135349100198400
135,349,100,198,400 is an even composite number composed of seven prime numbers multiplied together.
135349100198400 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of nine hundred sixty divisors.
Prime factorization of 135349100198400:
29 × 3 × 52 × 11 × 31 × 631 × 16381
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 11 × 31 × 631 × 16381)See below for interesting mathematical facts about the number 135349100198400 from the Numbermatics database.
Names of 135349100198400
- Cardinal: 135349100198400 can be written as One hundred thirty-five trillion, three hundred forty-nine billion, one hundred million, one hundred ninety-eight thousand, four hundred.
Scientific notation
- Scientific notation: 1.353491001984 × 1014
Factors of 135349100198400
Divisors of 135349100198400
- Number of divisors d(n): 960
-
Complete list of divisors:
1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 25 30 31 32 33 40 44 48 50 55 60 62 64 66 75 80 88 93 96 100 110 120 124 128 132 150 155 160 165 176 186 192 200 220 240 248 256 264 275 300 310 320 330 341 352 372 384 400 440 465 480 496 512 528 550 600 620 631 640 660 682 704 744 768 775 800 825 880 930 960 992 1023 1056 1100 1200 1240 1262 1280 1320 1364 1408 1488 1536 1550 1600 1650 1705 1760 1860 1893 1920 1984 2046 2112 2200 2325 2400 2480 2524 2560 2640 2728 2816 2976 3100 3155 3200 3300 3410 3520 3720 3786 3840 3968 4092 4224 4400 4650 4800 4960 5048 5115 5280 5456 5632 5952 6200 6310 6400 6600 6820 6941 7040 7440 7572 7680 7936 8184 8448 8525 8800 9300 9465 9600 9920 10096 10230 10560 10912 11904 12400 12620 12800 13200 13640 13882 14080 14880 15144 15775 15872 16368 16381 16896 17050 17600 18600 18930 19200 19561 19840 20192 20460 20823 21120 21824 23808 24800 25240 25575 26400 27280 27764 28160 29760 30288 31550 32736 32762 34100 34705 35200 37200 37860 38400 39122 39680 40384 40920 41646 42240 43648 47325 47616 49143 49600 50480 51150 52800 54560 55528 58683 59520 60576 63100 65472 65524 68200 69410 70400 74400 75720 78244 79360 80768 81840 81905 83292 84480 87296 94650 97805 98286 99200 100960 102300 104115 105600 109120 111056 117366 119040 121152 126200 130944 131048 136400 138820 140800 148800 151440 156488 161536 163680 163810 166584 173525 174592 180191 189300 195610 196572 198400 201920 204600 208230 211200 215171 218240 222112 234732 238080 242304 245715 252400 261888 262096 272800 277640 293415 297600 302880 312976 323072 327360 327620 333168 347050 360382 378600 391220 393144 396800 403840 409200 409525 416460 422400 430342 436480 444224 469464 484608 489025 491430 504800 507811 520575 523776 524192 540573 545600 555280 586830 595200 605760 625952 645513 654720 655240 666336 694100 720764 757200 782440 786288 807680 818400 819050 832920 860684 872960 888448 900955 938928 969216 978050 982860 1009600 1015622 1041150 1048384 1075855 1081146 1091200 1110560 1173660 1190400 1211520 1228575 1251904 1291026 1309440 1310480 1332672 1388200 1441528 1467075 1514400 1523433 1564880 1572576 1615360 1636800 1638100 1665840 1721368 1776896 1801910 1877856 1956100 1965720 2019200 2031244 2082300 2096768 2151710 2162292 2182400 2221120 2347320 2423040 2457150 2503808 2539055 2582052 2618880 2620960 2665344 2702865 2776400 2883056 2934150 3028800 3046866 3129760 3145152 3227565 3273600 3276200 3331680 3442736 3553792 3603820 3755712 3912200 3931440 4038400 4062488 4164600 4193536 4303420 4324584 4364800 4442240 4504775 4694640 4846080 4914300 5007616 5078110 5164104 5241920 5330688 5379275 5405730 5552800 5585921 5766112 5868300 6057600 6093732 6259520 6290304 6455130 6547200 6552400 6663360 6885472 7207640 7511424 7617165 7824400 7862880 8076800 8124976 8329200 8387072 8606840 8649168 8884480 9009550 9389280 9828600 10015232 10156220 10328208 10336411 10483840 10661376 10758550 10811460 11105600 11171842 11532224 11736600 12115200 12187464 12519040 12580608 12695275 12910260 13094400 13104800 13326720 13514325 13770944 14415280 15022848 15234330 15648800 15725760 16137825 16249952 16658400 16757763 17213680 17298336 17768960 18019100 18778560 19657200 20312440 20656416 20672822 20967680 21517100 21622920 22211200 22343684 23064448 23473200 24230400 24374928 25038080 25161216 25390550 25820520 26209600 26653440 27028650 27541888 27929605 28830560 30045696 30468660 31009233 31297600 31451520 32275650 32499904 33316800 33515526 34427360 34596672 36038200 37557120 38085825 39314400 40624880 41312832 41345644 41935360 43034200 43245840 44422400 44687368 46128896 46946400 48749856 50076160 50781100 51641040 51682055 52419200 53306880 54057300 55083776 55859210 57661120 60937320 62018466 62595200 62903040 64551300 64999808 66633600 67031052 68854720 69193344 72076400 75114240 76171650 78628800 81249760 82625664 82691288 83788815 86068400 86491680 88844800 89374736 92257792 93892800 97499712 101562200 103282080 103364110 104838400 108114600 110167552 111718420 113700521 115322240 121874640 124036932 125190400 125806080 129102600 129999616 133267200 134062104 137709440 138386688 139648025 144152800 150228480 152343300 155046165 157257600 162499520 165251328 165382576 167577630 172136800 172983360 178749472 187785600 194999424 203124400 206564160 206728220 209676800 216229200 223436840 227401042 230644480 243749280 248073864 250380800 258205200 258410275 259999232 