13527811720151040
13,527,811,720,151,040 is an even composite number composed of six prime numbers multiplied together.
What does the number 13527811720151040 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 1632 divisors.
13527811720151040 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, six hundred thirty-two divisors.
Prime factorization of 13527811720151040:
216 × 3 × 5 × 133 × 17 × 6072
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 13 × 13 × 13 × 17 × 607 × 607)See below for interesting mathematical facts about the number 13527811720151040 from the Numbermatics database.
Names of 13527811720151040
- Cardinal: 13527811720151040 can be written as Thirteen quadrillion, five hundred twenty-seven trillion, eight hundred eleven billion, seven hundred twenty million, one hundred fifty-one thousand and forty.
Scientific notation
- Scientific notation: 1.352781172015104 × 1016
Factors of 13527811720151040
Divisors of 13527811720151040
- Number of divisors d(n): 1632
-
Complete list of divisors:
1 2 3 4 5 6 8 10 12 13 15 16 17 20 24 26 30 32 34 39 40 48 51 52 60 64 65 68 78 80 85 96 102 104 120 128 130 136 156 160 169 170 192 195 204 208 221 240 255 256 260 272 312 320 338 340 384 390 408 416 442 480 507 510 512 520 544 607 624 640 663 676 680 768 780 816 832 845 884 960 1014 1020 1024 1040 1088 1105 1214 1248 1280 1326 1352 1360 1536 1560 1632 1664 1690 1768 1821 1920 2028 2040 2048 2080 2176 2197 2210 2428 2496 2535 2560 2652 2704 2720 2873 3035 3072 3120 3264 3315 3328 3380 3536 3642 3840 4056 4080 4096 4160 4352 4394 4420 4856 4992 5070 5120 5304 5408 5440 5746 6070 6144 6240 6528 6591 6630 6656 6760 7072 7284 7680 7891 8112 8160 8192 8320 8619 8704 8788 8840 9105 9712 9984 10140 10240 10319 10608 10816 10880 10985 11492 12140 12288 12480 13056 13182 13260 13312 13520 14144 14365 14568 15360 15782 16224 16320 16384 16640 17238 17408 17576 17680 18210 19424 19968 20280 20480 20638 21216 21632 21760 21970 22984 23673 24280 24576 24960 26112 26364 26520 26624 27040 28288 28730 29136 30720 30957 31564 32448 32640 32768 32955 33280 34476 34816 35152 35360 36420 37349 38848 39455 39936 40560 40960 41276 42432 43095 43264 43520 43940 45968 47346 48560 49152 49920 51595 52224 52728 53040 53248 54080 56576 57460 58272 61440 61914 63128 64896 65280 65536 65910 66560 68952 69632 70304 70720 72840 74698 77696 78910 79872 81120 81920 82552 84864 86190 86528 87040 87880 91936 94692 97120 98304 99840 102583 103190 104448 105456 106080 106496 108160 112047 113152 114920 116544 118365 122880 123828 126256 129792 130560 131820 133120 134147 137904 139264 140608 141440 145680 149396 154785 155392 157820 159744 162240 163840 165104 169728 172380 173056 174080 175760 183872 186745 189384 194240 196608 199680 205166 206380 208896 210912 212160 212992 216320 224094 226304 229840 233088 236730 245760 247656 252512 259584 261120 263640 266240 268294 275808 278528 281216 282880 291360 298792 307749 309570 310784 315640 319488 324480 327680 330208 339456 344760 346112 348160 351520 367744 368449 373490 378768 388480 399360 402441 410332 412760 417792 421824 424320 425984 432640 448188 452608 459680 466176 473460 491520 495312 505024 512915 519168 522240 527280 532480 536588 551616 557056 560235 562432 565760 582720 597584 615498 619140 621568 631280 638976 648960 660416 670735 678912 689520 692224 696320 703040 735488 736898 746980 757536 776960 798720 804882 820664 825520 835584 843648 848640 851968 865280 896376 905216 919360 932352 946920 983040 990624 1010048 1025830 1038336 1044480 1054560 1064960 1073176 1103232 1105347 1114112 1120470 1124864 1131520 1165440 1195168 1230996 1238280 1243136 1262560 1277952 1297920 1320832 1333579 1341470 1357824 1379040 1384448 1392640 1406080 1470976 1473796 1493960 1515072 1538745 1553920 1597440 1609764 1641328 1651040 1671168 1687296 1697280 1730560 1743911 1792752 1810432 1838720 1842245 1864704 1893840 1981248 2012205 2020096 2051660 2076672 2088960 2109120 2129920 2146352 2206464 2210694 2240940 2249728 2263040 2330880 2390336 2461992 2476560 2486272 2525120 2555904 2595840 2641664 2667158 2682940 2715648 2758080 2768896 2785280 2812160 2941952 2947592 2987920 3030144 3077490 3107840 3194880 3219528 3282656 3302080 3342336 3374592 3394560 3461120 3487822 3585504 3620864 3677440 3684490 3729408 3787680 3962496 4000737 4024410 4040192 4103320 4153344 4177920 4218240 4259840 4292704 4412928 4421388 4481880 4499456 4526080 4661760 4780672 4789837 4923984 4953120 4972544 5050240 5191680 5231733 5283328 5334316 5365880 5431296 5516160 5526735 5537792 5570560 5624320 5883904 5895184 5975840 6060288 6154980 6215680 6263633 6389760 6439056 6565312 6604160 6667895 6749184 6789120 6922240 6975644 7171008 7241728 7354880 7368980 7458816 7575360 7924992 8001474 8048820 8080384 8206640 8306688 8355840 8436480 8585408 8719555 8825856 8842776 8963760 8998912 9052160 9323520 9561344 9579674 9847968 9906240 9945088 10100480 10383360 10463466 10566656 10668632 10731760 10862592 11032320 11053470 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218493583360 220179227216 232149432320 235430068224 239108663040 250144447488 254052954480 255049240576 256558407680 259034384960 262192300032 270989818112 275224034020 278579318784 285722378240 294287585280 307870089216 310841261952 312680559360 313906757632 318811550720 327740375040 330268840824 333525929984 338737272640 342866853888 348224148480 362200104960 