13998378816000
13,998,378,816,000 is an even composite number composed of five prime numbers multiplied together.
What does the number 13998378816000 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 480 divisors.
13998378816000 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of four hundred eighty divisors.
Prime factorization of 13998378816000:
29 × 32 × 53 × 17 × 1429573
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 5 × 17 × 1429573)See below for interesting mathematical facts about the number 13998378816000 from the Numbermatics database.
Names of 13998378816000
- Cardinal: 13998378816000 can be written as Thirteen trillion, nine hundred ninety-eight billion, three hundred seventy-eight million, eight hundred sixteen thousand.
Scientific notation
- Scientific notation: 1.3998378816 × 1013
Factors of 13998378816000
Divisors of 13998378816000
- Number of divisors d(n): 480
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 17 18 20 24 25 30 32 34 36 40 45 48 50 51 60 64 68 72 75 80 85 90 96 100 102 120 125 128 136 144 150 153 160 170 180 192 200 204 225 240 250 255 256 272 288 300 306 320 340 360 375 384 400 408 425 450 480 500 510 512 544 576 600 612 640 680 720 750 765 768 800 816 850 900 960 1000 1020 1088 1125 1152 1200 1224 1275 1280 1360 1440 1500 1530 1536 1600 1632 1700 1800 1920 2000 2040 2125 2176 2250 2304 2400 2448 2550 2560 2720 2880 3000 3060 3200 3264 3400 3600 3825 3840 4000 4080 4250 4352 4500 4608 4800 4896 5100 5440 5760 6000 6120 6375 6400 6528 6800 7200 7650 7680 8000 8160 8500 8704 9000 9600 9792 10200 10880 11520 12000 12240 12750 12800 13056 13600 14400 15300 16000 16320 17000 18000 19125 19200 19584 20400 21760 23040 24000 24480 25500 26112 27200 28800 30600 32000 32640 34000 36000 38250 38400 39168 40800 43520 48000 48960 51000 54400 57600 61200 64000 65280 68000 72000 76500 78336 81600 96000 97920 102000 108800 115200 122400 130560 136000 144000 153000 163200 192000 195840 204000 217600 244800 272000 288000 306000 326400 391680 408000 489600 544000 576000 612000 652800 816000 979200 1088000 1224000 1429573 1632000 1958400 2448000 2859146 3264000 4288719 4896000 5718292 7147865 8577438 9792000 11436584 12866157 14295730 17154876 21443595 22873168 24302741 25732314 28591460 34309752 35739325 42887190 45746336 48605482 51464628 57182920 64330785 68619504 71478650 72908223 85774380 91492672 97210964 102929256 107217975 114365840 121513705 128661570 137239008 142957300 145816446 171548760 178696625 182985344 194421928 205858512 214435950 218724669 228731680 243027410 257323140 274478016 285914600 291632892 321653925 343097520 357393250 364541115 365970688 388843856 411717024 428871900 437449338 457463360 486054820 514646280 536089875 548956032 571829200 583265784 607568525 643307850 686195040 714786500 729082230 731941376 777687712 823434048 857743800 874898676 914926720 972109640 1029292560 1072179750 1093623345 1097912064 1143658400 1166531568 1215137050 1286615700 1372390080 1429573000 1458164460 1555375424 1608269625 1646868096 1715487600 1749797352 1822705575 1829853440 1944219280 2058585120 2144359500 2187246690 2195824128 2287316800 2333063136 2430274100 2573231400 2744780160 2859146000 2916328920 3037842625 3110750848 3216539250 3293736192 3430975200 3499594704 3645411150 3659706880 3888438560 4117170240 4288719000 4374493380 4574633600 4666126272 4860548200 5146462800 5468116725 5489560320 5718292000 5832657840 6075685250 6221501696 6433078500 6587472384 6861950400 6999189408 7290822300 7776877120 8234340480 8577438000 8748986760 9113527875 9149267200 9332252544 9721096400 10292925600 10936233450 10979120640 11436584000 11665315680 12151370500 12443003392 12866157000 13723900800 13998378816 14581644600 15553754240 16468680960 17154876000 17497973520 18227055750 18298534400 18664505088 19442192800 20585851200 21872466900 22873168000 23330631360 24302741000 25732314000 27340583625 27447801600 27996757632 29163289200 31107508480 32937361920 34309752000 34995947040 36454111500 37329010176 38884385600 41171702400 43744933800 45746336000 46661262720 48605482000 51464628000 54681167250 54895603200 55993515264 58326578400 62215016960 68619504000 69991894080 72908223000 77768771200 82343404800 87489867600 91492672000 93322525440 97210964000 102929256000 109362334500 111987030528 116653156800 137239008000 139983788160 145816446000 155537542400 164686809600 174979735200 186645050880 194421928000 205858512000 218724669000 233306313600 274478016000 279967576320 291632892000 311075084800 349959470400 388843856000 411717024000 437449338000 466612627200 559935152640 583265784000 699918940800 777687712000 823434048000 874898676000 933225254400 1166531568000 1399837881600 1555375424000 1749797352000 2333063136000 2799675763200 3499594704000 4666126272000 6999189408000 13998378816000
- Sum of all divisors σ(n): 53385428189808
- Sum of proper divisors (its aliquot sum) s(n): 39387049373808
- 13998378816000 is an abundant number, because the sum of its proper divisors (39387049373808) is greater than itself. Its abundance is 25388670557808
Bases of 13998378816000
- Binary: 110010111011010000000110010110010010000000002
- Hexadecimal: 0xCBB40659200
- Base-36: 4YMRLBI80
Squares and roots of 13998378816000
- 13998378816000 squared (139983788160002) is 195954609476237561856000000
- 13998378816000 cubed (139983788160003) is 2743046854189716741268520042496000000000
-
The
square root of 13998378816000 is 3741440.7406773129 -
The
cube root of 13998378816000 is 24100.4923001083
Scales and comparisons
How big is 13998378816000?- 13,998,378,816,000 seconds is equal to 445,105 years, 7 weeks, 4 days, 8 hours.
-
To count from 1 to 13,998,378,816,000 would take you about one million, one hundred twelve thousand, seven hundred sixty-two 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 13998378816000 cubic inches would be around 2008.4 feet tall.
Recreational maths with 13998378816000
- 13998378816000 backwards is 00061887389931
- The number of decimal digits it has is: 14
- The sum of 13998378816000's digits is 63
- More coming soon!
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