13985152896000
13,985,152,896,000 is an even composite number composed of six prime numbers multiplied together.
What does the number 13985152896000 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 2112 divisors.
13985152896000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two thousand, one hundred twelve divisors.
Prime factorization of 13985152896000:
210 × 3 × 53 × 112 × 133 × 137
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 5 × 11 × 11 × 13 × 13 × 13 × 137)See below for interesting mathematical facts about the number 13985152896000 from the Numbermatics database.
Names of 13985152896000
- Cardinal: 13985152896000 can be written as Thirteen trillion, nine hundred eighty-five billion, one hundred fifty-two million, eight hundred ninety-six thousand.
Scientific notation
- Scientific notation: 1.3985152896 × 1013
Factors of 13985152896000
Divisors of 13985152896000
- Number of divisors d(n): 2112
-
Complete list of divisors:
1 2 3 4 5 6 8 10 11 12 13 15 16 20 22 24 25 26 30 32 33 39 40 44 48 50 52 55 60 64 65 66 75 78 80 88 96 100 104 110 120 121 125 128 130 132 137 143 150 156 160 165 169 176 192 195 200 208 220 240 242 250 256 260 264 274 275 286 300 312 320 325 330 338 352 363 375 384 390 400 411 416 429 440 480 484 500 507 512 520 528 548 550 572 600 605 624 640 650 660 676 685 704 715 726 750 768 780 800 822 825 832 845 858 880 960 968 975 1000 1014 1024 1040 1056 1096 1100 1144 1200 1210 1248 1280 1300 1320 1352 1370 1375 1408 1430 1452 1500 1507 1536 1560 1573 1600 1625 1644 1650 1664 1690 1716 1760 1781 1815 1859 1920 1936 1950 2000 2028 2055 2080 2112 2145 2192 2197 2200 2288 2400 2420 2496 2535 2560 2600 2640 2704 2740 2750 2816 2860 2904 3000 3014 3025 3072 3120 3146 3200 3250 3288 3300 3328 3380 3425 3432 3520 3562 3575 3630 3718 3840 3872 3900 4000 4056 4110 4125 4160 4224 4225 4290 4384 4394 4400 4521 4576 4719 4800 4840 4875 4992 5070 5120 5200 5280 5343 5408 5480 5500 5577 5632 5720 5808 6000 6028 6050 6240 6292 6400 6500 6576 6591 6600 6656 6760 6850 6864 7040 7124 7150 7260 7436 7535 7680 7744 7800 7865 8000 8112 8220 8250 8320 8448 8450 8580 8768 8788 8800 8905 9042 9075 9152 9295 9438 9600 9680 9750 9984 10140 10275 10400 10560 10686 10725 10816 10960 10985 11000 11154 11264 11440 11616 12000 12056 12100 12480 12584 12675 12800 13000 13152 13182 13200 13312 13520 13700 13728 14080 14248 14300 14520 14872 15070 15125 15360 15488 15600 15730 16000 16224 16440 16500 16577 16640 16896 16900 17125 17160 17536 17576 17600 17810 17875 18084 18150 18304 18590 18876 19200 19360 19500 19591 19968 20280 20449 20550 20800 21120 21125 21372 21450 21632 21920 21970 22000 22308 22605 22880 23153 23232 23595 24000 24112 24167 24200 24960 25168 25350 25600 26000 26304 26364 26400 26715 27040 27400 27456 27885 28160 28496 28600 29040 29744 30140 30250 30976 31200 31460 32000 32448 32880 32955 33000 33154 33280 33792 33800 34250 34320 35072 35152 35200 35620 35750 36168 36300 36608 37180 37675 37752 38400 38720 39000 39182 39325 39936 40560 40898 41100 41600 42240 42250 42744 42900 43264 43840 43940 44000 44525 44616 45210 45375 45760 46306 46464 46475 47190 48000 48224 48334 48400 49731 49920 50336 50700 51375 52000 52608 52728 52800 53430 53625 54080 54800 54912 54925 55770 56320 56992 57200 58080 58773 59488 60280 60500 61347 61952 62400 62920 63375 64000 64896 65760 65910 66000 66308 66560 67600 68500 68640 69459 70144 70304 70400 71240 71500 72336 72501 72600 73216 74360 75350 75504 76800 77440 78000 78364 78650 81120 81796 82200 82885 83200 84480 84500 85488 85800 86528 87680 87880 88000 89050 89232 90420 90750 91520 92612 92928 92950 94380 96000 96448 96668 96800 97955 99462 99840 100672 101400 102245 102750 104000 105216 105456 105600 106860 107250 108160 109600 109824 109850 111540 113025 113984 114400 115765 116160 117546 117975 118976 120560 120835 121000 122694 123904 124800 125840 126750 128000 129792 131520 131820 132000 132616 133575 135200 137000 137280 138918 139425 140288 140608 140800 142480 143000 144672 145002 145200 146432 148720 150700 151008 154880 156000 156728 157300 162240 163592 164400 164775 165770 166400 168960 169000 170976 171600 173056 175360 175760 176000 178100 178464 180840 181500 183040 185224 185856 185900 188375 188760 192000 192896 193336 193600 195910 196625 198924 199680 201344 202800 204490 205500 208000 210432 210912 211200 213720 214500 215501 216320 219200 219648 219700 222625 223080 226050 227968 228800 231530 232320 232375 235092 235950 237952 241120 241670 242000 245388 248655 249600 251680 253500 254683 259584 263040 263640 264000 265232 265837 267150 270400 274000 274560 274625 277836 278850 281216 281600 284960 286000 289344 290004 290400 293865 297440 300989 301400 302016 306735 309760 312000 313456 314600 324480 327184 328800 329550 331540 332800 338000 341952 343200 347295 350720 351520 352000 356200 356928 361680 362505 363000 366080 370448 371712 371800 376750 377520 384000 385792 386672 387200 391820 393250 397848 402688 