137388224512000
137,388,224,512,000 is an even composite number composed of five prime numbers multiplied together.
What does the number 137388224512000 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 1152 divisors.
137388224512000 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one thousand, one hundred fifty-two divisors.
Prime factorization of 137388224512000:
215 × 53 × 7 × 112 × 1992
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 5 × 7 × 11 × 11 × 199 × 199)See below for interesting mathematical facts about the number 137388224512000 from the Numbermatics database.
Names of 137388224512000
- Cardinal: 137388224512000 can be written as One hundred thirty-seven trillion, three hundred eighty-eight billion, two hundred twenty-four million, five hundred twelve thousand.
Scientific notation
- Scientific notation: 1.37388224512 × 1014
Factors of 137388224512000
Divisors of 137388224512000
- Number of divisors d(n): 1152
-
Complete list of divisors:
1 2 4 5 7 8 10 11 14 16 20 22 25 28 32 35 40 44 50 55 56 64 70 77 80 88 100 110 112 121 125 128 140 154 160 175 176 199 200 220 224 242 250 256 275 280 308 320 350 352 385 398 400 440 448 484 500 512 550 560 605 616 640 700 704 770 796 800 847 875 880 896 968 995 1000 1024 1100 1120 1210 1232 1280 1375 1393 1400 1408 1540 1592 1600 1694 1750 1760 1792 1925 1936 1990 2000 2048 2189 2200 2240 2420 2464 2560 2750 2786 2800 2816 3025 3080 3184 3200 3388 3500 3520 3584 3850 3872 3980 4000 4096 4235 4378 4400 4480 4840 4928 4975 5120 5500 5572 5600 5632 6050 6160 6368 6400 6776 6965 7000 7040 7168 7700 7744 7960 8000 8192 8470 8756 8800 8960 9625 9680 9856 9950 10240 10945 11000 11144 11200 11264 12100 12320 12736 12800 13552 13930 14000 14080 14336 15125 15323 15400 15488 15920 16000 16384 16940 17512 17600 17920 19250 19360 19712 19900 20480 21175 21890 22000 22288 22400 22528 24079 24200 24640 24875 25472 25600 27104 27860 28000 28160 28672 30250 30646 30800 30976 31840 32000 32768 33880 34825 35024 35200 35840 38500 38720 39424 39601 39800 40960 42350 43780 44000 44576 44800 45056 48158 48400 49280 49750 50944 51200 54208 54725 55720 56000 56320 57344 60500 61292 61600 61952 63680 64000 67760 69650 70048 70400 71680 76615 77000 77440 78848 79202 79600 81920 84700 87560 88000 89152 89600 90112 96316 96800 98560 99500 101888 102400 105875 108416 109450 111440 112000 112640 114688 120395 121000 122584 123200 123904 127360 128000 135520 139300 140096 140800 143360 153230 154000 154880 157696 158404 159200 163840 168553 169400 174125 175120 176000 178304 179200 180224 192632 193600 197120 198005 199000 203776 204800 211750 216832 218900 222880 224000 225280 229376 240790 242000 245168 246400 247808 254720 256000 271040 273625 277207 278600 280192 281600 286720 306460 308000 309760 315392 316808 318400 337106 338800 348250 350240 352000 356608 358400 360448 383075 385264 387200 394240 396010 398000 407552 409600 423500 433664 435611 437800 445760 448000 450560 481580 484000 490336 492800 495616 509440 512000 542080 547250 554414 557200 560384 563200 573440 601975 612920 616000 619520 630784 633616 636800 674212 677600 696500 700480 704000 713216 716800 766150 770528 774400 788480 792020 796000 815104 819200 842765 847000 867328 871222 875600 891520 896000 901120 963160 968000 980672 985600 990025 991232 1018880 1024000 1084160 1094500 1108828 1114400 1120768 1126400 1146880 1203950 1225840 1232000 1239040 1261568 1267232 1273600 1348424 1355200 1386035 1393000 1400960 1408000 1426432 1433600 1532300 1541056 1548800 1576960 1584040 1592000 1630208 1685530 1694000 1734656 1742444 1751200 1783040 1792000 1802240 1915375 1926320 1936000 1961344 1971200 1980050 1982464 2037760 2048000 2168320 2178055 2189000 2217656 2228800 2241536 2252800 2407900 2451680 2464000 2478080 2523136 2534464 2547200 2696848 2710400 2772070 2786000 2801920 2816000 2852864 2867200 3009875 3049277 3064600 3082112 3097600 3153920 3168080 3184000 3260416 3371060 3388000 3469312 3484888 3502400 3566080 3584000 3830750 3852640 3872000 3922688 3942400 3960100 3964928 4075520 4096000 4213825 4336640 4356110 4378000 4435312 4457600 4483072 4505600 4791721 4815800 4903360 4928000 4950125 4956160 5068928 5094400 5393696 5420800 5544140 5572000 5603840 5632000 5705728 5734400 6019750 6098554 6129200 6164224 6195200 6307840 6336160 6368000 6520832 6742120 6776000 6930175 6938624 6969776 7004800 7132160 7168000 