371439091712 382573860864 384837611520 388551577440 392383447040 406484727168 410493452288 412836051030 414455015936 416907412480 428583567360 436987166720 440358454432 464298864640 470860136448 478217326080 500288894976 508105908960 510098481152 513116815360 518068769920 541979636224 550448068040 557158637568 571444756480 588575170560 615740178432 621682523904 625361118720 637623101440 655480750080 660537681648 667051859968 677474545280 696448296960 742878183424 765147721728 769675223040 777103154880 784766894080 812969454336 825672102060 828910031872 833814824960 857167134720 880716908864 928597729280 941720272896 956434652160 1000577789952 1016211817920 1020196962304 1026233630720 1036137539840 1083959272448 1100896136080 1114317275136 1177150341120 1231480356864 1243365047808 1250722237440 1275246202880 1310961500160 1321075363296 1334103719936 1354949090560 1392896593920 1485756366848 1530295443456 1539350446080 1554206309760 1569533788160 1625938908672 1651344204120 1657820063744 1667629649920 1714334269440 1761433817728 1857195458560 1912869304320 2001155579904 2032423635840 2040393924608 2052467261440 2072275079680 2167918544896 2201792272160 2228634550272 2354300682240 2486730095616 2501444474880 2550492405760 2642150726592 2668207439872 2709898181120 2785793187840 3060590886912 3078700892160 3108412619520 3251877817344 3302688408240 3315640127488 3335259299840 3522867635456 3714390917120 3825738608640 4002311159808 4064847271680 4080787849216 4144550159360 4335837089792 4403584544320 4457269100544 4708601364480 4973460191232 5002888949760 5100984811520 5284301453184 5336414879744 5419796362240 5571586375680 6121181773824 6157401784320 6216825239040 6503755634688 6605376816480 6631280254976 6670518599680 7045735270912 7428781834240 7651477217280 8004622319616 8129694543360 8289100318720 8671674179584 8807169088640 9946920382464 10005777899520 10201969623040 10568602906368 10839592724480 11143172751360 12242363547648 12433650478080 13007511269376 13210753632960 13262560509952 13341037199360 14091470541824 15302954434560 16009244639232 16259389086720 16578200637440 17343348359168 17614338177280 19893840764928 20011555799040 20403939246080 21137205812736 21679185448960 22286345502720 24867300956160 26015022538752 26421507265920 26525121019904 26682074398720 28182941083648 30605908869120 32518778173440 33156401274880 34686696718336 35228676354560 39787681529856 40023111598080 42274411625472 43358370897920 49734601912320 52030045077504 52843014531840 53050242039808 56365882167296 61211817738240 65037556346880 66312802549760 69373393436672 70457352709120 79575363059712 80046223196160 84548823250944 86716741795840 99469203824640 104060090155008 105686029063680 112731764334592 130075112693760 132625605099520 140914705418240 159150726119424 169097646501888 173433483591680 198938407649280 208120180310016 211372058127360 225463528669184 260150225387520 265251210199040 281829410836480 338195293003776 346866967183360 397876815298560 422744116254720 450927057338368 520300450775040 563658821672960 676390586007552 795753630597120 845488232509440 901854114676736 1040600901550080 1127317643345920 1352781172015104 1690976465018880 2254635286691840 2705562344030208 3381952930037760 4509270573383680 6763905860075520 13527811720151040
- Sum of all divisors σ(n): 49734844435523520
- Sum of proper divisors (its aliquot sum) s(n): 36207032715372480
- 13527811720151040 is an abundant number, because the sum of its proper divisors (36207032715372480) is greater than itself. Its abundance is 22679220995221440
Bases of 13527811720151040
- Binary: 1100000000111101111001000111000010101100000000000000002
- Hexadecimal: 0x300F791C2B0000
- Base-36: 3P77IWSFH1C
Squares and roots of 13527811720151040
- 13527811720151040 squared (135278117201510402) is 183001689935855839764400413081600
- 13527811720151040 cubed (135278117201510403) is 2475612405921717252643209612896124834743844864000
-
The
square root of 13527811720151040 is 116309121.3970385041 -
The
cube root of 13527811720151040 is 238273.5580596651
Scales and comparisons
How big is 13527811720151040?- 13,527,811,720,151,040 seconds is equal to 430,142,568 years, 22 weeks, 3 days, 3 hours, 44 minutes.
-
To count from 1 to 13,527,811,720,151,040 would take you about one billion, two hundred ninety million, four hundred twenty-seven thousand, seven hundred 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 13527811720151040 cubic inches would be around 19856.1 feet tall.
Recreational maths with 13527811720151040
- 13527811720151040 backwards is 04015102711872531
- 13527811720151040 is a
Harshad number . - The number of decimal digits it has is: 17
- The sum of 13527811720151040's digits is 48
- More coming soon!
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MLA style:
"Number 13527811720151040 - Facts about the integer". Numbermatics.com. 2024. Web. 5 June 2024.
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Numbermatics. (2024). Number 13527811720151040 - Facts about the integer. Retrieved 5 June 2024, from https://numbermatics.com/n/13527811720151040/
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Numbermatics. 2024. "Number 13527811720151040 - Facts about the integer". https://numbermatics.com/n/13527811720151040/
The information we have on file for 13527811720151040 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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