135814732329369600
135,814,732,329,369,600 is an even composite number composed of seven prime numbers multiplied together.
What does the number 135814732329369600 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 2160 divisors.
135814732329369600 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of two thousand, one hundred sixty divisors.
Prime factorization of 135814732329369600:
214 × 32 × 52 × 13 × 31 × 1093 × 83641
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 13 × 31 × 1093 × 83641)See below for interesting mathematical facts about the number 135814732329369600 from the Numbermatics database.
Names of 135814732329369600
- Cardinal: 135814732329369600 can be written as One hundred thirty-five quadrillion, eight hundred fourteen trillion, seven hundred thirty-two billion, three hundred twenty-nine million, three hundred sixty-nine thousand, six hundred.
Scientific notation
- Scientific notation: 1.358147323293696 × 1017
Factors of 135814732329369600
Divisors of 135814732329369600
- Number of divisors d(n): 2160
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Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 13 15 16 18 20 24 25 26 30 31 32 36 39 40 45 48 50 52 60 62 64 65 72 75 78 80 90 93 96 100 104 117 120 124 128 130 144 150 155 156 160 180 186 192 195 200 208 225 234 240 248 256 260 279 288 300 310 312 320 325 360 372 384 390 400 403 416 450 465 468 480 496 512 520 558 576 585 600 620 624 640 650 720 744 768 775 780 800 806 832 900 930 936 960 975 992 1024 1040 1093 1116 1152 1170 1200 1209 1240 1248 1280 1300 1395 1440 1488 1536 1550 1560 1600 1612 1664 1800 1860 1872 1920 1950 1984 2015 2048 2080 2186 2232 2304 2325 2340 2400 2418 2480 2496 2560 2600 2790 2880 2925 2976 3072 3100 3120 3200 3224 3279 3328 3600 3627 3720 3744 3840 3900 3968 4030 4096 4160 4372 4464 4608 4650 4680 4800 4836 4960 4992 5120 5200 5465 5580 5760 5850 5952 6045 6144 6200 6240 6400 6448 6558 6656 6975 7200 7254 7440 7488 7680 7800 7936 8060 8192 8320 8744 8928 9216 9300 9360 9600 9672 9837 9920 9984 10075 10240 10400 10930 11160 11520 11700 11904 12090 12288 12400 12480 12800 12896 13116 13312 13950 14209 14400 14508 14880 14976 15360 15600 15872 16120 16384 16395 16640 17488 17856 18135 18432 18600 18720 19200 19344 19674 19840 19968 20150 20480 20800 21860 22320 23040 23400 23808 24180 24576 24800 24960 25600 25792 26232 26624 27325 27900 28418 28800 29016 29760 29952 30225 30720 31200 31744 32240 32790 33280 33883 34976 35712 36270 36864 37200 37440 38400 38688 39348 39680 39936 40300 40960 41600 42627 43720 44640 46080 46800 47616 48360 49152 49185 49600 49920 51200 51584 52464 53248 54650 55800 56836 57600 58032 59520 59904 60450 61440 62400 63488 64480 65580 66560 67766 69952 71045 71424 72540 73728 74400 74880 76800 77376 78696 79360 79872 80600 81920 81975 83200 83641 85254 87440 89280 90675 92160 93600 95232 96720 98370 99200 99840 101649 102400 103168 104928 106496 109300 111600 113672 115200 116064 119040 119808 120900 122880 124800 126976 127881 128960 131160 133120 135532 139904 142090 142848 145080 147456 148800 149760 153600 154752 157392 158720 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8161943048640 8283911700480 8289473408775 8425231534080 8556875776800 8706072585216 8842104969360 9068825609600 9127334161920 9361368371200 9431578633984 9558359654400 9735823106048 10202428810800 10354889625600 10531539417600 10610525963232 10882590731520 10952800994304 11052631211700 11233642045440 11409167702400 11608096780288 11789473292480 12169778882560 12425867550720 13059108877824 13263157454040 13480370454528 13603238414400 13691001242880 13806519500800 14042052556800 14147367950976 14510120975360 14603734659072 14736841615600 15212223603200 15532334438400 16323886097280 16578946817550 16850463068160 17113751553600 17412145170432 17684209938720 18137651219200 18254668323840 18722736742400 18863157267968 19471646212096 20404857621600 20709779251200 21063078835200 21221051926464 21765181463040 21905601988608 22105262423400 22467284090880 22818335404800 23216193560576 23578946584960 24339557765120 24851735101440 26118217755648 26526314908080 27206476828800 27382002485760 28084105113600 28294735901952 29020241950720 29207469318144 29473683231200 30424447206400 31064668876800 32647772194560 33157893635100 33700926136320 34227503107200 34824290340864 35368419877440 36275302438400 36509336647680 37445473484800 37726314535936 40809715243200 41419558502400 42126157670400 42442103852928 43530362926080 