137988110904000
137,988,110,904,000 is an even composite number composed of seven prime numbers multiplied together.
What does the number 137988110904000 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 1344 divisors.
137988110904000 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand, three hundred forty-four divisors.
Prime factorization of 137988110904000:
26 × 3 × 53 × 72 × 31 × 1093 × 3463
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 5 × 7 × 7 × 31 × 1093 × 3463)See below for interesting mathematical facts about the number 137988110904000 from the Numbermatics database.
Names of 137988110904000
- Cardinal: 137988110904000 can be written as One hundred thirty-seven trillion, nine hundred eighty-eight billion, one hundred ten million, nine hundred four thousand.
Scientific notation
- Scientific notation: 1.37988110904 × 1014
Factors of 137988110904000
Divisors of 137988110904000
- Number of divisors d(n): 1344
-
Complete list of divisors:
1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 25 28 30 31 32 35 40 42 48 49 50 56 60 62 64 70 75 80 84 93 96 98 100 105 112 120 124 125 140 147 150 155 160 168 175 186 192 196 200 210 217 224 240 245 248 250 280 294 300 310 320 336 350 372 375 392 400 420 434 448 465 480 490 496 500 525 560 588 600 620 651 672 700 735 744 750 775 784 800 840 868 875 930 960 980 992 1000 1050 1085 1093 1120 1176 1200 1225 1240 1302 1344 1400 1470 1488 1500 1519 1550 1568 1600 1680 1736 1750 1860 1960 1984 2000 2100 2170 2186 2240 2325 2352 2400 2450 2480 2604 2625 2800 2940 2976 3000 3038 3100 3136 3255 3279 3360 3463 3472 3500 3675 3720 3875 3920 4000 4200 4340 4372 4557 4650 4704 4800 4900 4960 5208 5250 5425 5465 5600 5880 5952 6000 6076 6125 6200 6510 6558 6720 6926 6944 7000 7350 7440 7595 7651 7750 7840 8000 8400 8680 8744 9114 9300 9408 9800 9920 10389 10416 10500 10850 10930 11200 11625 11760 12000 12152 12250 12400 13020 13116 13852 13888 14000 14700 14880 15190 15302 15500 15680 16275 16395 16800 17315 17360 17488 18228 18375 18600 19600 20778 20832 21000 21700 21860 22785 22953 23250 23520 24000 24241 24304 24500 24800 26040 26232 27125 27325 27704 28000 29400 29760 30380 30604 31000 32550 32790 33600 33883 34630 34720 34976 36456 36750 37200 37975 38255 39200 41556 41664 42000 43400 43720 45570 45906 46500 47040 48482 48608 49000 49600 51945 52080 52464 53557 54250 54650 55408 56000 58800 60760 61208 62000 65100 65580 67766 69260 69440 69952 72723 72912 73500 74400 75950 76510 78400 81375 81975 83112 84000 86575 86800 87440 91140 91812 93000 96964 97216 98000 101649 103890 104160 104928 107114 107353 108500 109300 110816 113925 114765 117600 121205 121520 122416 124000 130200 131160 135532 136625 138520 145446 145824 147000 148800 151900 153020 160671 162750 163950 166224 168000 169415 169687 173150 173600 174880 182280 183624 186000 189875 191275 193928 196000 203298 207780 208320 209856 214228 214706 217000 218600 221632 227850 229530 235200 237181 242410 243040 244832 248000 259725 260400 262320 267785 271064 273250 277040 290892 291648 294000 303800 306040 321342 322059 325500 327900 332448 338830 339374 346300 347200 349760 363615 364560 367248 372000 379750 382550 387856 392000 406596 409875 415560 428456 429412 432875 434000 437200 455700 459060 474362 484820 486080 489664 508245 509061 519450 520800 524640 535570 536765 542128 546500 554080 569625 573825 581784 588000 606025 607600 612080 642684 644118 651000 655800 664896 677660 678748 692600 711543 727230 729120 734496 744000 751471 759500 765100 775712 803355 813192 819750 831120 847075 848435 856912 858824 865750 868000 874400 911400 918120 948724 956375 969640 1016490 1018122 1038900 1041600 1049280 1071140 1073530 1084256 1093000 1108160 1139250 1147650 1163568 1176000 1185905 1212050 1215200 