135139686426624000
135,139,686,426,624,000 is an even composite number composed of six prime numbers multiplied together.
135139686426624000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, nine hundred twenty divisors.
Prime factorization of 135139686426624000:
214 × 3 × 53 × 11 × 23 × 4433
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 5 × 11 × 23 × 443 × 443 × 443)See below for interesting mathematical facts about the number 135139686426624000 from the Numbermatics database.
Names of 135139686426624000
- Cardinal: 135139686426624000 can be written as One hundred thirty-five quadrillion, one hundred thirty-nine trillion, six hundred eighty-six billion, four hundred twenty-six million, six hundred twenty-four thousand.
Scientific notation
- Scientific notation: 1.35139686426624 × 1017
Factors of 135139686426624000
Divisors of 135139686426624000
- Number of divisors d(n): 1920
-
Complete list of divisors:
1 2 3 4 5 6 8 10 11 12 15 16 20 22 23 24 25 30 32 33 40 44 46 48 50 55 60 64 66 69 75 80 88 92 96 100 110 115 120 125 128 132 138 150 160 165 176 184 192 200 220 230 240 250 253 256 264 275 276 300 320 330 345 352 368 375 384 400 440 443 460 480 500 506 512 528 550 552 575 600 640 660 690 704 736 750 759 768 800 825 880 886 920 960 1000 1012 1024 1056 1100 1104 1150 1200 1265 1280 1320 1329 1375 1380 1408 1472 1500 1518 1536 1600 1650 1725 1760 1772 1840 1920 2000 2024 2048 2112 2200 2208 2215 2300 2400 2530 2560 2640 2658 2750 2760 2816 2875 2944 3000 3036 3072 3200 3300 3450 3520 3544 3680 3795 3840 4000 4048 4096 4125 4224 4400 4416 4430 4600 4800 4873 5060 5120 5280 5316 5500 5520 5632 5750 5888 6000 6072 6144 6325 6400 6600 6645 6900 7040 7088 7360 7590 7680 8000 8096 8192 8250 8448 8625 8800 8832 8860 9200 9600 9746 10120 10189 10240 10560 10632 11000 11040 11075 11264 11500 11776 12000 12144 12288 12650 12800 13200 13290 13800 14080 14176 14619 14720 15180 15360 16000 16192 16384 16500 16896 17250 17600 17664 17720 18400 18975 19200 19492 20240 20378 20480 21120 21264 22000 22080 22150 22528 23000 23552 24000 24288 24365 24576 25300 25600 26400 26580 27600 28160 28352 29238 29440 30360 30567 30720 31625 32000 32384 33000 33225 33792 34500 35200 35328 35440 36800 37950 38400 38984 40480 40756 40960 42240 42528 44000 44160 44300 45056 46000 47104 48000 48576 48730 49152 50600 50945 51200 52800 53160 55200 55375 56320 56704 58476 58880 60720 61134 61440 63250 64000 64768 66000 66450 67584 69000 70400 70656 70880 73095 73600 75900 76800 77968 80960 81512 81920 84480 85056 88000 88320 88600 90112 92000 94208 94875 96000 97152 97460 101200 101890 102400 105600 106320 110400 110750 112079 112640 113408 116952 117760 121440 121825 122268 122880 126500 128000 129536 132000 132900 135168 138000 140800 141312 141760 146190 147200 151800 152835 153600 155936 161920 163024 166125 168960 170112 176000 176640 177200 180224 184000 188416 189750 192000 194304 194920 196249 202400 203780 204800 211200 212640 220800 221500 224158 225280 226816 233904 235520 242880 243650 244536 245760 253000 254725 256000 259072 264000 265800 270336 276000 281600 282624 283520 292380 294400 303600 305670 307200 311872 323840 326048 332250 336237 337920 340224 352000 353280 354400 365475 368000 376832 379500 384000 388608 389840 392498 404800 407560 409600 422400 425280 441600 443000 448316 450560 453632 467808 471040 485760 487300 489072 506000 509450 512000 518144 528000 531600 540672 552000 560395 563200 565248 567040 584760 588747 588800 607200 609125 611340 614400 623744 647680 652096 664500 672474 675840 680448 704000 706560 708800 730950 736000 759000 764175 768000 777216 779680 784996 809600 815120 844800 850560 883200 886000 896632 901120 907264 935616 942080 971520 974600 978144 981245 1012000 1018900 1024000 1036288 1056000 1063200 1104000 1120790 1126400 1130496 1134080 1169520 1177494 1177600 1214400 1218250 1222680 1228800 1247488 1273625 1295360 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2782025824000 2815410133888 2868964131000 2937819270144 2999371591500 3050557255680 3060228406400 3071356509696 3177663808000 3199329697600 3299308750650 3315823104000 3338430988800 3466542336000 3519262667360 3560993054720 3672274087680 3813196569600 3825285508000 3839195637120 3917092360192 3999162122000 4067409674240 4095142012928 4173038736000 4223115200832 4273191665664 4399078334200 4421097472000 4451241318400 4590342609600 4622056448000 4766495712000 4798994546400 4896365450240 5084262092800 5118927516160 5278894001040 5341489582080 5498847917750 5546467737600 5564051648000 5630820267776 5737928262000 5875638540288 5998743183000 6101114511360 6120456812800 6142713019392 6355327616000 6398659395200 6598617501300 6631646208000 6676861977600 6933084672000 7038525334720 7121986109440 7344548175360 7626393139200 7650571016000 7678391274240 7834184720384 7998324244000 8190284025856 8248271876625 8346077472000 8446230401664 8798156668400 8902482636800 9180685219200 9244112896000 9532991424000 9597989092800 9792730900480 10168524185600 10237855032320 