135813421868800
135,813,421,868,800 is an even composite number composed of six prime numbers multiplied together.
135813421868800 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, nine hundred forty-four divisors.
Prime factorization of 135813421868800:
28 × 52 × 133 × 19 × 232 × 312
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 13 × 13 × 13 × 19 × 23 × 23 × 31 × 31)See below for interesting mathematical facts about the number 135813421868800 from the Numbermatics database.
Names of 135813421868800
- Cardinal: 135813421868800 can be written as One hundred thirty-five trillion, eight hundred thirteen billion, four hundred twenty-one million, eight hundred sixty-eight thousand, eight hundred.
Scientific notation
- Scientific notation: 1.358134218688 × 1014
Factors of 135813421868800
Divisors of 135813421868800
- Number of divisors d(n): 1944
-
Complete list of divisors:
1 2 4 5 8 10 13 16 19 20 23 25 26 31 32 38 40 46 50 52 62 64 65 76 80 92 95 100 104 115 124 128 130 152 155 160 169 184 190 200 208 230 247 248 256 260 299 304 310 320 325 338 368 380 400 403 416 437 460 475 494 496 520 529 575 589 598 608 620 640 650 676 713 736 760 775 800 806 832 845 874 920 950 961 988 992 1040 1058 1150 1178 1196 1216 1235 1240 1280 1300 1352 1426 1472 1495 1520 1550 1600 1612 1664 1690 1748 1840 1900 1922 1976 1984 2015 2080 2116 2185 2197 2300 2356 2392 2432 2470 2480 2600 2645 2704 2852 2944 2945 2990 3040 3100 3200 3211 3224 3328 3380 3496 3565 3680 3800 3844 3887 3952 3968 4030 4160 4225 4232 4370 4394 4600 4712 4784 4805 4864 4940 4960 5200 5239 5290 5408 5681 5704 5888 5890 5980 6080 6175 6200 6400 6422 6448 6760 6877 6992 7130 7360 7475 7600 7657 7688 7774 7904 7936 8060 8320 8450 8464 8740 8788 9200 9269 9424 9568 9610 9880 9920 10051 10075 10400 10478 10580 10816 10925 10985 11362 11408 11780 11960 12160 12350 12400 12493 12844 12896 13225 13520 13547 13754 13984 14260 14720 14725 14950 15200 15314 15376 15548 15808 16055 16120 16399 16640 16900 16928 17480 17576 17825 18259 18400 18538 18848 19136 19220 19435 19760 19840 20102 20150 20800 20956 21160 21632 21850 21970 22103 22724 22816 23560 23920 24025 24320 24700 24800 24986 25688 25792 26195 26450 27040 27094 27508 27968 28405 28520 29440 29450 29900 30400 30628 30752 31096 31616 32110 32240 32798 33800 33856 34385 34960 35152 35650 36518 36800 37076 37696 38272 38285 38440 38870 39520 39680 40204 40300 41600 41743 41912 42320 43264 43700 43940 44206 45448 45632 46345 47120 47840 48050 49400 49600 49972 50255 50531 51376 51584 52390 52900 54080 54188 54925 55016 55936 56810 57040 58900 59800 60800 61256 61504 62192 62465 63232 64220 64480 65596 67600 67712 67735 68107 68770 69920 70304 71300 73036 73600 73853 74152 75392 76544 76570 76880 77740 79040 80275 80408 80600 81995 83200 83486 83824 84640 87400 87880 88412 89401 90896 91264 91295 92690 94240 95680 96100 97175 98800 99200 99541 99944 100510 101062 102752 103168 104780 105800 108160 108376 109850 110032 110515 111872 113620 114080 117800 119600 120497 121600 122512 123008 124384 124930 128440 128960 130663 130975 131192 135200 135424 135470 136214 137540 139840 140608 142025 142600 146072 147200 147706 148304 150784 153140 153760 155480 158080 160550 160816 161200 162409 163990 166972 167648 169280 171925 174800 175760 176111 176824 178802 181792 182528 182590 185380 188480 191360 191425 192200 194350 197600 198400 199082 199888 201020 202124 205504 208715 209560 211600 213187 216320 216752 219700 220064 221030 227240 228160 231725 235600 237367 239200 240994 245024 246016 248768 249860 251275 252655 256880 257920 261326 261950 262384 270400 270940 272428 275080 279680 281216 284050 285200 287339 292144 295412 296608 306280 307520 310960 311581 312325 316160 321100 321632 322400 324818 327980 333944 335296 338560 338675 340535 343850 349600 351520 352222 353648 357604 363584 365180 369265 370760 376960 382720 382850 384400 388700 395200 398164 399776 402040 404248 409975 411008 417430 419120 419957 423200 426374 433504 439400 440128 442060 447005 454480 456320 456475 463450 471200 474734 478400 481988 490048 497536 497705 499720 502550 505310 508369 513760 515840 