13540073872000
13,540,073,872,000 is an even composite number composed of seven prime numbers multiplied together.
13540073872000 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand and twenty-four divisors.
Prime factorization of 13540073872000:
27 × 53 × 13 × 23 × 73 × 137 × 283
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 5 × 13 × 23 × 73 × 137 × 283)See below for interesting mathematical facts about the number 13540073872000 from the Numbermatics database.
Names of 13540073872000
- Cardinal: 13540073872000 can be written as Thirteen trillion, five hundred forty billion, seventy-three million, eight hundred seventy-two thousand.
Scientific notation
- Scientific notation: 1.3540073872 × 1013
Factors of 13540073872000
Divisors of 13540073872000
- Number of divisors d(n): 1024
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Complete list of divisors:
1 2 4 5 8 10 13 16 20 23 25 26 32 40 46 50 52 64 65 73 80 92 100 104 115 125 128 130 137 146 160 184 200 208 230 250 260 274 283 292 299 320 325 365 368 400 416 460 500 520 548 566 575 584 598 640 650 685 730 736 800 832 920 949 1000 1040 1096 1132 1150 1168 1196 1300 1370 1415 1460 1472 1495 1600 1625 1664 1679 1781 1825 1840 1898 2000 2080 2192 2264 2300 2336 2392 2600 2740 2830 2875 2920 2944 2990 3151 3200 3250 3358 3425 3562 3650 3679 3680 3796 4000 4160 4384 4528 4600 4672 4745 4784 5200 5480 5660 5750 5840 5980 6302 6500 6509 6716 6850 7075 7124 7300 7358 7360 7475 7592 8000 8320 8395 8768 8905 9056 9125 9200 9344 9490 9568 10001 10400 10960 11320 11500 11680 11960 12604 13000 13018 13432 13700 14150 14248 14600 14716 14720 14950 15184 15755 16000 16790 17125 17536 17810 18112 18250 18395 18400 18980 19136 20002 20659 20800 21827 21920 22640 23000 23360 23725 23920 25208 26000 26036 26864 27400 28300 28496 29200 29432 29900 30368 31510 32545 33580 34250 35375 35620 36224 36500 36790 36800 37375 37960 38272 38771 40004 40963 41318 41600 41975 43654 43840 44525 45280 46000 46720 47450 47840 50005 50416 52000 52072 53728 54800 56600 56992 58400 58864 59800 60736 63020 65090 67160 68500 70750 71240 73000 73580 73600 74750 75920 77542 78775 80008 81926 82636 83950 84617 87308 87680 89050 90560 91975 92000 94900 95680 100010 100832 103295 104000 104144 107456 109135 109600 113200 113984 116800 117728 118625 119600 121472 126040 130013 130180 134320 137000 141500 142480 146000 147160 149500 151840 155084 157550 160016 162725 163852 165272 167900 169234 174616 178100 181120 183950 184000 189800 191360 193855 200020 201664 204815 206590 208000 208288 209875 214912 218270 219200 222625 226400 227968 230023 233600 235456 237250 239200 250025 252080 260026 260360 268567 268640 274000 283000 284960 292000 294320 299000 303680 310168 315100 320032 325450 327704 330544 335800 338468 349232 356200 367900 368000 379600 387710 393875 400040 403328 409630 413180 416576 419750 423085 436540 438400 445250 452800 459875 460046 470912 474500 475157 478400 500050 504023 504160 516475 520052 520720 537134 537280 545675 548000 566000 569920 584000 588640 598000 607360 620336 630200 640064 650065 650900 655408 661088 671600 676936 698464 712400 735800 759200 775420 787750 800080 813625 819260 826360 833152 839500 846170 873080 890500 891733 905600 919750 920092 949000 950314 956800 969275 1000100 1008046 1008320 1024075 1032950 1040104 1041440 1074268 1074560 1091350 1096000 1132000 1139840 1150115 1168000 1177280 1196000 1240672 1250125 1260400 1280128 1300130 1301800 1310816 1322176 1342835 1343200 1353872 1396928 1424800 1471600 1518400 1550840 