138581396224000
138,581,396,224,000 is an even composite number composed of five prime numbers multiplied together.
What does the number 138581396224000 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 864 divisors.
138581396224000 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of eight hundred sixty-four divisors.
Prime factorization of 138581396224000:
211 × 53 × 192 × 432 × 811
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 5 × 19 × 19 × 43 × 43 × 811)See below for interesting mathematical facts about the number 138581396224000 from the Numbermatics database.
Names of 138581396224000
- Cardinal: 138581396224000 can be written as One hundred thirty-eight trillion, five hundred eighty-one billion, three hundred ninety-six million, two hundred twenty-four thousand.
Scientific notation
- Scientific notation: 1.38581396224 × 1014
Factors of 138581396224000
Divisors of 138581396224000
- Number of divisors d(n): 864
-
Complete list of divisors:
1 2 4 5 8 10 16 19 20 25 32 38 40 43 50 64 76 80 86 95 100 125 128 152 160 172 190 200 215 250 256 304 320 344 361 380 400 430 475 500 512 608 640 688 722 760 800 811 817 860 950 1000 1024 1075 1216 1280 1376 1444 1520 1600 1622 1634 1720 1805 1849 1900 2000 2048 2150 2375 2432 2560 2752 2888 3040 3200 3244 3268 3440 3610 3698 3800 4000 4055 4085 4300 4750 4864 5120 5375 5504 5776 6080 6400 6488 6536 6880 7220 7396 7600 8000 8110 8170 8600 9025 9245 9500 9728 10240 10750 11008 11552 12160 12800 12976 13072 13760 14440 14792 15200 15409 15523 16000 16220 16340 17200 18050 18490 19000 19456 20275 20425 21500 22016 23104 24320 25600 25952 26144 27520 28880 29584 30400 30818 31046 32000 32440 32680 34400 34873 35131 36100 36980 38000 38912 40550 40850 43000 44032 45125 46208 46225 48640 51200 51904 52288 55040 57760 59168 60800 61636 62092 64000 64880 65360 68800 69746 70262 72200 73960 76000 77045 77615 81100 81700 86000 88064 90250 92416 92450 97280 101375 102125 103808 104576 110080 115520 118336 121600 123272 124184 128000 129760 130720 137600 139492 140524 144400 147920 152000 154090 155230 162200 163400 172000 174365 175655 180500 184832 184900 194560 202750 204250 207616 209152 220160 231040 231125 236672 243200 246544 248368 256000 259520 261440 275200 278984 281048 288800 292771 295840 304000 308180 310460 324400 326800 344000 348730 351310 361000 369664 369800 385225 388075 405500 408500 415232 418304 440320 462080 462250 473344 486400 493088 496736 519040 522880 550400 557968 562096 577600 585542 591680 608000 616360 620920 648800 653600 662587 667489 688000 697460 702620 722000 739328 739600 770450 776150 811000 817000 830464 836608 871825 878275 924160 924500 946688 972800 986176 993472 1038080 1045760 1100800 1115936 1124192 1155200 1171084 1183360 1216000 1232720 1241840 1297600 1307200 1325174 1334978 1376000 1394920 1405240 1444000 1463855 1479200 1499539 1540900 1552300 1622000 1634000 1660928 1673216 1743650 1756550 1848320 1849000 1893376 1926125 1940375 1972352 1986944 2076160 2091520 2201600 2231872 2248384 2310400 2342168 2366720 2432000 2465440 2483680 2595200 2614400 2650348 2669956 2752000 2789840 2810480 2888000 2927710 2958400 2999078 3081800 3104600 3244000 3268000 3312935 3337445 3487300 3513100 3696640 3698000 3786752 3852250 3880750 3944704 3973888 4152320 4183040 4359125 4391375 4463744 4496768 4620800 4684336 4733440 4864000 4930880 4967360 5190400 5228800 5300696 5339912 5504000 5579680 5620960 5776000 5855420 5916800 5998156 6163600 6209200 6488000 6536000 6625870 6674890 6974600 7026200 7319275 7396000 7497695 7704500 7761500 7889408 7947776 8304640 8366080 8718250 8782750 8927488 8993536 9241600 9368672 9466880 9861760 9934720 10380800 10457600 10601392 10679824 11008000 11159360 11241920 11552000 11710840 11833600 11996312 12327200 12418400 12589153 12976000 13072000 13251740 13349780 13949200 14052400 14638550 14792000 14995390 15409000 15523000 15778816 15895552 16564675 16687225 17436500 17565500 17854976 17987072 18483200 18737344 18933760 19723520 19869440 20761600 20915200 21202784 21359648 22318720 22483840 23104000 23421680 23667200 23992624 24654400 24836800 25178306 25952000 26144000 26503480 26699560 27898400 28104800 28491241 29277100 29584000 29990780 30818000 31046000 31557632 31791104 33129350 33374450 34873000 35131000 35709952 35974144 36596375 37474688 37488475 39447040 39738880 41523200 41830400 42405568 42719296 44637440 44967680 46208000 46843360 47334400 47985248 49308800 49673600 50356612 51904000 52288000 53006960 53399120 55796800 56209600 56982482 58554200 59168000 59981560 61636000 62092000 62945765 66258700 66748900 69746000 70262000 71419904 71948288 73192750 74949376 74976950 78894080 79477760 82823375 83436125 84811136 85438592 89274880 89935360 92416000 93686720 94668800 95970496 98617600 99347200 100713224 103808000 104576000 106013920 106798240 111593600 112419200 113964964 117108400 118336000 119963120 123272000 124184000 125891530 