522652 523900 524768 540800 541880 544856 550160 552575 559360 562432 568100 570400 574678 584288 590824 593216 602485 612560 615040 621920 623162 624650 642200 643264 644800 649636 653315 655960 667888 670592 677120 677350 681070 687700 699200 703040 704444 707296 715208 727168 730360 738530 741520 753920 765700 768800 777400 790400 796328 799552 804080 808496 812045 819950 822016 834860 838240 839914 846400 852748 867008 878800 880256 880555 884120 894010 908960 912640 912950 926900 942400 949468 956800 960089 963976 980096 995072 995410 999440 1005100 1010620 1016738 1027520 1043575 1045304 1047800 1049536 1065935 1081600 1083760 1089712 1100320 1105150 1136200 1140800 1149356 1162213 1168576 1181648 1186432 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517613200 518470784 519708800 526571890 528703760 537544960 540497152 543558080 545944100 552051175 554286200 563555200 567781864 572166400 576457648 586097408 595255180 597665120 614456960 617154200 618176704 626584400 627835715 637062400 641840368 648088480 650712320 660879700 671931200 675621440 679447600 682198400 684543457 687314888 698808448 706625504 709486336 709727330 720572060 732621760 743816320 744068975 747081400 759574400 768071200 771180800 772720880 776964656 789957376 802300460 810110600 813390400 828181120 836243200 842515024 844526800 845926016 859143610 873510560 883281880 886857920 900715075 915777200 919484800 922645529 929770400 952408288 956264192 965901100 971205820 987446720 997059200 1002535040 1002875575 1004537144 1035226400 1036941568 1039417600 1053143780 1057407520 1087116160 1091888200 1104102350 1108572400 1116886693 1127110400 1135563728 1152915296 1190510360 1195330240 1214007275 1228913920 1234308400 1236353408 1253168800 1255671430 1283680736 1296176960 1316429725 1321759400 1343862400 1351242880 1358895200 1364396800 1369086914 1374629776 1397616896 1413251008 1419454660 1441144120 1465243520 1487632640 1488137950 1494162800 1519148800 1536142400 1545441760 1553929312 1604600920 1620221200 1626780800 1632372859 1656362240 1685030048 1689053600 1691852032 1718287220 1747021120 1766563760 1773715840 1774318325 1801430150 1831554400 1838969600 1845291058 1859540800 1904816576 1931802200 1942411640 1974893440 1994118400 2005070080 2005751150 2009074288 2070452800 2106287560 2114815040 2147859025 2174232320 2183776400 2208204700 2217144800 2233773386 2271127456 2305830592 2381020720 2390660480 2428014550 2468616800 2472706816 2506337600 2511342860 2567361472 2592353920 2632859450 2643518800 2687724800 2702485760 2717790400 2738173828 2749259552 2826502016 2838909320 2882288240 2930487040 2976275900 2988325600 3072284800 3090883520 3107858624 3139178575 3209201840 3240442400 3253561600 3264745718 3370060096 3378107200 3422717285 3436574440 3494042240 3533127520 3547431680 3548636650 3602860300 3663108800 3690582116 3719081600 3809633152 3863604400 3884823280 3949786880 4011502300 4018148576 4140905600 4212575120 4229630080 4295718050 4367552800 4416409400 4434289600 4467546772 4542254912 4611661184 4613227645 4762041440 4781320960 4856029100 4937233600 5012675200 5022685720 5134722944 5184707840 5265718900 5287037600 5435580800 5476347656 5498519104 5584433465 5653004032 5677818640 5764576480 5952551800 5976651200 6144569600 6181767040 6215717248 6278357150 6418403680 6480884800 6529491436 6740120192 6756214400 6845434570 6873148880 6988084480 7066255040 7097273300 7205720600 7326217600 7381164232 7438163200 7619266304 7727208800 7769646560 8023004600 8036297152 8161864295 8281811200 8425150240 8459260160 8591436100 8735105600 8832818800 8868579200 8935093544 9084509824 9223322368 9226455290 9524082880 9712058200 9874467200 10025350400 10045371440 10269445888 10531437800 10574075200 10871161600 10952695312 10997038208 11168866930 11355637280 11529152960 11905103600 11953302400 12363534080 12431434496 12556714300 12836807360 12961769600 13058982872 13480240384 13512428800 13690869140 13746297760 14132510080 14194546600 14411441200 14652435200 14762328464 15454417600 15539293120 16046009200 16072594304 16323728590 16850300480 17113586425 17182872200 17470211200 17665637600 17737158400 17870187088 