847984913920 is 116575503.3654752013 -
The
cube root of 13589847984913920 is 238637.2301725497
Scales and comparisons
How big is 13589847984913920?- 13,589,847,984,913,920 seconds is equal to 432,115,129 years, 39 weeks, 3 days, 19 hours, 12 minutes.
-
To count from 1 to 13,589,847,984,913,920 would take you about one billion, two hundred ninety-six million, three hundred forty-five thousand, three hundred eighty-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 13589847984913920 cubic inches would be around 19886.4 feet tall.
Recreational maths with 13589847984913920
- 13589847984913920 backwards is 02931948974898531
- 13589847984913920 is a
Harshad number . - The number of decimal digits it has is: 17
- The sum of 13589847984913920's digits is 90
- More coming soon!
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"Number 13589847984913920 - Facts about the integer". Numbermatics.com. 2024. Web. 23 September 2024.
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Numbermatics. (2024). Number 13589847984913920 - Facts about the integer. Retrieved 23 September 2024, from https://numbermatics.com/n/13589847984913920/
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The information we have on file for 13589847984913920 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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