266534400 268124208 275418880 276773376 279296050 288305600 304686600 310092330 314515200 320428741 324999040 330502656 330765152 335155260 341101563 344273600 345966720 357498944 375571200 389998848 406248800 413128320 413456440 418944075 432458400 446873680 454802084 461288960 487498560 496147728 516410400 516820550 536248416 550837760 558592100 568502605 576611200 609373200 620184660 629030400 640857482 649998080 661530304 670310520 682203126 688547200 691933440 714997888 751142400 775230825 779997696 812497600 826256640 826912880 837888150 864916800 893747360 909604168 961286223 974997120 992295456 1032820800 1033641100 1072496832 1117184200 1137005210 1153222400 1218746400 1240369320 1281714964 1299996160 1323060608 1340621040 1364406252 1377094400 1383866880 1429995776 1550461650 1602143705 1624995200 1652513280 1653825760 1675776300 1705507815 1729833600 1787494720 1819208336 1922572446 1949994240 1984590912 2065641600 2067282200 2144993664 2234368400 2274010420 2306444800 2437492800 2480738640 2563429928 2646121216 2681242080 2728812504 2754188800 2842513025 2859991552 3100923300 3204287410 3249990400 3307651520 3351552600 3411015630 3459667200 3524716151 3574989440 3638416672 3845144892 3899988480 3969181824 4131283200 4134564400 4289987328 4468736800 4548020840 4806431115 4874985600 4961477280 5126859856 5292242432 5362484160 5457625008 5685026050 6201846600 6408574820 6499980800 6615303040 6703105200 6822031260 6919334400 7049432302 7149978880 7276833344 7690289784 7938363648 8010718525 8262566400 8269128800 8527539075 8579974656 8937473600 9096041680 9612862230 9749971200 9922954560 10253719712 10574148453 10724968320 10915250016 11370052100 12403693200 12817149640 13230606080 13406210400 13644062520 14098864604 14299957760 14553666688 15380579568 15876727296 16021437050 16538257600 17055078150 17623580755 17874947200 18192083360 19225724460 19499942400 19845909120 20507439424 21148296906 21449936640 21830500032 22740104200 24032155575 24807386400 25634299280 26461212160 26812420800 27288125040 28197729208 29107333376 30761159136 32042874100 33076515200 34110156300 35247161510 35749894400 36384166720 38451448920 39691818240 41014878848 42296593812 42899873280 43661000064 45480208400 48064311150 49614772800 51268598560 52870742265 53624841600 54576250080 56395458416 58214666752 61522318272 64085748200 66153030400 68220312600 70494323020 71499788800 72768333440 76902897840 79383636480 82029757696 84593187624 87322000128 88117903775 90960416800 96128622300 99229545600 102537197120 105741484530 107249683200 109152500160 112790916832 123044636544 128171496400 132306060800 136440625200 140988646040 145536666880 153805795680 164059515392 169186375248 174644000256 176235807550 181920833600 192257244600 198459091200 205074394240 211482969060 214499366400 218305000320 225581833664 246089273088 256342992800 264353711325 272881250400 281977292080 291073333760 307611591360 338372750496 352471615100 363841667200 384514489200 396918182400 410148788480 422965938120 436610000640 451163667328 492178546176 512685985600 528707422650 545762500800 563954584160 615223182720 676745500992 704943230200 727683334400 769028978400 820297576960 845931876240 873220001280 902327334656 1025371971200 1057414845300 1091525001600 1127909168320 1230446365440 1353491001984 1409886460400 1455366668800 1538057956800 1691863752480 1804654669312 2050743942400 2114829690600 2183050003200 2255818336640 2460892730880 2706982003968 2819772920800 3076115913600 3383727504960 4101487884800 4229659381200 4366100006400 4511636673280 5413964007936 5639545841600 6152231827200 6767455009920 8459318762400 9023273346560 11279091683200 12304463654400 13534910019840 16918637524800 22558183366400 27069820039680 33837275049600 45116366732800 67674550099200 135349100198400
- Sum of all divisors σ(n): 504327375839232
- Sum of proper divisors (its aliquot sum) s(n): 368978275640832
- 135349100198400 is an abundant number, because the sum of its proper divisors (368978275640832) is greater than itself. Its abundance is 233629175442432
Bases of 135349100198400
- Binary: 111101100011001011010110000100110111010000000002
- Hexadecimal: 0x7B196B09BA00
- Base-36: 1BZ6INNBPC
Squares and roots of 135349100198400
- 135349100198400 squared (1353491001984002) is 18319378924516522919362560000
- 135349100198400 cubed (1353491001984003) is 2479511453626844090889173216897531904000000
-
The
square root of 135349100198400 is 11633963.2197458833 -
The
cube root of 135349100198400 is 51343.4590759463
Scales and comparisons
How big is 135349100198400?- 135,349,100,198,400 seconds is equal to 4,303,682 years, 37 weeks, 4 days, 13 hours, 20 minutes.
-
To count from 1 to 135,349,100,198,400 would take you about ten million, seven hundred fifty-nine thousand, two hundred six 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 135349100198400 cubic inches would be around 4278.6 feet tall.
Recreational maths with 135349100198400
- 135349100198400 backwards is 004891001943531
- 135349100198400 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 135349100198400's digits is 48
- More coming soon!
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The information we have on file for 135349100198400 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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