138280403739290120
138,280,403,739,290,120 is an even composite number composed of six prime numbers multiplied together.
What does the number 138280403739290120 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 864 divisors.
138280403739290120 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of eight hundred sixty-four divisors.
Prime factorization of 138280403739290120:
23 × 5 × 72 × 112 × 533 × 19792
(2 × 2 × 2 × 5 × 7 × 7 × 11 × 11 × 53 × 53 × 53 × 1979 × 1979)See below for interesting mathematical facts about the number 138280403739290120 from the Numbermatics database.
Names of 138280403739290120
- Cardinal: 138280403739290120 can be written as One hundred thirty-eight quadrillion, two hundred eighty trillion, four hundred three billion, seven hundred thirty-nine million, two hundred ninety thousand, one hundred twenty.
Scientific notation
- Scientific notation: 1.3828040373929012 × 1017
Factors of 138280403739290120
Divisors of 138280403739290120
- Number of divisors d(n): 864
-
Complete list of divisors:
1 2 4 5 7 8 10 11 14 20 22 28 35 40 44 49 53 55 56 70 77 88 98 106 110 121 140 154 196 212 220 242 245 265 280 308 371 385 392 424 440 484 490 530 539 583 605 616 742 770 847 968 980 1060 1078 1166 1210 1484 1540 1694 1855 1960 1979 2120 2156 2332 2420 2597 2695 2809 2915 2968 3080 3388 3710 3958 4081 4235 4312 4664 4840 5194 5390 5618 5830 5929 6413 6776 7420 7916 8162 8470 9895 10388 10780 11236 11660 11858 12826 12985 13853 14045 14840 15832 16324 16940 19663 19790 20405 20776 21560 21769 22472 23320 23716 25652 25970 27706 28090 28567 29645 30899 32065 32648 33880 39326 39580 40810 43538 44891 47432 51304 51940 55412 56180 57134 59290 61798 64130 69265 78652 79160 81620 87076 89782 96971 98315 103880 104887 108845 110824 112360 114268 118580 123596 128260 137641 138530 142835 148877 152383 154495 157304 163240 174152 179564 193942 196630 209774 216293 217690 224455 228536 237160 239459 247192 256520 275282 277060 285670 297754 304766 308990 314237 339889 359128 387884 393260 419548 432586 435380 448910 478918 484855 524435 550564 554120 571340 595508 609532 617980 628474 679778 688205 734209 744385 761915 775768 786520 839096 865172 870760 897820 957836 969710 1042139 1048870 1066681 1081465 1101128 1142680 1153757 1191016 1197295 1219064 1235960 1256948 1359556 1376410 1468418 1488770 1514051 1523830 1571185 1637647 1676213 1699445 1730344 1795640 1915672 1939420 2084278 2097740 2133362 2162930 2307514 2379223 2394590 2513896 2719112 2752820 2936836 2977540 3028102 3047660 3142370 3275294 3352426 3398890 3671045 3878840 3916441 4168556 4195480 4266724 4325860 4615028 4758446 4789180 5139463 5210695 5333405 5505640 5559011 5768785 5873672 5955080 6056204 6095320 6284740 6550588 6704852 6797780 7294973 7342090 7570255 7832882 8076299 8188235 8337112 8381065 8533448 8651720 9230056 9516892 9578360 10278926 10421390 10666810 11118022 11463529 11537570 11733491 11896115 12112408 12569480 12691327 13101176 13409704 13595560 14589946 14684180 15140510 15665764 16152598 16376470 16654561 16762130 18014117 19033784 19582205 20557852 20842780 21333620 22236044 22927058 23075140 23466982 23792230 25382654 25697315 27415087 27795055 29179892 29368360 30281020 31331528 32305196 32752940 33309122 33524260 36028234 36474865 38913077 39164410 40381495 41115704 41685560 42667240 43080851 44472088 45854116 46150280 46933964 47584460 50765308 51394630 54830174 55590110 56534093 57317645 58359784 58667455 60562040 61149121 63456635 64610392 65505880 66618244 67048520 72056468 72949730 77826154 78328820 80244703 80762990 83272805 86161702 88839289 90070585 91708232 93867928 95168920 101530616 102789260 109660348 111180220 113068186 114635290 117334910 122298242 126098819 126913270 133236488 137075435 144112936 145899460 155652308 156657640 160489406 161525980 166545610 172323404 177678578 