7661500 7705280 7744000 7845376 7884800 7920200 8151040 8427650 8673280 8712220 8756000 8870624 8915200 8966144 9011200 9583442 9631600 9806720 9856000 9900250 9912320 10137856 10188800 10787392 10841600 10890275 11088280 11144000 11207680 11264000 11411456 12039500 12197108 12258400 12328448 12390400 12615680 12672320 12736000 13484240 13552000 13860350 13877248 13939552 14009600 14264320 14336000 15246385 15323000 15410560 15488000 15690752 15769600 15840400 16302080 16855300 17346560 17424440 17512000 17741248 17830400 17932288 19166884 19263200 19613440 19712000 19800500 19824640 20275712 20377600 21069125 21574784 21683200 21780550 22176560 22288000 22415360 22528000 22822912 23958605 24079000 24394216 24516800 24656896 24780800 25344640 25472000 26968480 27104000 27720700 27754496 27879104 28019200 28528640 28672000 30492770 30646000 30821120 30976000 31381504 31539200 31680800 32604160 33542047 33710600 34650875 34693120 34848880 35024000 35482496 35660800 35864576 38333768 38526400 39226880 39424000 39601000 40551424 40755200 42138250 43149568 43366400 43561100 44353120 44576000 44830720 45056000 45645824 47917210 48158000 48788432 49033600 49313792 49561600 50689280 50944000 53936960 54208000 54451375 55441400 55758208 56038400 57057280 60985540 61292000 61642240 61952000 62763008 63078400 63361600 67084094 67421200 69301750 69386240 69697760 70048000 70964992 71321600 71729152 76231925 76667536 77052800 78453760 78848000 79202000 81102848 81510400 84276500 86299136 86732800 87122200 88706240 89152000 89661440 95834420 96316000 97576864 98067200 98627584 99123200 101378560 101888000 107873920 108416000 108902750 110882800 111516416 112076800 114114560 119793025 121971080 122584000 123284480 123904000 125526016 126723200 134168188 134842400 138603500 138772480 139395520 140096000 141929984 142643200 152463850 153335072 154105600 156907520 157696000 158404000 162205696 163020800 167710235 168553000 172598272 173465600 174244400 177412480 178304000 179322880 191668840 192632000 195153728 196134400 197255168 202757120 203776000 215747840 216832000 217805500 221765600 223032832 224153600 228229120 239586050 243942160 245168000 246568960 247808000 251052032 253446400 268336376 269684800 277207000 278791040 280192000 283859968 285286400 304927700 306670144 308211200 313815040 315392000 316808000 324411392 335420470 337106000 345196544 346931200 348488800 354824960 356608000 358645760 381159625 383337680 385264000 390307456 392268800 394510336 405514240 407552000 431495680 433664000 435611000 443531200 446065664 448307200 479172100 487884320 490336000 493137920 495616000 502104064 506892800 536672752 539369600 554414000 557582080 560384000 567719936 570572800 598965125 609855400 613340288 616422400 627630080 633616000 648822784 670840940 674212000 690393088 693862400 696977600 709649920 713216000 762319250 766675360 770528000 780614912 784537600 789020672 811028480 815104000 838551175 862991360 867328000 871222000 887062400 892131328 896614400 958344200 975768640 980672000 986275840 1013785600 1073345504 1078739200 1108828000 1115164160 1120768000 1135439872 1141145600 1197930250 1219710800 1226680576 1232844800 1255260160 1267232000 1297645568 1341681880 1348424000 1380786176 1393955200 1419299840 1426432000 1524638500 1533350720 1541056000 1561229824 1569075200 1622056960 1677102350 1725982720 1734656000 1742444000 1774124800 1784262656 1793228800 1916688400 1951537280 1961344000 1972551680 2027571200 2146691008 2157478400 2217656000 2230328320 2241536000 2270879744 2395860500 2439421600 2453361152 2465689600 2510520320 2534464000 2683363760 2696848000 2761572352 2787910400 2838599680 2852864000 3049277000 3066701440 3082112000 3122459648 3138150400 3244113920 3354204700 3451965440 3469312000 3484888000 3548249600 3568525312 3833376800 3903074560 3922688000 3945103360 4055142400 4192755875 4293382016 4314956800 4435312000 4460656640 4483072000 4541759488 4791721000 4878843200 4906722304 4931379200 5068928000 5366727520 5393696000 5523144704 5575820800 5677199360 5705728000 6098554000 6133402880 6164224000 6244919296 6276300800 6488227840 6708409400 6903930880 6969776000 7096499200 7137050624 7666753600 7806149120 7845376000 8110284800 8385511750 8586764032 8629913600 8870624000 8921313280 8966144000 9083518976 9583442000 9757686400 9813444608 9862758400 10137856000 10733455040 10787392000 11151641600 11354398720 12197108000 