18169019648 18452910580 19048165760 19424116400 19748934400 20090742880 21062875600 21148150400 21220847167 21905390624 21994076416 22337733860 22711274560 23058305920 23066138225 23810207200 23906604800 25113428600 25673614720 25923539200 26117965744 27381738280 27492595520 27922167325 28265020160 28389093200 28822882400 29524656928 30908835200 31078586240 32092018400 32145188608 32647457180 33700600960 34227172850 34365744400 34940422400 35331275200 35740374176 36905821160 38096331520 38848232800 40181485760 40809321475 42125751200 42296300800 42441694334 43810781248 44675467720 45422549120 46116611840 46132276450 47620414400 50226857200 51347229440 52235931488 54763476560 54985191040 55844334650 56778186400 57645764800 59049313856 61817670400 62157172480 64184036800 65294914360 67401201920 68454345700 68731488800 70662550400 71480748352 73811642320 77696465600 80362971520 81618642950 84251502400 84883388668 87621562496 89350935440 90845098240 92264552900 95240828800 100453714400 104471862976 106104235835 109526953120 109970382080 111688669300 113556372800 115291529600 118098627712 128368073600 130589828720 136908691400 137462977600 141325100800 142961496704 147623284640 155392931200 160725943040 163237285900 168503004800 169766777336 175243124992 178701870880 184529105800 190481657600 200907428800 208943725952 212208471670 219053906240 223377338600 227112745600 230583059200 236197255424 256736147200 261179657440 273817382800 274925955200 285922993408 295246569280 310785862400 326474571800 337006009600 339533554672 357403741760 369058211600 401814857600 417887451904 424416943340 438107812480 446754677200 454225491200 522359314880 530521179175 547634765600 549851910400 590493138560 652949143600 679067109344 714807483520 738116423200 803629715200 848833886680 876215624960 893509354400 1044718629760 1061042358350 1095269531200 1180986277120 1305898287200 1358134218688 1429614967040 1476232846400 1697667773360 1787018708800 2089437259520 2122084716700 2190539062400 2611796574400 2716268437376 2952465692800 3395335546720 3574037417600 4244169433400 4381078124800 5223593148800 5432536874752 5904931385600 6790671093440 7148074835200 8488338866800 10447186297600 13581342186880 16976677733600 27162684373760 33953355467200 67906710934400 135813421868800
- Sum of all divisors σ(n): 414060618476400
- Sum of proper divisors (its aliquot sum) s(n): 278247196607600
- 135813421868800 is an abundant number, because the sum of its proper divisors (278247196607600) is greater than itself. Its abundance is 142433774738800
Bases of 135813421868800
- Binary: 111101110000101100001101100010000100111000000002
- Hexadecimal: 0x7B8586C42700
- Base-36: 1C53TOS5J4
Squares and roots of 135813421868800
- 135813421868800 squared (1358134218688002) is 18445285559712642084413440000
- 135813421868800 cubed (1358134218688003) is 2505117349211737792711103507716636672000000
-
The
square root of 135813421868800 is 11653901.5728124287 -
The
cube root of 135813421868800 is 51402.1041431465
Scales and comparisons
How big is 135813421868800?- 135,813,421,868,800 seconds is equal to 4,318,446 years, 37 weeks, 1 day, 23 hours, 6 minutes, 40 seconds.
-
To count from 1 to 135,813,421,868,800 would take you about ten million, seven hundred ninety-six thousand, one hundred sixteen 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 135813421868800 cubic inches would be around 4283.5 feet tall.
Recreational maths with 135813421868800
- 135813421868800 backwards is 008868124318531
- The number of decimal digits it has is: 15
- The sum of 135813421868800's digits is 58
- More coming soon!
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"Number 135813421868800 - Facts about the integer". Numbermatics.com. 2024. Web. 25 May 2024.
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Numbermatics. (2024). Number 135813421868800 - Facts about the integer. Retrieved 25 May 2024, from https://numbermatics.com/n/135813421868800/
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The information we have on file for 135813421868800 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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