180141170 191905609 194565385 205578520 207571373 215404255 219320696 222360440 226136372 229270580 234669820 244596484 252197638 253826540 272391539 274150870 282670465 291798920 294627583 301565957 305745605 311304616 320978812 323051960 333091220 344646808 355357156 360282340 383811218 389130770 401223515 415142746 428043847 430808510 444196445 452272744 458541160 469339640 473889361 489192968 504395276 507653080 544783078 548301740 565340930 589255166 603131914 611491210 621875023 630494095 641957624 666182440 672640331 710714312 720564680 767622436 778261540 802447030 830285492 856087694 861617020 882691733 888392890 947778722 959528045 1008790552 1037856865 1089566156 1096603480 1130681860 1178510332 1206263828 1222982420 1243750046 1260988190 1345280662 1361957695 1452999611 1473137915 1507829785 1535244872 1556523080 1604894060 1660570984 1712175388 1723234040 1765383466 1776785780 1895557444 1919056090 2062393081 2075713730 2110961699 2140219235 2179132312 2261363720 2283285103 2357020664 2369446805 2412527656 2445964840 2487500092 2521976380 2690561324 2723915390 2905999222 2946275830 2996306929 3015659570 3109375115 3209788120 3240903413 3317225527 3363201655 3424350776 3530766932 3553571560 3791114888 3838112180 4124786162 4151427460 4221923398 4280438470 4413458665 4566570206 4708482317 4738893610 4975000184 5043952760 5381122648 5447830780 5811998444 5892551660 5992613858 6031319140 6218750230 6481806826 6634451054 6726403310 7061533864 7264998055 7676224360 8249572324 8302854920 8443846796 8560876940 8826917330 9133140412 9416964634 9477787220 10170997277 10311965405 10554808495 10895661560 11001282769 11416425515 11623996888 11785103320 11985227716 12062638280 12437500460 12963613652 13268902108 13452806620 14436751567 14529996110 14981534645 15982995721 16204517065 16499144648 16586127635 16887693592 17121753880 17653834660 18266280824 18833929268 18955574440 20341994554 20623930810 21109616990 22002565538 22686323891 22832851030 23220578689 23542411585 23970455432 24875000920 25116136133 25927227304 26537804216 26905613240 28873503134 29059992220 29963069290 31965991442 32409034130 32959376219 33172255270 35307669320 35649937543 37667858536 40683989108 41247861620 42219233980 44005131076 45372647782 45665702060 46441157378 47084823170 50232272266 50854986385 55006413845 57747006268 58119984440 59926138580 63931982884 64818068260 65918752438 66344510540 71299875086 72183757835 77008979383 79914978605 81367978216 82495723240 84438467960 88010262152 90745295564 91331404120 92882314756 94169646340 100464544532 101709972770 110012827690 111880970047 113431619455 115494012536 116102893445 119852277160 121014110459 125580680665 127863965768 129636136520 131837504876 132689021080 142599750172 144367515670 154017958766 158804267237 159829957210 164796881095 175812952931 178249687715 181490591128 185764629512 188339292680 200929089064 203419945540 220025655380 223761940094 226863238910 232205786890 242028220918 249549562801 251161361330 263675009752 285199500344 288735031340 308035917532 317608534474 319659914420 329593762190 351625905862 356499375430 385044896915 406839891080 440051310760 447523880188 453726477820 464411573780 484056441836 499099125602 502322722660 539062855681 559404850235 577470062680 583067986757 605070552295 616071835064 635217068948 639319828840 659187524380 703251811724 712998750860 770089793830 794021336185 847098773213 879064764655 895047760376 907452955640 928823147560 968112883672 998198251204 1004645445320 1078125711362 1118809700470 1166135973514 1210141104590 1230690670517 1247747814005 1270434137896 1318375048760 1331155215049 1406503623448 1425997501720 1540179587660 1588042672370 1694197546426 1746846939607 1758129529310 1996396502408 2156251422724 2237619400940 2332271947028 2420282209180 2461381341034 2495495628010 2662310430098 2695314278405 