1224160 1285368 1288236 1298625 1302000 1311600 1338925 1355320 1357496 1385200 1423086 1454460 1458240 1468992 1502942 1519000 1530200 1551424 1606710 1610295 1626384 1639500 1660267 1662240 1694150 1696870 1713824 1717648 1731500 1736000 1748800 1818075 1822800 1836240 1897448 1912750 1939280 2032980 2036244 2077800 2142280 2147060 2168512 2186000 2254413 2278500 2295300 2327136 2371810 2424100 2430400 2448320 2541225 2545305 2570736 2576472 2597250 2604000 2623200 2677850 2683825 2710640 2714992 2770400 2846172 2869125 2908920 3005884 3030125 3038000 3060400 3213420 3220590 3252768 3279000 3320534 3324480 3388300 3393740 3427648 3435296 3463000 3557715 3636150 3645600 3672480 3757355 3785059 3794896 3825500 3878560 4016775 4065960 4072488 4155600 4235375 4242175 4284560 4294120 4372000 4508826 4557000 4590600 4654272 4743620 4848200 4980801 5082450 5090610 5141472 5152944 5194500 5208000 5246400 5260297 5355700 5367650 5421280 5429984 5540800 5692344 5738250 5817840 5929525 6011768 6060250 6076000 6120800 6426840 6441180 6505536 6558000 6641068 6694625 6776600 6787480 6870592 6926000 7115430 7272300 7291200 7344960 7514710 7570118 7589792 7651000 7757120 8033550 8051475 8131920 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556403673 563603250 567758850 569234400 581784000 586684145 601176800 605609440 622600125 631235640 635889912 642684000 644118000 657537125 662385325 664106800 678748000 704020974 711543000 721412160 726731328 741871564 751471000 757011800 789044550 794862390 796928160 813192000 814497600 821357803 830133500 841647520 847853216 858824000 901765200 908414160 927339455 938694632 946264750 948724000 996160200 1009977024 1018122000 1052059400 1059816520 1112807346 1127206500 1135517700 1138468800 1173368290 1202353600 1211218880 1245200250 1262471280 1271779824 1285368000 1288236000 1315074250 1324770650 1328213600 1357496000 1408041948 1419397125 1423086000 1483743128 1502942000 1514023600 1578089100 1589724780 1593856320 1642715606 1660267000 1683295040 1695706432 1760052435 1803530400 1816828320 1854678910 1877389264 1892529500 1897448000 1972611375 1987155975 1992320400 2036244000 2104118800 2119633040 2225614692 2254413000 2271035400 2346736580 2464073409 2490400500 2524942560 2543559648 2576472000 2630148500 2649541300 2656427200 2782018365 2816083896 2838794250 2846172000 2933420725 2967486256 3005884000 3028047200 3156178200 3179449560 3285431212 3311926625 3320534000 3520104870 3607060800 3633656640 3709357820 3754778528 3785059000 3945222750 3974311950 3984640800 4072488000 4106789015 4208237600 4239266080 4451229384 4508826000 4542070800 4636697275 4693473160 4928146818 4980801000 5049885120 5087119296 5260297000 5299082600 5564036730 5632167792 5677588500 5692344000 5749504621 5866841450 5934972512 6011768000 6056094400 6312356400 6358899120 6570862424 6623853250 6641068000 7040209740 7418715640 7509557056 7570118000 7890445500 7948623900 7969281600 8213578030 8416475200 8478532160 8800262175 8902458768 9017652000 9084141600 9273394550 9386946320 9856293636 9935779875 9961602000 10520594000 10598165200 11128073460 11264335584 11355177000 11499009242 11733682900 11869945024 12320367045 12624712800 12717798240 13141724848 13247706500 13282136000 13910091825 14080419480 14667103625 14837431280 15140236000 15780891000 15897247800 16427156060 17248513863 17600524350 17804917536 18035304000 18168283200 18546789100 18773892640 19712587272 19871559750 19923204000 20533945075 21041188000 21196330400 22256146920 22528671168 22710354000 22998018484 23183486375 23467365800 24640734090 25249425600 25435596480 26283449696 26495413000 27820183650 28160838960 28747523105 29334207250 29674862560 30280472000 31561782000 31794495600 32854312120 34497027726 35201048700 35609835072 37093578200 37547785280 