13209129948144000
13,209,129,948,144,000 is an even composite number composed of eight prime numbers multiplied together.
What does the number 13209129948144000 look like?
This visualization shows the relationship between its 8 prime factors (large circles) and 2048 divisors.
13209129948144000 is an even composite number. It is composed of eight distinct prime numbers multiplied together. It has a total of two thousand and forty-eight divisors.
Prime factorization of 13209129948144000:
27 × 3 × 53 × 13 × 37 × 61 × 1093 × 8581
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 5 × 13 × 37 × 61 × 1093 × 8581)See below for interesting mathematical facts about the number 13209129948144000 from the Numbermatics database.
Names of 13209129948144000
- Cardinal: 13209129948144000 can be written as Thirteen quadrillion, two hundred nine trillion, one hundred twenty-nine billion, nine hundred forty-eight million, one hundred forty-four thousand.
Scientific notation
- Scientific notation: 1.3209129948144 × 1016
Factors of 13209129948144000
Divisors of 13209129948144000
- Number of divisors d(n): 2048
-
Complete list of divisors:
1 2 3 4 5 6 8 10 12 13 15 16 20 24 25 26 30 32 37 39 40 48 50 52 60 61 64 65 74 75 78 80 96 100 104 111 120 122 125 128 130 148 150 156 160 183 185 192 195 200 208 222 240 244 250 260 296 300 305 312 320 325 366 370 375 384 390 400 416 444 480 481 488 500 520 555 592 600 610 624 640 650 732 740 750 780 793 800 832 888 915 925 960 962 975 976 1000 1040 1093 1110 1184 1200 1220 1248 1300 1443 1464 1480 1500 1525 1560 1586 1600 1625 1664 1776 1830 1850 1920 1924 1950 1952 2000 2080 2186 2220 2257 2368 2379 2400 2405 2440 2496 2600 2775 2886 2928 2960 3000 3050 3120 3172 3200 3250 3279 3552 3660 3700 3848 3900 3904 3965 4000 4160 4372 4440 4514 4575 4625 4736 4758 4800 4810 4875 4880 4992 5200 5465 5550 5772 5856 5920 6000 6100 6240 6344 6500 6558 6771 7104 7215 7320 7400 7625 7696 7800 7808 7930 8000 8320 8581 8744 8880 9028 9150 9250 9516 9600 9620 9750 9760 10400 10930 11100 11285 11544 11712 11840 11895 12000 12025 12200 12480 12688 13000 13116 13542 13875 14208 14209 14430 14640 14800 15250 15392 15600 15860 16000 16395 17162 17488 17760 18056 18300 18500 19032 19240 19500 19520 19825 20800 21860 22200 22570 22875 23088 23424 23680 23790 24000 24050 24400 24960 25376 25743 26000 26232 27084 27325 27750 28418 28860 29280 29341 29600 30500 30784 31200 31720 32790 33855 34324 34976 35520 36075 36112 36600 37000 38064 38480 39000 39040 39650 40441 41600 42627 42905 43720 44400 45140 45750 46176 47580 48000 48100 48800 50752 51486 52000 52464 54168 54650 55500 56425 56836 57720 58560 58682 59200 59475 60125 61000 61568 62400 63440 65580 66673 67710 68648 69952 71040 71045 72150 72224 73200 74000 76128 76960 78000 79300 80882 81975 85254 85810 87440 88023 88800 90280 91500 92352 95160 96200 97600 99125 101504 102972 104000 104928 108336 109300 111000 111553 112850 113672 115440 117120 117364 118400 118950 120250 121323 122000 124800 126880 128715 131160 133346 135420 136625 137296 139904 142090 144300 144448 146400 146705 148000 152256 153920 156000 158600 161764 163950 169275 170508 171620 174880 176046 177600 180375 180560 183000 184704 190320 192400 195200 198250 200019 202205 205944 208000 209856 213135 214525 216672 218600 222000 223106 225700 227344 230880 234728 237900 240500 242646 244000 253760 257430 262320 266692 270840 273250 274592 282125 284180 288600 288896 292800 293410 296000 297375 304512 307840 312000 317200 317497 323528 327900 333365 334659 338550 341016 343240 349760 352092 355200 355225 360750 361120 366000 380640 384800 396500 400038 404410 409875 411888 419712 426270 429050 433344 437200 440115 444000 446212 451400 454688 461760 469456 475800 481000 485292 488000 507520 514860 523441 524640 525733 533384 541680 546500 549184 557765 564250 568360 577200 585600 586820 592000 594750 606615 624000 634400 634994 643575 647056 655800 666730 669318 677100 682032 686480 699520 704184 710450 721500 722240 732000 733525 761280 769600 793000 800076 808820 819750 823776 846375 852540 858100 866688 866749 874400 880230 888000 892424 902800 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555238753600 557817987675 563914359125 572121013000 577448303744 