137991201768806400
137,991,201,768,806,400 is an even composite number composed of seven prime numbers multiplied together.
What does the number 137991201768806400 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 2592 divisors.
137991201768806400 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of two thousand, five hundred ninety-two divisors.
Prime factorization of 137991201768806400:
211 × 32 × 52 × 72 × 181 × 439 × 76913
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 7 × 7 × 181 × 439 × 76913)See below for interesting mathematical facts about the number 137991201768806400 from the Numbermatics database.
Names of 137991201768806400
- Cardinal: 137991201768806400 can be written as One hundred thirty-seven quadrillion, nine hundred ninety-one trillion, two hundred one billion, seven hundred sixty-eight million, eight hundred six thousand, four hundred.
Scientific notation
- Scientific notation: 1.379912017688064 × 1017
Factors of 137991201768806400
Divisors of 137991201768806400
- Number of divisors d(n): 2592
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Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 25 28 30 32 35 36 40 42 45 48 49 50 56 60 63 64 70 72 75 80 84 90 96 98 100 105 112 120 126 128 140 144 147 150 160 168 175 180 181 192 196 200 210 224 225 240 245 252 256 280 288 294 300 315 320 336 350 360 362 384 392 400 420 439 441 448 450 480 490 504 512 525 543 560 576 588 600 630 640 672 700 720 724 735 768 784 800 840 878 882 896 900 905 960 980 1008 1024 1050 1086 1120 1152 1176 1200 1225 1260 1267 1280 1317 1344 1400 1440 1448 1470 1536 1568 1575 1600 1629 1680 1756 1764 1792 1800 1810 1920 1960 2016 2048 2100 2172 2195 2205 2240 2304 2352 2400 2450 2520 2534 2560 2634 2688 2715 2800 2880 2896 2940 3072 3073 3136 3150 3200 3258 3360 3512 3528 3584 3600 3620 3675 3801 3840 3920 3951 4032 4200 4344 4390 4410 4480 4525 4608 4704 4800 4900 5040 5068 5120 5268 5376 5430 5600 5760 5792 5880 6144 6146 6272 6300 6335 6400 6516 6585 6720 7024 7056 7168 7200 7240 7350 7602 7680 7840 7902 8064 8145 8400 8688 8780 8820 8869 8960 9050 9216 9219 9408 9600 9800 10080 10136 10240 10536 10752 10860 10975 11025 11200 11403 11520 11584 11760 12292 12544 12600 12670 12800 13032 13170 13440 13575 14048 14112 14336 14400 14480 14700 15204 15360 15365 15680 15804 16128 16290 16800 17376 17560 17640 17738 17920 18100 18432 18438 18816 19005 19200 19600 19755 20160 20272 21072 21504 21511 21720 21950 22050 22400 22806 23040 23168 23520 24584 25088 25200 25340 25600 26064 26340 26607 26880 27150 27657 28096 28224 28800 28960 29400 30408 30720 30730 31360 31608 31675 32256 32580 32925 33600 34752 35120 35280 35476 35840 36200 36876 37632 38010 38400 39200 39510 40320 40544 40725 42144 43008 43022 43440 43900 44100 44345 44800 45612 46080 46095 46336 47040 49168 50176 50400 50680 51200 52128 52680 53214 53760 54300 55314 56192 56448 57015 57600 57920 58800 60816 61460 62720 63216 63350 64512 64533 65160 65850 67200 69504 70240 70560 70952 71680 72400 73752 75264 76020 76800 76825 76913 78400 79020 79459 79821 80640 81088 81450 84288 86044 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3492563952640 3520183718592 3593520879396 3630392048640 3666858040200 3742032806400 3811911651072 3850200942210 3889705766400 3911315242880 3929134446720 3970741303200 4106881005024 4191076743168 4235457390080 4278001046900 4356470458368 4365704940800 4400229648240 4490439367680 4491901099245 4537990060800 4693578291456 4764889563840 4791361172528 4889144053600 4911418058400 4989377075200 5082548868096 5133601256280 5186274355200 5238845928960 5294321737600 5390281319094 5445588072960 5475841340032 5500287060300 5613049209600 5866972864320 5956111954800 5989201465660 6050653414400 6160321507536 6258104388608 6286615114752 6353186085120 6414913382400 6417001570350 6548557411200 6806985091200 6844801675040 6985127905280 7040367437184 7187041758792 7260784097280 7333716080400 7484065612800 7486501832075 7623823302144 7700401884420 7779411532800 7822630485760 7858268893440 7941482606400 8213762010048 8470914780160 8556002093800 8731409881600 8800459296480 8980878735360 8983802198490 9075980121600 9387156582912 9529779127680 9582722345056 9625502355525 9778288107200 9822836116800 10165097736192 10267202512560 10477691857920 10588643475200 10780562638188 10891176145920 10951682680064 11000574120600 11226098419200 11733945728640 11912223909600 11978402931320 12101306828800 12320643015072 12516208777216 12573230229504 12706372170240 12834003140700 13097114822400 13475703297735 13613970182400 13689603350080 14080734874368 14374083517584 14667432160800 14968131225600 14973003664150 15247646604288 15400803768840 15558823065600 15645260971520 15716537786880 15882965212800 16427524020096 16941829560320 17112004187600 17462819763200 17600918592960 17967604396980 18151960243200 18774313165824 19059558255360 19165444690112 19251004711050 19556576214400 19645672233600 20534405025120 20955383715840 21177286950400 21561125276376 21782352291840 21903365360128 22001148241200 22452196838400 22459505496225 23467891457280 23824447819200 23956805862640 24641286030144 25412744340480 25668006281400 26194229644800 