135828741110400
135,828,741,110,400 is an even composite number composed of five prime numbers multiplied together.
135828741110400 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of two thousand, three hundred four divisors.
Prime factorization of 135828741110400:
27 × 35 × 52 × 133 × 433
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 5 × 5 × 13 × 13 × 13 × 43 × 43 × 43)See below for interesting mathematical facts about the number 135828741110400 from the Numbermatics database.
Names of 135828741110400
- Cardinal: 135828741110400 can be written as One hundred thirty-five trillion, eight hundred twenty-eight billion, seven hundred forty-one million, one hundred ten thousand, four hundred.
Scientific notation
- Scientific notation: 1.358287411104 × 1014
Factors of 135828741110400
Divisors of 135828741110400
- Number of divisors d(n): 2304
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 13 15 16 18 20 24 25 26 27 30 32 36 39 40 43 45 48 50 52 54 60 64 65 72 75 78 80 81 86 90 96 100 104 108 117 120 128 129 130 135 144 150 156 160 162 169 172 180 192 195 200 208 215 216 225 234 240 243 258 260 270 288 300 312 320 324 325 338 344 351 360 384 387 390 400 405 416 430 432 450 468 480 486 507 516 520 540 559 576 585 600 624 640 645 648 650 675 676 688 702 720 774 780 800 810 832 845 860 864 900 936 960 972 975 1014 1032 1040 1053 1075 1080 1118 1152 1161 1170 1200 1215 1248 1290 1296 1300 1350 1352 1376 1404 1440 1521 1548 1560 1600 1620 1664 1677 1690 1720 1728 1755 1800 1849 1872 1920 1935 1944 1950 2025 2028 2064 2080 2106 2150 2160 2197 2236 2322 2340 2400 2430 2496 2535 2580 2592 2600 2700 2704 2752 2795 2808 2880 2925 3042 3096 3120 3159 3200 3225 3240 3354 3380 3440 3456 3483 3510 3600 3698 3744 3870 3888 3900 4050 4056 4128 4160 4212 4225 4300 4320 4394 4472 4563 4644 4680 4800 4860 4992 5031 5070 5160 5184 5200 5265 5400 5408 5504 5547 5590 5616 5760 5805 5850 6075 6084 6192 6240 6318 6450 6480 6591 6708 6760 6880 6966 7020 7200 7267 7396 7488 7605 7740 7776 7800 8100 8112 8256 8320 8385 8424 8450 8600 8640 8775 8788 8944 9126 9245 9288 9360 9600 9675 9720 10062 10140 10320 10368 10400 10449 10530 10800 10816 10985 11094 11180 11232 11610 11700 12150 12168 12384 12480 12636 12675 12900 12960 13182 13416 13520 13689 13760 13932 13975 14040 14400 14534 14792 14976 15093 15210 15480 15552 15600 15795 16200 16224 16512 16641 16770 16848 16900 17200 17280 17415 17550 17576 17888 18252 18490 18576 18720 19350 19440 19773 20124 20280 20640 20800 20898 21060 21600 21632 21801 21970 22188 22360 22464 22815 23220 23400 24037 24300 24336 24768 24960 25155 25272 25350 25800 25920 26325 26364 26832 27040 27378 27520 27735 27864 27950 28080 28800 29025 29068 29584 30186 30420 30960 31104 31200 31590 32400 32448 32955 33282 33540 33696 33800 34400 34830 35100 35152 35776 36335 36504 36980 37152 37440 38025 38700 38880 39546 40248 40560 41067 41280 41600 41796 41925 42120 43200 43602 43940 44376 44720 44928 45279 45630 46225 46440 46800 48074 48600 48672 49536 49923 50310 50544 50700 51600 51840 52245 52650 52728 53664 54080 54756 54925 55470 55728 55900 56160 58050 58136 59168 59319 60372 60840 61920 62400 63180 64800 64896 65403 65910 66564 67080 67392 67600 68445 68800 69660 70200 70304 71552 72111 72670 73008 73960 74304 74880 75465 76050 77400 77760 78975 79092 79507 80496 81120 82134 82560 83205 83592 83850 84240 86400 87075 87204 87880 88752 89440 90558 91260 92450 92880 93600 94471 96148 97200 97344 98865 99846 100620 101088 101400 103200 104490 105300 105456 107328 108160 109005 109512 109850 110940 111456 111800 112320 114075 116100 116272 118336 118638 120185 120744 121680 123840 124800 125775 126360 129600 130806 131820 133128 134160 134784 135200 135837 136890 137600 138675 139320 140400 140608 144222 145340 146016 147920 148608 149769 150930 152100 154800 155520 157950 158184 159014 160992 162240 164268 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10968083100 11162782800 11179320256 11609294112 11699288640 12093014700 12149261280 12243441600 12364928640 12558130650 12576735288 12899215680 12999209600 13060455876 13100765925 13161699720 13395339360 13499179200 13974150320 14039146368 14148827199 