1575500 1600160 1627250 1638520 1652720 1679000 1692340 1746160 1781000 1783466 1839500 1840184 1898000 1900628 1938550 2000200 2016092 2016640 2048150 2065900 2080208 2082880 2115425 2148536 2182700 2192000 2264000 2300230 2354560 2375785 2392000 2481344 2500250 2520115 2520800 2582375 2600260 2603600 2621632 2644352 2685670 2686400 2707744 2728375 2793856 2830283 2849600 2943200 2990299 3036800 3101680 3151000 3200320 3250325 3254500 3277040 3305440 3358000 3384680 3492320 3562000 3566932 3679000 3680368 3796000 3801256 3877100 4000400 4032184 4096300 4131800 4160416 4165760 4230850 4297072 4365400 4458665 4528000 4600460 4751570 4784000 4846375 4962688 5000500 5040230 5041600 5120375 5164750 5200520 5207200 5243264 5371340 5372800 5415488 5456750 5660566 5699200 5750575 5886400 5980598 6177041 6203360 6302000 6400640 6500650 6509000 6554080 6610880 6714175 6716000 6769360 6984640 7124000 7133864 7358000 7360736 7592000 7602512 7754200 8000800 8064368 8192600 8263600 8320832 8461700 8594144 8730800 8917330 9200920 9503140 9692750 10001000 10080460 10083200 10240750 10329500 10401040 10414400 10577125 10742680 10830976 10913500 11321132 11501150 11592529 11772800 11878925 11961196 12354082 12406720 12600575 12604000 13001300 13018000 13108160 13221760 13428350 13432000 13538720 13969280 14151415 14248000 14267728 14716000 14721472 14951495 15184000 15205024 15508400 16001600 16128736 16251625 16385200 16527200 16641664 16923400 17188288 17461600 17834660 18401840 19006280 19385500 20002000 20160920 20481500 20659000 20802080 20828800 21154250 21485360 21827000 22293325 22642264 23002300 23185058 23757850 23922392 24708164 24813440 25201150 25208000 26002600 26036000 26216320 26856700 26864000 27077440 28302830 28496000 28535456 28752875 29432000 29442944 29902990 30410048 30885205 31016800 32003200 32257472 32503250 32770400 33054400 33570875 33846800 34376576 34923200 35669320 36793679 36803680 38012560 38771000 40004000 40321840 40963000 41318000 41604160 42308500 42970720 43654000 44586650 45284528 46004600 46370116 47515700 47844784 49416328 50402300 50416000 52005200 52072000 53713400 54154880 56605660 57070912 57505750 57962645 58864000 59394625 59805980 60820096 61770410 62033600 63002875 64514944 65006500 65096509 65540800 66108800 67141750 67693600 69846400 70757075 71338640 73587358 73607360 74757475 76025120 77542000 80008000 80643680 81926000 82636000 83208320 84617000 85941440 87308000 89173300 90569056 92009200 92740232 95031400 95689568 98832656 100804600 104010400 104144000 107426800 111466625 113211320 114141824 115011500 115925290 118789250 119611960 123540820 124067200 126005750 130013000 130193018 131081600 134283500 135387200 141514150 142677280 147174716 147214720 149514950 152050240 154426025 155084000 160016000 161287360 163852000 165272000 169234000 171882880 174616000 178346600 181138112 183968395 184018400 185480464 190062800 191379136 197665312 201609200 208020800 214853600 222933250 226422640 230023000 231850580 237578500 239223920 247081640 252011500 260026000 260386036 268567000 270774400 283028300 285354560 289813225 294349432 299029900 304100480 308852050 310168000 322574720 325482545 327704000 330544000 338468000 349232000 353785375 356693200 362276224 367936790 368036800 370960928 373787375 380125600 382758272 395330624 403218400 416041600 429707200 445866500 452845280 460046000 463701160 475157000 478447840 494163280 504023000 520052000 520772072 537134000 566056600 570709120 579626450 588698864 598059800 617704100 620336000 650965090 655408000 676936000 