13680398156400
13,680,398,156,400 is an even composite number composed of six prime numbers multiplied together.
13680398156400 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand and eighty divisors.
Prime factorization of 13680398156400:
24 × 35 × 52 × 19 × 47 × 3972
(2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 5 × 5 × 19 × 47 × 397 × 397)See below for interesting mathematical facts about the number 13680398156400 from the Numbermatics database.
Names of 13680398156400
- Cardinal: 13680398156400 can be written as Thirteen trillion, six hundred eighty billion, three hundred ninety-eight million, one hundred fifty-six thousand, four hundred.
Scientific notation
- Scientific notation: 1.36803981564 × 1013
Factors of 13680398156400
Divisors of 13680398156400
- Number of divisors d(n): 1080
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 18 19 20 24 25 27 30 36 38 40 45 47 48 50 54 57 60 72 75 76 80 81 90 94 95 100 108 114 120 135 141 144 150 152 162 171 180 188 190 200 216 225 228 235 240 243 270 282 285 300 304 324 342 360 376 380 397 400 405 423 432 450 456 470 475 486 513 540 564 570 600 648 675 684 705 720 752 760 794 810 846 855 893 900 912 940 950 972 1026 1080 1128 1140 1175 1191 1200 1215 1269 1296 1350 1368 1410 1425 1520 1539 1588 1620 1692 1710 1786 1800 1880 1900 1944 1985 2025 2052 2115 2160 2256 2280 2350 2382 2430 2538 2565 2679 2700 2736 2820 2850 3078 3176 3240 3384 3420 3525 3572 3573 3600 3760 3800 3807 3888 3970 4050 4104 4230 4275 4465 4560 4617 4700 4764 4860 5076 5130 5358 5400 5640 5700 5955 6075 6156 6345 6352 6480 6768 6840 7050 7144 7146 7543 7600 7614 7695 7940 8037 8100 8208 8460 8550 8930 9234 9400 9528 9720 9925 10152 10260 10575 10716 10719 10800 11280 11400 11421 11910 12150 12312 12690 12825 13395 13680 14100 14288 14292 15086 15228 15390 15880 16074 16200 16920 17100 17860 17865 18468 18659 18800 19035 19056 19440 19850 20304 20520 21150 21432 21438 22325 22629 22800 22842 23085 23820 24111 24300 24624 25380 25650 26790 28200 28584 29775 30172 30456 30780 31725 31760 32148 32157 32400 33840 34200 35720 35730 36936 37318 37715 38070 38475 39700 40185 41040 42300 42864 42876 44650 45258 45684 46170 47640 48222 48600 50760 51300 53580 53595 55977 56400 57105 57168 59550 60344 60912 61560 63450 64296 64314 66975 67887 68400 71440 71460 72333 73872 74636 75430 76140 76950 79400 80370 84600 85752 89300 89325 90516 91368 92340 93295 95175 95280 96444 96471 97200 101520 102600 107160 107190 111954 113145 114210 115425 119100 120555 120688 123120 126900 128592 128628 133950 135774 142920 144666 149272 150860 152280 153900 157609 158800 160740 160785 167931 169200 171504 178600 178650 181032 182736 184680 186590 188575 190350 192888 192942 200925 203661 205200 214320 214380 216999 223908 226290 228420 230850 238200 241110 253800 257256 267900 267975 271548 279885 285525 285840 289332 298544 301720 304560 307800 315218 321480 321570 335862 339435 354521 357200 357300 361665 362064 369360 373180 377150 380700 385776 385884 401850 407322 428760 433998 447816 452580 456840 461700 466475 472827 476400 482220 482355 503793 507600 514512 535800 535950 543096 559770 565725 571050 578664 602775 603440 610983 615600 630436 642960 643140 671724 678870 709042 714600 723330 746360 754300 761400 771768 788045 803700 803925 814644 839655 857520 867996 895632 905160 913680 923400 932950 945654 964440 964710 1007586 1018305 1063563 1071600 1071900 1084995 1086192 1119540 1131450 1142100 1157328 1205550 1221966 1260872 1286280 1343448 1357740 1399425 1418084 1418481 1429200 1446660 1492720 1508600 1511379 1522800 1543536 1576090 1607400 1607850 1629288 1679310 1697175 1735992 1772605 