12266805760 12328448000 12489838592 12552601600 13416818800 13807861760 13939552000 14192998400 14274101248 15333507200 15612298240 15690752000 16220569600 16771023500 17173528064 17259827200 17741248000 17842626560 19166884000 19515372800 19626889216 19725516800 20275712000 21466910080 21574784000 22303283200 22708797440 24394216000 24533611520 24656896000 24979677184 26833637600 27615723520 27879104000 28385996800 30667014400 31224596480 31381504000 32441139200 33542047000 34347056128 34519654400 35482496000 35685253120 38333768000 39030745600 39253778432 40551424000 42933820160 43149568000 44606566400 45417594880 48788432000 49067223040 49313792000 49959354368 53667275200 55758208000 56771993600 61334028800 62449192960 62763008000 67084094000 68694112256 69039308800 70964992000 71370506240 76667536000 78061491200 78507556864 81102848000 85867640320 86299136000 89213132800 97576864000 98134446080 98627584000 99918708736 107334550400 111516416000 113543987200 122668057600 124898385920 134168188000 137388224512 138078617600 141929984000 153335072000 156122982400 157015113728 162205696000 171735280640 172598272000 178426265600 195153728000 196268892160 214669100800 223032832000 227087974400 245336115200 249796771840 268336376000 274776449024 283859968000 306670144000 312245964800 343470561280 345196544000 356852531200 390307456000 392537784320 429338201600 446065664000 490672230400 499593543680 536672752000 549552898048 567719936000 613340288000 624491929600 686941122560 690393088000 780614912000 785075568640 858676403200 892131328000 981344460800 1073345504000 1099105796096 1135439872000 1226680576000 1248983859200 1373882245120 1561229824000 1717352806400 1784262656000 1962688921600 2146691008000 2453361152000 2497967718400 2747764490240 3122459648000 3434705612800 3925377843200 4293382016000 4906722304000 5495528980480 6244919296000 6869411225600 8586764032000 9813444608000 12489838592000 13738822451200 17173528064000 19626889216000 27477644902400 34347056128000 68694112256000 137388224512000
- Sum of all divisors σ(n): 432945783073440
- Sum of proper divisors (its aliquot sum) s(n): 295557558561440
- 137388224512000 is an abundant number, because the sum of its proper divisors (295557558561440) is greater than itself. Its abundance is 158169334049440
Bases of 137388224512000
- Binary: 111110011110100001100000101000110000000000000002
- Hexadecimal: 0x7CF430518000
- Base-36: 1CP7A1M5TS
Squares and roots of 137388224512000
- 137388224512000 squared (1373882245120002) is 18875524234559717638144000000
- 137388224512000 cubed (1373882245120003) is 2593274761319387436340654246985728000000000
-
The
square root of 137388224512000 is 11721272.3077317845 -
The
cube root of 137388224512000 is 51600.0160887717
Scales and comparisons
How big is 137388224512000?- 137,388,224,512,000 seconds is equal to 4,368,520 years, 29 weeks, 4 days, 9 hours, 46 minutes, 40 seconds.
-
To count from 1 to 137,388,224,512,000 would take you about ten million, nine hundred twenty-one thousand, three hundred one 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 137388224512000 cubic inches would be around 4300 feet tall.
Recreational maths with 137388224512000
- 137388224512000 backwards is 000215422883731
- The number of decimal digits it has is: 15
- The sum of 137388224512000's digits is 46
- More coming soon!
Link to this page
HTML: To link to this page, just copy and paste the link below into your blog, web page or email.
BBCODE: To link to this page in a forum post or comment box, just copy and paste the link code below:
Cite this page
MLA style:
"Number 137388224512000 - Facts about the integer". Numbermatics.com. 2024. Web. 10 May 2024.
APA style:
Numbermatics. (2024). Number 137388224512000 - Facts about the integer. Retrieved 10 May 2024, from https://numbermatics.com/n/137388224512000/
Chicago style:
Numbermatics. 2024. "Number 137388224512000 - Facts about the integer". https://numbermatics.com/n/137388224512000/
The information we have on file for 137388224512000 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!
Keywords: Divisors of 137388224512000, math, Factors of 137388224512000, curriculum, school, college, exams, university, Prime factorization of 137388224512000, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-seven trillion, three hundred eighty-eight billion, two hundred twenty-four million, five hundred twelve thousand.