26951406595470 27227940364800 27379206700160 28161469748736 28748167035168 29334864321600 29946007328300 30495293208576 30801607537680 31290521943040 31433075573760 31765930425600 32855048040192 34224008375200 34925639526400 35201837185920 35935208793960 36303920486400 37548626331648 38119116510720 38330889380224 38502009422100 39113152428800 39291344467200 41068810050240 42354573900800 43122250552752 43806730720256 44002296482400 44904393676800 44919010992450 46935782914560 47648895638400 47913611725280 49282572060288 50825488680960 51336012562800 52388459289600 53902813190940 54455880729600 54758413400320 56322939497472 57496334070336 58669728643200 59892014656600 61603215075360 62581043886080 62866151147520 63531860851200 65710096080384 67378516488675 68448016750400 70403674371840 71870417587920 76238233021440 76661778760448 77004018844200 78226304857600 78582688934400 82137620100480 84709147801600 86244501105504 87613461440512 88004592964800 89838021984900 93871565829120 95297791276800 95827223450560 98565144120576 102672025125600 104776918579200 107805626381880 108911761459200 109516826800640 112645878994944 114992668140672 117339457286400 119784029313200 123206430150720 127063721702400 131420192160768 134757032977350 136896033500800 140807348743680 143740835175840 152476466042880 153323557520896 154008037688400 156452609715200 157165377868800 164275240200960 172489002211008 176009185929600 179676043969800 187743131658240 190595582553600 191654446901120 197130288241152 205344050251200 215611252763760 219033653601280 229985336281344 234678914572800 239568058626400 246412860301440 254127443404800 262840384321536 269514065954700 273792067001600 281614697487360 287481670351680 306647115041792 308016075376800 312905219430400 314330755737600 328550480401920 344978004422016 352018371859200 359352087939600 381191165107200 383308893802240 394260576482304 410688100502400 431222505527520 438067307202560 459970672562688 469357829145600 479136117252800 492825720602880 539028131909400 547584134003200 563229394974720 574963340703360 613294230083584 616032150753600 657100960803840 689956008844032 704036743718400 718704175879200 762382330214400 766617787604480 788521152964608 821376201004800 862445011055040 919941345125376 938715658291200 958272234505600 985651441205760 1078056263818800 1095168268006400 1149926681406720 1232064301507200 1314201921607680 1379912017688064 1408073487436800 1437408351758400 1533235575208960 1642752402009600 1724890022110080 1839882690250752 1916544469011200 1971302882411520 2156112527637600 2190336536012800 2299853362813440 2464128603014400 2759824035376128 2816146974873600 2874816703516800 3066471150417920 3285504804019200 3449780044220160 3833088938022400 3942605764823040 4312225055275200 4599706725626880 4928257206028800 5519648070752256 5749633407033600 6571009608038400 6899560088440320 7666177876044800 8624450110550400 9199413451253760 9856514412057600 11499266814067200 13799120176880640 15332355752089600 17248900221100800 19713028824115200 22998533628134400 27598240353761280 34497800442201600 45997067256268800 68995600884403200 137991201768806400
- Sum of all divisors σ(n): 579379694327834400
- Sum of proper divisors (its aliquot sum) s(n): 441388492559028000
- 137991201768806400 is an abundant number, because the sum of its proper divisors (441388492559028000) is greater than itself. Its abundance is 303397290790221600
Bases of 137991201768806400
- Binary: 1111010100011111001000100010100111000111100011000000000002
- Hexadecimal: 0x1EA3E44538F1800
- Base-36: 11QPSQY9WCG0
Squares and roots of 137991201768806400
- 137991201768806400 squared (1379912017688064002) is 19041571765599438536036080680960000
- 137991201768806400 cubed (1379912017688064003) is 2627569371502039247965448735409737691398406144000000
-
The
square root of 137991201768806400 is 371471670.2102683899 -
The
cube root of 137991201768806400 is 516753.9428356085
Scales and comparisons
How big is 137991201768806400?- 137,991,201,768,806,400 seconds is equal to 4,387,693,381 years, 22 weeks, 4 days, 16 hours.
-
To count from 1 to 137,991,201,768,806,400 would take you about thirteen billion, one hundred sixty-three million, eighty thousand, one hundred forty-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 137991201768806400 cubic inches would be around 43062.8 feet tall.
Recreational maths with 137991201768806400
- 137991201768806400 backwards is 004608867102199731
- 137991201768806400 is a
Harshad number . - The number of decimal digits it has is: 18
- The sum of 137991201768806400's digits is 72
- More coming soon!
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"Number 137991201768806400 - Facts about the integer". Numbermatics.com. 2024. Web. 22 September 2024.
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Numbermatics. (2024). Number 137991201768806400 - Facts about the integer. Retrieved 22 September 2024, from https://numbermatics.com/n/137991201768806400/
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The information we have on file for 137991201768806400 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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