132517400 133497800 139492000 140524000 142456205 146385500 149898752 149953900 157788160 158955520 165646750 166872250 169622272 170877184 178549760 179870720 187373440 187442375 191940992 197235200 198694400 201426448 207616000 209152000 212027840 213596480 223187200 224838400 227929928 234216800 236672000 239926240 246544000 248368000 251783060 265034800 266995600 278984000 281048000 284912410 292771000 299797504 299907800 314728825 331293500 333744500 339244544 341754368 357099520 359741440 374746880 374884750 383881984 394470400 397388800 402852896 424055680 427192960 446374400 449676800 455859856 468433600 473344000 479852480 493088000 496736000 503566120 530069600 533991200 541333579 557968000 562096000 569824820 585542000 599595008 599815600 629457650 662587000 667489000 678489088 683508736 712281025 749493760 749769500 767763968 788940800 794777600 805705792 848111360 854385920 892748800 899353600 911719712 936867200 959704960 986176000 993472000 1007132240 1060139200 1067982400 1082667158 1115936000 1124192000 1139649640 1171084000 1199631200 1258915300 1325174000 1334978000 1356978176 1367017472 1424562050 1498987520 1499539000 1535527936 1573644125 1611411584 1696222720 1708771840 1785497600 1798707200 1823439424 1873734400 1919409920 1972352000 1986944000 2014264480 2120278400 2135964800 2165334316 2231872000 2248384000 2279299280 2342168000 2399262400 2517830600 2650348000 2669956000 2706667895 2849124100 2997975040 2999078000 3071055872 3147288250 3222823168 3392445440 3417543680 3561405125 3646878848 3747468800 3838819840 3944704000 3973888000 4028528960 4240556800 4271929600 4330668632 4463744000 4496768000 4558598560 4684336000 4798524800 5035661200 5300696000 5339912000 5413335790 5698248200 5998156000 6294576500 6445646336 6784890880 6835087360 7122810250 7293757696 7494937600 7677639680 8057057920 8481113600 8543859200 8661337264 8927488000 8993536000 9117197120 9368672000 9597049600 10071322400 10601392000 10679824000 10826671580 11396496400 11996312000 12589153000 12891292672 13533339475 14245620500 14587515392 14989875200 15355279360 16114115840 16962227200 17087718400 17322674528 18234394240 18737344000 19194099200 20142644800 21202784000 21359648000 21653343160 22792992800 23992624000 25178306000 25782585344 27066678950 28491241000 29175030784 32228231680 33924454400 34175436800 34645349056 36468788480 37474688000 38388198400 40285289600 42405568000 42719296000 43306686320 45585985600 47985248000 50356612000 54133357900 56982482000 58350061568 64456463360 67666697375 69290698112 72937576960 74949376000 76776396800 80570579200 84811136000 85438592000 86613372640 91171971200 95970496000 100713224000 108266715800 113964964000 128912926720 135333394750 138581396224 145875153920 161141158400 169622272000 170877184000 173226745280 182343942400 191940992000 201426448000 216533431600 227929928000 270666789500 277162792448 291750307840 322282316800 346453490560 364687884800 383881984000 402852896000 433066863200 455859856000 541333579000 554325584896 644564633600 692906981120 729375769600 805705792000 866133726400 911719712000 1082667158000 1108651169792 1385813962240 1458751539200 1611411584000 1732267452800 1823439424000 2165334316000 2771627924480 3222823168000 3464534905600 3646878848000 4330668632000 5543255848960 6929069811200 7293757696000 8661337264000 13858139622400 17322674528000 27716279244800 34645349056000 69290698112000 138581396224000
- Sum of all divisors σ(n): 374119308828720
- Sum of proper divisors (its aliquot sum) s(n): 235537912604720
- 138581396224000 is an abundant number, because the sum of its proper divisors (235537912604720) is greater than itself. Its abundance is 96956516380720
Bases of 138581396224000
- Binary: 111111000001001111111101110010011111000000000002
- Hexadecimal: 0x7E09FEE4F800
- Base-36: 1D4FEX8V0G
Squares and roots of 138581396224000
- 138581396224000 squared (1385813962240002) is 19204803379393281458176000000
- 138581396224000 cubed (1385813962240003) is 2661428466523714534479040740327424000000000
-
The
square root of 138581396224000 is 11772059.9821781405 -
The
cube root of 138581396224000 is 51748.9621454285
Scales and comparisons
How big is 138581396224000?- 138,581,396,224,000 seconds is equal to 4,406,459 years, 38 weeks, 3 days, 4 hours, 26 minutes, 40 seconds.
-
To count from 1 to 138,581,396,224,000 would take you about eleven million, sixteen thousand, one hundred forty-nine 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 138581396224000 cubic inches would be around 4312.4 feet tall.
Recreational maths with 138581396224000
- 138581396224000 backwards is 000422693185831
- The number of decimal digits it has is: 15
- The sum of 138581396224000's digits is 52
- More coming soon!
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The information we have on file for 138581396224000 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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