585251659200 595005853520 604260290400 635054324430 666286504320 676697230950 677391279392 686545215600 694048442000 714007024224 721810379680 731564574000 743757316900 755325363000 769673112000 805680387200 825570621759 832858130400 846739099240 858181519500 866172455616 892508780280 902262974600 915393620800 929631216000 929696646125 952009365632 975419432000 1007100484000 1016086919088 1041072663000 1058423874050 1082715569520 1098472344960 1100760829012 1110477507200 1115635975350 1127828718250 1144242026000 1170503318400 1190011707040 1208520580800 1270108648860 1353394461900 1354782558784 1373090431200 1375951036265 1388096884000 1428014048448 1443620759360 1463129148000 1487514633800 1510650726000 1539346224000 1587635811075 1651141243518 1665716260800 1691743077375 1693478198480 1716363039000 1732344911232 1785017560560 1804525949200 1830787241600 1859393292250 1950838864000 2014200968000 2032173838176 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10160869190880 10584238740500 10827155695200 11007608290120 11156359753500 11900117070400 12085205808000 12701086488600 13209129948144 13533944619000 13547825587840 13730904312000 13759510362650 14280140484480 14436207593600 14875146338000 15876358110750 16511412435180 16657162608000 16934781984800 17612173264192 17850175605600 18045259492000 20321738381760 20639265543975 21168477481000 21654311390400 22015216580240 22312719507000 23800234140800 25402172977200 26418259896288 27067889238000 27461808624000 27519020725300 29750292676000 31752716221500 33022824870360 33869563969600 34398775906625 35224346528384 35700351211200 36090518984000 40643476763520 41278531087950 42336954962000 43308622780800 44030433160480 44625439014000 50804345954400 52836519792576 54135778476000 55038041450600 59500585352000 63505432443000 66045649740720 67739127939200 68797551813250 71400702422400 72181037968000 82557062175900 84673909924000 88060866320960 89250878028000 101608691908800 103196327719875 105673039585152 108271556952000 110076082901200 119001170704000 127010864886000 132091299481440 137595103626500 165114124351800 169347819848000 176121732641920 178501756056000 203217383817600 206392655439750 216543113904000 220152165802400 254021729772000 264182598962880 275190207253000 330228248703600 338695639696000 357003512112000 412785310879500 440304331604800 508043459544000 528365197925760 550380414506000 660456497407200 825570621759000 880608663209600 1016086919088000 1100760829012000 1320912994814400 1651141243518000 2201521658024000 2641825989628800 3302282487036000 4403043316048000 6604564974072000 13209129948144000
- Sum of all divisors σ(n): 49275827260208640
- Sum of proper divisors (its aliquot sum) s(n): 36066697312064640
- 13209129948144000 is an abundant number, because the sum of its proper divisors (36066697312064640) is greater than itself. Its abundance is 22857567363920640
Bases of 13209129948144000
- Binary: 1011101110110110100010001110100101100111100001100000002
- Hexadecimal: 0x2EEDA23A59E180
- Base-36: 3M28UIXHV9C
Squares and roots of 13209129948144000
- 13209129948144000 squared (132091299481440002) is 174481113986954712129044736000000
- 13209129948144000 cubed (132091299481440003) is 2304743708150610449717605141475936169984000000000
-
The
square root of 13209129948144000 is 114930979.0619744089 -
The
cube root of 13209129948144000 is 236387.6251472139
Scales and comparisons
How big is 13209129948144000?- 13,209,129,948,144,000 seconds is equal to 420,009,473 years, 43 weeks, 21 hours, 20 minutes.
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To count from 1 to 13,209,129,948,144,000 would take you about one billion, two hundred sixty million, twenty-eight thousand, four hundred twenty-one 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 13209129948144000 cubic inches would be around 19699 feet tall.
Recreational maths with 13209129948144000
- 13209129948144000 backwards is 00044184992190231
- The number of decimal digits it has is: 17
- The sum of 13209129948144000's digits is 57
- More coming soon!
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The information we have on file for 13209129948144000 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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