1808325 1810320 1832949 1846800 1865900 1891308 1928880 1929420 2015172 2036610 2127126 2143800 2169990 2239080 2262900 2284200 2364135 2411100 2411775 2443932 2518965 2521744 2572560 2686896 2715480 2798850 2836168 2836962 2893320 2994571 3017200 3022758 3054915 3152180 3190689 3214800 3215700 3258576 3358620 3394350 3471984 3545210 3616650 3665898 3731800 3782616 3858840 3940225 4030344 4073220 4198275 4254252 4255443 4287600 4339980 4478160 4525800 4534137 4568400 4728270 4822200 4823550 4887864 5037930 5091525 5317815 5424975 5430960 5597700 5672336 5673924 5786640 5989142 6045516 6109830 6304360 6381378 6431400 6717240 6788700 7090420 7092405 7233300 7331796 7407623 7463600 7556895 7565232 7717680 7880450 8060688 8146440 8396550 8508504 8510886 8679960 8863025 8983713 9051600 9068274 9164745 9456540 9572067 9644400 9647100 9775728 10075860 10183050 10635630 10849950 11195400 11347848 11820675 11978284 12091032 12219660 12594825 12608720 12762756 12766329 12862800 13434480 13577400 14180840 14184810 14466600 14663592 14815246 14972855 15113790 15274575 15760900 15953445 16292880 16793100 17017008 17021772 17359920 17726050 17967426 18136548 18329490 18913080 19144134 19294200 20151720 20366100 21271260 21277215 21699900 22222869 22390800 22670685 22695696 23641350 23956568 24182064 24439320 25189650 25525512 25532658 26589075 26951139 27154800 28361680 28369620 28716201 28933200 29327184 29630492 29945710 30227580 30549150 31521800 31906890 33586200 34043544 35452100 35462025 35934852 36273096 36658980 37038115 37784475 37826160 38288268 38298987 38588400 40303440 40732200 42542520 42554430 43399800 44445738 44918565 45341370 45823725 47282700 47860335 47913136 48878640 50379300 51051024 51065316 53178150 53902278 56739240 57432402 59260984 59891420 60455160 61098300 63043600 63813780 63831645 66668607 67172400 68087088 70904200 70924050 71869704 72546192 73317960 74076230 74864275 75568950 76576536 76597974 79767225 80853417 81464400 85085040 85108860 86148603 86799600 88891476 89837130 90682740 91647450 94565400 95720670 100758600 102130632 106356300 106386075 107804556 111114345 113353425 113478480 114864804 118521968 119782840 120910320 122196600 127627560 127663290 133337214 134755695 140744837 141808400 141848100 143581005 143739408 146635920 148152460 149728550 151137900 153153072 153195948 159534450 161706834 170217720 172297206 177782952 179674260 181365480 183294900 185190575 189130800 191441340 191494935 200005821 201517200 204261264 212712600 212772150 215609112 222228690 224592825 226706850 229729608 239301675 239565680 242560251 244393200 255255120 255326580 266674428 269511390 281489674 283696200 287162010 296304920 299457100 302275800 306391896 319068900 319158225 323413668 333343035 340435440 344594412 355565904 359348520 362730960 366589800 370381150 382882680 382989870 400011642 404267085 422234511 425425200 425544300 430743015 431218224 444457380 449185650 453413700 459459216 478603350 485120502 510653160 533348856 539022780 555571725 562979348 567392400 574324020 592609840 598914200 600017463 604551600 612783792 638137800 638316450 646827336 666686070 673778475 689188824 703724185 717905025 718697040 727680753 733179600 740762300 765765360 765979740 800023284 808534170 844469022 851088600 861486030 888914760 898371300 906827400 957206700 957474675 970241004 1000029105 1021306320 1066697712 1078045560 1111143450 1125958696 1148648040 1197828400 1200034926 1212801255 1266703533 1276275600 1276632900 1293654672 1333372140 1347556950 1378377648 1407448370 1435810050 1455361506 1481524600 1531959480 1600046568 1617068340 1666715175 1688938044 1702177200 1722972060 1777829520 1796742600 1800052389 