14511617640 14624110800 14692129920 14883710400 15186576600 15456160800 15479058816 15720919110 15794039664 16074407232 16124019600 16199015040 16325569845 16452124650 16744174200 16768980384 17413941168 17467687900 17548932960 17860452480 18139522050 18365162400 18691171200 18865102932 19348823520 19498814400 19742549580 20093009040 20248768800 20608214400 20961225480 21058719552 21498692800 21767426460 21936166200 22325565600 22358640512 23218588224 23398577280 23581378665 24186029400 24298522560 24486883200 24678186975 25116261300 25153470576 25798431360 26120911752 26201531850 26323399440 26790678720 26998358400 27209283075 27948300640 28297654398 29023235280 29248221600 29767420800 30373153200 30912321600 31441838220 31588079328 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121492612800 125767352880 126352317312 128992156800 130604558760 131616997200 133953393600 139311529344 139741503200 141488271990 145116176400 150920823456 157209191100 157940396640 160744072320 163255698450 167689803840 169785926388 174139411680 175489329600 188651029320 193488235200 197425495800 200930090400 201227764608 208967294016 209612254800 210587195520 212232407985 217674264600 226381235184 232185882240 235813786650 242985225600 251534705760 261209117520 263233994400 267906787200 279483006400 282976543980 290232352800 301841646912 314418382200 315880793280 326511396900 335379607680 339571852776 348278823360 350978659200 353720679975 377302058640 386976470400 394850991600 401860180800 417934588032 419224509600 424464815970 435348529200 452762470368 471627573300 503069411520 522418235040 526467988800 558966012800 565953087960 580464705600 603683293824 628836764400 631761586560 653022793800 679143705552 696557646720 707441359950 754604117280 789701983200 803720361600 838449019200 848929631940 870697058400 905524940736 943255146600 1006138823040 1044836470080 1052935977600 1061162039925 1131906175920 1160929411200 1257673528800 1306045587600 1358287411104 1414882719900 1509208234560 1579403966400 1676898038400 1697859263880 1741394116800 1811049881472 1886510293200 2089672940160 2122324079850 2263812351840 2515347057600 2612091175200 2716574822208 2829765439800 3018416469120 3158807932800 3395718527760 3482788233600 3773020586400 4244648159700 4527624703680 5030694115200 5224182350400 5433149644416 5659530879600 6791437055520 7546041172800 8489296319400 9055249407360 10448364700800 11319061759200 13582874111040 15092082345600 16978592638800 22638123518400 27165748222080 33957185277600 45276247036800 67914370555200 135828741110400
- Sum of all divisors σ(n): 557448331440000
- Sum of proper divisors (its aliquot sum) s(n): 421619590329600
- 135828741110400 is an abundant number, because the sum of its proper divisors (421619590329600) is greater than itself. Its abundance is 285790849219200
Bases of 135828741110400
- Binary: 111101110001001000101111101110100111010100000002
- Hexadecimal: 0x7B8917DD3A80
- Base-36: 1C5AV1GO00
Squares and roots of 135828741110400
- 135828741110400 squared (1358287411104002) is 18449446911636067024988160000
- 135828741110400 cubed (1358287411104003) is 2505965148190684173240379112265252864000000
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The
square root of 135828741110400 is 11654558.8123446355 -
The
cube root of 135828741110400 is 51404.0367249595
Scales and comparisons
How big is 135828741110400?- 135,828,741,110,400 seconds is equal to 4,318,933 years, 42 weeks, 5 days.
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To count from 1 to 135,828,741,110,400 would take you about ten million, seven hundred ninety-seven thousand, three hundred thirty-four 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 135828741110400 cubic inches would be around 4283.7 feet tall.
Recreational maths with 135828741110400
- 135828741110400 backwards is 004011147828531
- 135828741110400 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 135828741110400's digits is 45
- More coming soon!
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The information we have on file for 135828741110400 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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