39425174544 39743119500 39846408000 41067890150 42082376000 42392660800 44001310875 44512293840 45420708000 45996036968 46366972750 46934731600 49281468180 52566899392 52990826000 55640367300 56321677920 57495046210 58668414500 59349725120 61601835225 63123564000 63588991200 65708624240 68994055452 69550459125 70402097400 74187156400 78850349088 79486239000 82135780300 86242569315 88002621750 89024587680 90841416000 91992073936 92733945500 93869463200 98562936360 102669725375 105981652000 111280734600 112643355840 114990092420 117336829000 123203670450 126247128000 127177982400 131417248480 137988110904 139100918250 140804194800 143737615525 148374312800 157700698176 158972478000 164271560600 172485138630 176005243500 178049175360 183984147872 185467891000 187738926400 197125872720 205339450750 211963304000 222561469200 229980184840 234673658000 246407340900 262834496960 275976221808 278201836500 281608389600 287475231050 296748625600 308009176125 317944956000 328543121200 344970277260 352010487000 367968295744 370935782000 394251745440 410678901500 431212846575 445122938400 459960369680 469347316000 492814681800 551952443616 556403673000 563216779200 574950462100 616018352250 635889912000 657086242400 689940554520 704020974000 718688077625 741871564000 788503490880 821357803000 862425693150 890245876800 919920739360 938694632000 985629363600 1103904887232 1112807346000 1149900924200 1232036704500 1314172484800 1379881109040 1408041948000 1437376155250 1483743128000 1642715606000 1724851386300 1839841478720 1971258727200 2156064232875 2225614692000 2299801848400 2464073409000 2759762218080 2816083896000 2874752310500 3285431212000 3449702772600 3942517454400 4312128465750 4451229384000 4599603696800 4928146818000 5519524436160 5749504621000 6570862424000 6899405545200 8624256931500 9199207393600 9856293636000 11499009242000 13798811090400 17248513863000 19712587272000 22998018484000 27597622180800 34497027726000 45996036968000 68994055452000 137988110904000
- Sum of all divisors σ(n): 547782747512832
- Sum of proper divisors (its aliquot sum) s(n): 409794636608832
- 137988110904000 is an abundant number, because the sum of its proper divisors (409794636608832) is greater than itself. Its abundance is 271806525704832
Bases of 137988110904000
- Binary: 111110101111111110111000101010101101010110000002
- Hexadecimal: 0x7D7FDC556AC0
- Base-36: 1CWUV2HGAO
Squares and roots of 137988110904000
- 137988110904000 squared (1379881109040002) is 19040718750854603697216000000
- 137988110904000 cubed (1379881109040003) is 2627392810684797399750409844043264000000000
-
The
square root of 137988110904000 is 11746834.0800404599 -
The
cube root of 137988110904000 is 51675.0084549765
Scales and comparisons
How big is 137988110904000?- 137,988,110,904,000 seconds is equal to 4,387,595 years, 5 weeks, 1 day, 22 hours, 40 minutes.
-
To count from 1 to 137,988,110,904,000 would take you about ten million, nine hundred sixty-eight thousand, nine hundred eighty-seven 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 137988110904000 cubic inches would be around 4306.3 feet tall.
Recreational maths with 137988110904000
- 137988110904000 backwards is 000409011889731
- The number of decimal digits it has is: 15
- The sum of 137988110904000's digits is 51
- More coming soon!
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Cite this page
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Numbermatics. (2024). Number 137988110904000 - Facts about the integer. Retrieved 18 June 2024, from https://numbermatics.com/n/137988110904000/
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The information we have on file for 137988110904000 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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