2915339933785 3080359175320 3176085344740 3388395092852 3493693879214 3516259058620 4081475907299 4235493866065 4312502845448 4475238801880 4664543894056 4840564418360 4922762682068 4990991256020 5324620860196 5390628556810 5830679867570 5929691412491 6153453352585 6352170689480 6413747854327 6655776075245 6776790185704 6987387758428 7032518117240 8162951814598 8470987732130 8734234698035 9318086505343 9845525364136 9981982512040 10649241720392 10781257113620 11661359735140 11859382824982 12306906705170 12827495708654 13311552150490 13974775516856 16325903629196 16941975464260 17468469396070 18636173010686 20407379536495 21562514227240 23322719470280 23718765649964 24613813410340 25654991417308 26623104300980 28570331351093 29648457062455 32068739271635 32651807258392 33883950928520 34936938792140 37272346021372 40814759072990 44896234980289 46590432526715 47437531299928 49227626820680 51309982834616 53246208601960 57140662702186 59296914124910 64137478543270 65226605537401 69873877584280 70551226397597 74544692042744 81629518145980 89792469960578 93180865053430 114281325404372 118593828249820 128274957086540 130453211074802 141102452795194 142851656755465 163259036291960 179584939921156 186361730106860 224481174901445 228562650808744 237187656499640 256549914173080 260906422149604 282204905590388 285703313510930 314273644862023 326133027687005 352756131987985 359169879842312 372723460213720 448962349802890 493858584783179 521812844299208 564409811180776 571406627021860 628547289724046 652266055374010 705512263975970 897924699605780 987717169566358 1142813254043720 1257094579448092 1304532110748020 1411024527951940 1571368224310115 1795849399211560 1975434339132716 2469292923915895 2514189158896184 2609064221496040 2822049055903880 3142736448620230 3457010093482253 3950868678265432 4938585847831790 6285472897240460 6914020186964506 9877171695663580 12570945794480920 13828040373929012 17285050467411265 19754343391327160 27656080747858024 34570100934822530 69140201869645060 138280403739290120
- Sum of all divisors σ(n): 405676808681016600
- Sum of proper divisors (its aliquot sum) s(n): 267396404941726480
- 138280403739290120 is an abundant number, because the sum of its proper divisors (267396404941726480) is greater than itself. Its abundance is 129116001202436360
Bases of 138280403739290120
- Binary: 1111010110100010101001011011010000100011100101010000010002
- Hexadecimal: 0x1EB454B68472A08
- Base-36: 11TKB8I45FK8
Squares and roots of 138280403739290120
- 138280403739290120 squared (1382804037392901202) is 19121470058301081001586601529614400
- 138280403739290120 cubed (1382804037392901203) is 2644124599750620870212852068708174501824013329728000
-
The
square root of 138280403739290120 is 371860731.6446442427 -
The
cube root of 138280403739290120 is 517114.6952479357
Scales and comparisons
How big is 138280403739290120?- 138,280,403,739,290,120 seconds is equal to 4,396,889,109 years, 27 weeks, 6 days, 9 hours, 55 minutes, 20 seconds.
-
To count from 1 to 138,280,403,739,290,120 would take you about thirteen billion, one hundred ninety million, six hundred sixty-seven thousand, three hundred twenty-eight 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 138280403739290120 cubic inches would be around 43092.9 feet tall.
Recreational maths with 138280403739290120
- 138280403739290120 backwards is 021092937304082831
- The number of decimal digits it has is: 18
- The sum of 138280403739290120's digits is 62
- More coming soon!
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"Number 138280403739290120 - Facts about the integer". Numbermatics.com. 2024. Web. 13 May 2024.
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The information we have on file for 138280403739290120 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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