13007284994720160
13,007,284,994,720,160 is an even composite number composed of six prime numbers multiplied together.
What does the number 13007284994720160 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 288 divisors.
13007284994720160 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two hundred eighty-eight divisors.
Prime factorization of 13007284994720160:
25 × 32 × 5 × 31 × 41 × 7106873959
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 31 × 41 × 7106873959)See below for interesting mathematical facts about the number 13007284994720160 from the Numbermatics database.
Names of 13007284994720160
- Cardinal: 13007284994720160 can be written as Thirteen quadrillion, seven trillion, two hundred eighty-four billion, nine hundred ninety-four million, seven hundred twenty thousand, one hundred sixty.
Scientific notation
- Scientific notation: 1.300728499472016 × 1016
Factors of 13007284994720160
- Number of distinct prime factors ω(n): 6
- Total number of prime factors Ω(n): 11
- Sum of prime factors: 7106874041
Divisors of 13007284994720160
- Number of divisors d(n): 288
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Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 31 32 36 40 41 45 48 60 62 72 80 82 90 93 96 120 123 124 144 155 160 164 180 186 205 240 246 248 279 288 310 328 360 369 372 410 465 480 492 496 558 615 620 656 720 738 744 820 930 984 992 1116 1230 1240 1271 1312 1395 1440 1476 1488 1640 1845 1860 1968 2232 2460 2480 2542 2790 2952 2976 3280 3690 3720 3813 3936 4464 4920 4960 5084 5580 5904 6355 6560 7380 7440 7626 8928 9840 10168 11160 11439 11808 12710 14760 14880 15252 19065 19680 20336 22320 22878 25420 29520 30504 38130 40672 44640 45756 50840 57195 59040 61008 76260 91512 101680 114390 122016 152520 183024 203360 228780 305040 366048 457560 610080 915120 1830240 7106873959 14213747918 21320621877 28427495836 35534369795 42641243754 56854991672 63961865631 71068739590 85282487508 106603109385 113709983344 127923731262 142137479180 170564975016 213206218770 220313092729 227419966688 255847462524 284274958360 291381832319 319809328155 341129950032 426412437540 440626185458 511694925048 568549916720 582763664638 639618656310 660939278187 682259900064 852824875080 874145496957 881252370916 1023389850096 1101565463645 1137099833440 1165527329276 1279237312620 1321878556374 1456909161595 1705649750160 1748290993914 1762504741832 1982817834561 2046779700192 2203130927290 2331054658552 2558474625240 2622436490871 2643757112748 2913818323190 3304696390935 3411299500320 3496581987828 3525009483664 3965635669122 4370727484785 4406261854580 4662109317104 5116949250480 5244872981742 5287514225496 5827636646380 6609392781870 6993163975656 7050018967328 7931271338244 8741454969570 8812523709160 9032836801889 9324218634208 9914089172805 10233898500960 10489745963484 10575028450992 11655273292760 13112182454355 13218785563740 13986327951312 15862542676488 17482909939140 17625047418320 18065673603778 19828178345610 20979491926968 21150056901984 23310546585520 26224364908710 26437571127480 27098510405667 27972655902624 31725085352976 34965819878280 35250094836640 36131347207556 39656356691220 41958983853936 45164184009445 46621093171040 52448729817420 52875142254960 54197020811334 63450170705952 69931639756560 72262694415112 79312713382440 81295531217001 83917967707872 90328368018890 104897459634840 105750284509920 108394041622668 135492552028335 139863279513120 144525388830224 158625426764880 162591062434002 180656736037780 209794919269680 216788083245336 270985104056670 289050777660448 317250853529760 325182124868004 361313472075560 406477656085005 419589838539360 433576166490672 541970208113340 650364249736008 722626944151120 812955312170010 867152332981344 1083940416226680 1300728499472016 1445253888302240 1625910624340020 2167880832453360 2601456998944032 3251821248680040 4335761664906720 6503642497360080 13007284994720160
- Sum of all divisors σ(n): 46936752091407360
- Sum of proper divisors (its aliquot sum) s(n): 33929467096687200
- 13007284994720160 is an abundant number, because the sum of its proper divisors (33929467096687200) is greater than itself. Its abundance is 20922182101967040
Bases of 13007284994720160
- Binary: 1011100011011000001110100010011001101001000001101000002
- Hexadecimal: 0x2E360E899A41A0
- Base-36: 3K2P48FPK80
Squares and roots of 13007284994720160
- 13007284994720160 squared (130072849947201602) is 169189462933872232759076710425600
- 13007284994720160 cubed (130072849947201603) is 2200695562484518991106871139957566917226500096000
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The
square root of 13007284994720160 is 114049484.8507443281 -
The
cube root of 13007284994720160 is 235177.3822646091
Scales and comparisons
How big is 13007284994720160?- 13,007,284,994,720,160 seconds is equal to 413,591,428 years, 34 weeks, 1 day, 11 hours, 36 minutes.
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To count from 1 to 13,007,284,994,720,160 would take you about one billion, two hundred forty million, seven hundred seventy-four thousand, two hundred eighty-five 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 13007284994720160 cubic inches would be around 19598.1 feet tall.
Recreational maths with 13007284994720160
- 13007284994720160 backwards is 06102749948270031
- The number of decimal digits it has is: 17
- The sum of 13007284994720160's digits is 63
- More coming soon!
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