43811203977216 44210524846800 45636670809600 46432387121152 47157893169920 48679115530240 52236435511296 53052629816160 54412953657600 54764004971520 56168210227200 56589471803904 58040483901440 58414938636288 58947366462400 60848894412800 62129337753600 65295544389120 66315787270200 67401852272640 68455006214400 69648580681728 70736839754880 72550604876800 73018673295360 75452629071872 81619430486400 84252315340800 84884207705856 87060725852160 87622407954432 88421049693600 91273341619200 94315786339840 97358231060480 104472871022592 106105259632320 108825907315200 109528009943040 112336420454400 113178943607808 116080967802880 117894732924800 121697788825600 124258675507200 130591088778240 132631574540400 136910012428800 139297161363456 141473679509760 145101209753600 146037346590720 150905258143744 163238860972800 168504630681600 169768415411712 174121451704320 175244815908864 176842099387200 182546683238400 188631572679680 208945742045184 212210519264640 217651814630400 219056019886080 226357887215616 232161935605760 235789465849600 243395577651200 261182177556480 265263149080800 273820024857600 282947359019520 290202419507200 292074693181440 301810516287488 326477721945600 337009261363200 339536830823424 348242903408640 353684198774400 365093366476800 377263145359360 417891484090368 424421038529280 435303629260800 438112039772160 452715774431232 471578931699200 486791155302400 522364355112960 530526298161600 547640049715200 565894718039040 580404839014400 603621032574976 652955443891200 679073661646848 696485806817280 707368397548800 730186732953600 754526290718720 848842077058560 870607258521600 876224079544320 905431548862464 943157863398400 1044728710225920 1061052596323200 1095280099430400 1131789436078080 1160809678028800 1305910887782400 1358147323293696 1414736795097600 1460373465907200 1509052581437440 1697684154117120 1741214517043200 1810863097724928 1886315726796800 2089457420451840 2122105192646400 2190560198860800 2263578872156160 2611821775564800 2716294646587392 2829473590195200 3018105162874880 3395368308234240 3482429034086400 3772631453593600 4244210385292800 4381120397721600 4527157744312320 5223643551129600 5432589293174784 5658947180390400 6790736616468480 7545262907187200 8488420770585600 9054315488624640 10447287102259200 11317894360780800 13581473232936960 15090525814374400 16976841541171200 22635788721561600 27162946465873920 33953683082342400 45271577443123200 67907366164684800 135814732329369600
- Sum of all divisors σ(n): 541329222461058304
- Sum of proper divisors (its aliquot sum) s(n): 405514490131688704
- 135814732329369600 is an abundant number, because the sum of its proper divisors (405514490131688704) is greater than itself. Its abundance is 269699757802319104
Bases of 135814732329369600
- Binary: 1111000101000001011000111100010111100000111000000000000002
- Hexadecimal: 0x1E282C78BC1C000
- Base-36: 115AAYP0FLS0
Squares and roots of 135814732329369600
- 135814732329369600 squared (1358147323293696002) is 18445641517698312014378733404160000
- 135814732329369600 cubed (1358147323293696003) is 2505189865369703071512913772636555754954817536000000
-
The
square root of 135814732329369600 is 368530503.9333509499 -
The
cube root of 135814732329369600 is 514022.6946851993
Scales and comparisons
How big is 135814732329369600?- 135,814,732,329,369,600 seconds is equal to 4,318,488,385 years, 27 weeks, 1 day, 16 hours.
-
To count from 1 to 135,814,732,329,369,600 would take you about twelve billion, nine hundred fifty-five million, four hundred sixty-five thousand, one hundred fifty-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 135814732329369600 cubic inches would be around 42835.2 feet tall.
Recreational maths with 135814732329369600
- 135814732329369600 backwards is 006963923237418531
- 135814732329369600 is a
Harshad number . - The number of decimal digits it has is: 18
- The sum of 135814732329369600's digits is 72
- More coming soon!
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"Number 135814732329369600 - Facts about the integer". Numbermatics.com. 2024. Web. 8 June 2024.
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Numbermatics. (2024). Number 135814732329369600 - Facts about the integer. Retrieved 8 June 2024, from https://numbermatics.com/n/135814732329369600/
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The information we have on file for 135814732329369600 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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