707570750 713386400 735873580 736073600 741921856 747574750 760251200 772130125 790661248 806436800 846254617 859414400 891733000 905690560 919841975 920092000 927402320 950314000 956895680 988326560 1008046000 1040104000 1041544144 1074268000 1132113200 1159252900 1177397728 1196119600 1235408200 1301930180 1353872000 1415141500 1426772800 1449066125 1471747160 1483843712 1495149500 1520502400 1544260250 1612873600 1627412725 1692509234 1783466000 1811381120 1839683950 1840184000 1854804640 1900628000 1913791360 1976653120 2016092000 2080208000 2083088288 2148536000 2264226400 2318505800 2354795456 2392239200 2470816400 2603860360 2830283000 2853545600 2898132250 2943494320 2990299000 3088520500 3254825450 3385018468 3566932000 3679367900 3680368000 3709609280 3801256000 3953306240 4032184000 4166176576 4231273085 4297072000 4528452800 4599209875 4637011600 4709590912 4784478400 4941632800 5207720720 5660566000 5796264500 5886988640 5980598000 6177041000 6509650900 6770036936 7133864000 7358735800 7419218560 7602512000 8064368000 8137063625 8332353152 8462546170 9056905600 9198419750 9274023200 9568956800 9883265600 10415441440 11321132000 11592529000 11773977280 11961196000 12354082000 13019301800 13540073872 14267728000 14717471600 16274127250 16925092340 18396839500 18548046400 19766531200 20830882880 21156365425 22642264000 23185058000 23547954560 23922392000 24708164000 26038603600 27080147744 29434943200 32548254500 33850184680 36793679000 37096092800 41661765760 42312730850 45284528000 46370116000 47844784000 49416328000 52077207200 54160295488 58869886400 65096509000 67700369360 73587358000 84625461700 92740232000 98832656000 104154414400 105781827125 108320590976 117739772800 130193018000 135400738720 147174716000 169250923400 185480464000 208308828800 211563654250 260386036000 270801477440 294349432000 338501846800 423127308500 520772072000 541602954880 588698864000 677003693600 846254617000 1041544144000 1354007387200 1692509234000 2708014774400 3385018468000 6770036936000 13540073872000
- Sum of all divisors σ(n): 38764412144640
- Sum of proper divisors (its aliquot sum) s(n): 25224338272640
- 13540073872000 is an abundant number, because the sum of its proper divisors (25224338272640) is greater than itself. Its abundance is 11684264400640
Bases of 13540073872000
- Binary: 110001010000100010110100101100011010100000002
- Hexadecimal: 0xC508B4B1A80
- Base-36: 4SS82E074
Squares and roots of 13540073872000
- 13540073872000 squared (135400738720002) is 183333600459217072384000000
- 13540073872000 cubed (135400738720003) is 2482350493437532283362931150848000000000
-
The
square root of 13540073872000 is 3679683.9364271491 -
The
cube root of 13540073872000 is 23834.5529892191
Scales and comparisons
How big is 13540073872000?- 13,540,073,872,000 seconds is equal to 430,532 years, 24 weeks, 1 day, 23 hours, 6 minutes, 40 seconds.
-
To count from 1 to 13,540,073,872,000 would take you about one million, seventy-six thousand, three hundred thirty-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 13540073872000 cubic inches would be around 1986.2 feet tall.
Recreational maths with 13540073872000
- 13540073872000 backwards is 00027837004531
- 13540073872000 is a
Harshad number . - The number of decimal digits it has is: 14
- The sum of 13540073872000's digits is 40
- More coming soon!
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The information we have on file for 13540073872000 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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