1813654800 1914413400 1914949350 1940482008 2000058210 2021335425 2111172555 2153715075 2156091120 2222286900 2251917392 2297296080 2400069852 2425602510 2533407066 2553265800 2666744280 2695113900 2814896740 2871620100 2910723012 2963049200 3000087315 3063918960 3200093136 3234136680 3333430350 3377876088 3445944120 3518620925 3593485200 3600104778 3638403765 3800110599 3828826800 3829898700 3880964016 4000116420 4042670850 4222345110 4307430150 4444573800 4800139704 4851205020 5000145525 5066814132 5106531600 5333488560 5390227800 5629793480 5743240200 5821446024 6000174630 6064006275 6333517665 6468273360 6666860700 6755752176 6891888240 7037241850 7200209556 7276807530 7600221198 7659797400 8000232840 8085341700 8444690220 8614860300 8889147600 9000261945 9600279408 9702410040 10000291050 10133628264 10555862775 10780455600 11259586960 11400331797 11486480400 11642892048 12000349260 12128012550 12667035330 13333721400 14074483700 14400419112 14553615060 15000436575 15200442396 15319594800 16000465680 16170683400 16889380440 17229720600 18000523890 18192018825 19000552995 19404820080 20000582100 20267256528 21111725550 22800663594 24000698520 24256025100 25334070660 26667442800 28148967400 28800838224 29107230120 30000873150 30400884792 31667588325 32341366800 33778760880 34200995391 34459441200 36001047780 36384037650 38001105990 40001164200 42223451100 45001309725 45601327188 48001397040 48512050200 50668141320 56297934800 57001658985 58214460240 60001746300 60801769584 63335176650 68401990782 72002095560 72768075300 76002211980 80002328400 84446902200 90002619450 91202654376 95002764975 97024100400 101336282640 114003317970 120003492600 126670353300 136803981564 144004191120 145536150600 152004423960 168893804400 171004976955 180005238900 182405308752 190005529950 228006635940 240006985200 253340706600 273607963128 285008294925 291072301200 304008847920 342009953910 360010477800 380011059900 456013271880 506681413200 547215926256 570016589850 684019907820 720020955600 760022119800 855024884775 912026543760 1140033179700 1368039815640 1520044239600 1710049769550 2280066359400 2736079631280 3420099539100 4560132718800 6840199078200 13680398156400
- Sum of all divisors σ(n): 53060621402880
- Sum of proper divisors (its aliquot sum) s(n): 39380223246480
- 13680398156400 is an abundant number, because the sum of its proper divisors (39380223246480) is greater than itself. Its abundance is 25699825090080
Bases of 13680398156400
- Binary: 110001110001001101110100010111000010011100002
- Hexadecimal: 0xC713745C270
- Base-36: 4UKORUF00
Squares and roots of 13680398156400
- 13680398156400 squared (136803981564002) is 187153293717632518860960000
- 13680398156400 cubed (136803981564003) is 2560331574338887613198165411934144000000
-
The
square root of 13680398156400 is 3698702.2259706173 -
The
cube root of 13680398156400 is 23916.6076550601
Scales and comparisons
How big is 13680398156400?- 13,680,398,156,400 seconds is equal to 434,994 years, 17 weeks, 6 days, 15 hours.
-
To count from 1 to 13,680,398,156,400 would take you about one million, eighty-seven thousand, four 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 13680398156400 cubic inches would be around 1993.1 feet tall.
Recreational maths with 13680398156400
- 13680398156400 backwards is 00465189308631
- 13680398156400 is a
Harshad number . - The number of decimal digits it has is: 14
- The sum of 13680398156400's digits is 54
- More coming soon!
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The information we have on file for 13680398156400 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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