10557788002080 10682979164160 10997695835500 11128103296000 11261640535552 11475856524000 11751277080576 11997486366000 12202229022720 12240913625600 12285426038784 12710655232000 12797318790400 13197235002600 13263292416000 13353723955200 13866169344000 14077050669440 14689096350720 15252786278400 15301142032000 15356782548480 15668369440768 15996648488000 16380568051712 16496543753250 16692154944000 16892460803328 17596313336800 17804965273600 18361370438400 19065982848000 19195978185600 19585461800960 20337048371200 20475710064640 21115576004160 21365958328320 21995391671000 22256206592000 22523281071104 22951713048000 23502554161152 23994972732000 24481827251200 24570852077568 25421310464000 25594637580800 26394470005200 26707447910400 27732338688000 28154101338880 29378192701440 30505572556800 30602284064000 30713565096960 31993296976000 32761136103424 32993087506500 33384309888000 33784921606656 35192626673600 35609930547200 36722740876800 38131965696000 38391956371200 39170923601920 40951420129280 42231152008320 43990783342000 44512413184000 45046562142208 45903426096000 47005108322304 47989945464000 48963654502400 49141704155136 50842620928000 51189275161600 52788940010400 53414895820800 56308202677760 58756385402880 61011145113600 61204568128000 61427130193920 63986593952000 65986175013000 66768619776000 67569843213312 70385253347200 73445481753600 76263931392000 76783912742400 78341847203840 81902840258560 84462304016640 87981566684000 89024826368000 90093124284416 91806852192000 95979890928000 97927309004800 98283408310272 101685241856000 102378550323200 105577880020800 106829791641600 112616405355520 117512770805760 122409136256000 122854260387840 127973187904000 131972350026000 133537239552000 135139686426624 140770506694400 146890963507200 152527862784000 153567825484800 163805680517120 168924608033280 175963133368000 178049652736000 180186248568832 183613704384000 191959781856000 195854618009600 204757100646400 211155760041600 225232810711040 235025541611520 244818272512000 245708520775680 255946375808000 263944700052000 267074479104000 270279372853248 281541013388800 293781927014400 305055725568000 307135650969600 337849216066560 351926266736000 360372497137664 367227408768000 383919563712000 391709236019200 409514201292800 422311520083200 450465621422080 489636545024000 491417041551360 511892751616000 527889400104000 534148958208000 540558745706496 563082026777600 587563854028800 614271301939200 675698432133120 703852533472000 734454817536000 767839127424000 819028402585600 844623040166400 900931242844160 979273090048000 1023785503232000 1055778800208000 1081117491412992 1126164053555200 1175127708057600 1228542603878400 1351396864266240 1407705066944000 1468909635072000 1535678254848000 1689246080332800 1801862485688320 1958546180096000 2047571006464000 2111557600416000 2252328107110400 2457085207756800 2702793728532480 2815410133888000 2937819270144000 3071356509696000 3378492160665600 4095142012928000 4223115200832000 4504656214220800 5405587457064960 5630820267776000 5875638540288000 6142713019392000 6756984321331200 8446230401664000 9009312428441600 11261640535552000 12285426038784000 13513968642662400 16892460803328000 22523281071104000 27027937285324800 33784921606656000 45046562142208000 67569843213312000 135139686426624000
- Sum of all divisors σ(n): 513105174167040000
- Sum of proper divisors (its aliquot sum) s(n): 377965487740416000
- 135139686426624000 is an abundant number, because the sum of its proper divisors (377965487740416000) is greater than itself. Its abundance is 242825801313792000
Bases of 135139686426624000
- Binary: 1111000000001110011010100001011001000010001000000000000002
- Hexadecimal: 0x1E01CD42C844000
- Base-36: 10YN0QVZ3V9C
Squares and roots of 135139686426624000
- 135139686426624000 squared (1351396864266240002) is 18262734847486262982136037376000000
- 135139686426624000 cubed (1351396864266240003) is 2468020260581872460293267158767708745498624000000000
-
The
square root of 135139686426624000 is 367613501.4204782985 -
The
cube root of 135139686426624000 is 513169.6566643653
Scales and comparisons
How big is 135139686426624000?- 135,139,686,426,624,000 seconds is equal to 4,297,024,013 years, 45 weeks, 1 day, 21 hours, 20 minutes.
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To count from 1 to 135,139,686,426,624,000 would take you about twelve billion, eight hundred ninety-one million, seventy-two thousand and forty-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 135139686426624000 cubic inches would be around 42764.1 feet tall.
Recreational maths with 135139686426624000
- 135139686426624000 backwards is 000426624686931531
- 135139686426624000 is a
Harshad number . - The number of decimal digits it has is: 18
- The sum of 135139686426624000's digits is 66
- More coming soon!
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The information we have on file for 135139686426624000 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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