405600 408980 411000 414425 416000 420864 421824 422400 427440 429000 431002 432640 438400 439296 439400 445250 446160 452100 455936 457600 463060 464640 464750 470184 471900 475904 482240 483340 484000 489775 490776 497310 499200 503360 507000 509366 511225 519168 526080 527280 528000 530464 531674 534300 540800 548000 549120 549250 555672 557700 562432 565125 569920 572000 578688 578825 580008 580800 587730 589875 594880 601978 602800 604032 604175 613470 619520 624000 626912 629200 646503 648960 654368 657600 659100 663080 667875 676000 683904 686400 694590 697125 701440 703040 704000 712400 713856 723360 725010 726000 732160 740896 743600 753500 755040 764049 771584 773344 774400 783640 786500 795696 797511 805376 811200 817960 822000 823875 828850 832000 843648 844800 854880 858000 862004 865280 876800 878800 890500 892320 902967 904200 911872 915200 926120 929280 929500 940368 943800 951808 964480 966680 968000 979550 981552 994620 998400 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1655439500 1680907800 1695170048 1701356800 1724008000 1748144112 1778150400 1792968320 1805934000 1820983450 1856025600 1880736000 1926329600 1955965440 1963104000 1986527400 2037464000 2041628160 2068809600 2101134750 2118962560 2121856000 2126696000 2151561984 2185180140 2222688000 2241210400 2311595520 2320032000 2330858816 2407912000 2444956800 2483159250 2507648000 2542755072 2552035200 2586012000 2617472000 2648703200 2689452480 2731475175 2758412800 2801513000 2868749312 2889494400 2913573520 2963584000 3056196000 3093376000 3178443840 3182784000 3190044000 3259942400 3310095360 3310879000 3361815600 3390340096 3402713600 3448016000 3496288224 3585936640 3611868000 3641966900 3761472000 3852659200 3911930880 3926208000 3973054800 4074928000 4083256320 4137619200 4202269500 4237925120 4253392000 4303123968 4370360280 4445376000 4482420800 4552458625 4623191040 4640064000 4661717632 4815824000 4889913600 4966318500 5085510144 5104070400 5172024000 5297406400 5378904960 5462950350 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29135735200 31784438400 32599424000 33618156000 34027136000 34962882240 35859366400 36419669000 37293741056 38526592000 39730548000 41376192000 42379251200 43031239680 43703602800 44824208000 46617176320 48899136000 50855101440 51040704000 52974064000 53789049600 54629503500 55940611584 57789888000 58271470400 63568876800 67236312000 69925764480 71718732800 72839338000 79461096000 82752384000 84758502400 87407205600 89648416000 93234352640 97798272000 102081408000 105948128000 107578099200 109259007000 111881223168 115579776000 116542940800 127137753600 134472624000 139851528960 145678676000 158922192000 174814411200 179296832000 186468705280 211896256000 215156198400 218518014000 233085881600 254275507200 268945248000 279703057920 291357352000 317844384000 349628822400 358593664000 423792512000 437036028000 466171763200 537890496000 559406115840 582714704000 635688768000 699257644800 874072056000 932343526400 1075780992000 1165429408000 1271377536000 1398515289600 1748144112000 2330858816000 2797030579200 3496288224000 4661717632000 6992576448000 13985152896000
- Sum of all divisors σ(n): 55796905906560
- Sum of proper divisors (its aliquot sum) s(n): 41811753010560
- 13985152896000 is an abundant number, because the sum of its proper divisors (41811753010560) is greater than itself. Its abundance is 27826600114560
Bases of 13985152896000
- Binary: 110010111000001011000001001000001100000000002
- Hexadecimal: 0xCB82C120C00
- Base-36: 4YGOUY51C
Squares and roots of 13985152896000
- 13985152896000 squared (139851528960002) is 195584501524497186816000000
- 13985152896000 cubed (139851528960003) is 2735279157908038247143635419136000000000
-
The
square root of 13985152896000 is 3739672.8327488757 -
The
cube root of 13985152896000 is 24092.8997155829
Scales and comparisons
How big is 13985152896000?- 13,985,152,896,000 seconds is equal to 444,684 years, 31 weeks, 2 days, 13 hours, 20 minutes.
-
To count from 1 to 13,985,152,896,000 would take you about one million, one hundred eleven thousand, seven hundred eleven 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 13985152896000 cubic inches would be around 2007.7 feet tall.
Recreational maths with 13985152896000
- 13985152896000 backwards is 00069825158931
- The number of decimal digits it has is: 14
- The sum of 13985152896000's digits is 57
- More coming soon!
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Cite this page
MLA style:
"Number 13985152896000 - Facts about the integer". Numbermatics.com. 2024. Web. 19 June 2024.
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Numbermatics. (2024). Number 13985152896000 - Facts about the integer. Retrieved 19 June 2024, from https://numbermatics.com/n/13985152896000/
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The information we have on file for 13985152896000 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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