138837130807048704
138,837,130,807,048,704 is an even composite number composed of four prime numbers multiplied together.
What does the number 138837130807048704 look like?
This visualization shows the relationship between its 4 prime factors (large circles) and 840 divisors.
138837130807048704 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of eight hundred forty divisors.
Prime factorization of 138837130807048704:
29 × 32 × 296 × 373
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 29 × 29 × 29 × 29 × 29 × 29 × 37 × 37 × 37)See below for interesting mathematical facts about the number 138837130807048704 from the Numbermatics database.
Names of 138837130807048704
- Cardinal: 138837130807048704 can be written as One hundred thirty-eight quadrillion, eight hundred thirty-seven trillion, one hundred thirty billion, eight hundred seven million, forty-eight thousand, seven hundred four.
Scientific notation
- Scientific notation: 1.38837130807048704 × 1017
Factors of 138837130807048704
Divisors of 138837130807048704
- Number of divisors d(n): 840
-
Complete list of divisors:
1 2 3 4 6 8 9 12 16 18 24 29 32 36 37 48 58 64 72 74 87 96 111 116 128 144 148 174 192 222 232 256 261 288 296 333 348 384 444 464 512 522 576 592 666 696 768 841 888 928 1044 1073 1152 1184 1332 1369 1392 1536 1682 1776 1856 2088 2146 2304 2368 2523 2664 2738 2784 3219 3364 3552 3712 4107 4176 4292 4608 4736 5046 5328 5476 5568 6438 6728 7104 7424 7569 8214 8352 8584 9472 9657 10092 10656 10952 11136 12321 12876 13456 14208 14848 15138 16428 16704 17168 18944 19314 20184 21312 21904 22272 24389 24642 25752 26912 28416 30276 31117 32856 33408 34336 38628 39701 40368 42624 43808 44544 48778 49284 50653 51504 53824 56832 60552 62234 65712 66816 68672 73167 77256 79402 80736 85248 87616 93351 97556 98568 101306 103008 107648 119103 121104 124468 131424 133632 137344 146334 151959 154512 158804 161472 170496 175232 186702 195112 197136 202612 206016 215296 219501 238206 242208 248936 262848 274688 280053 292668 303918 309024 317608 322944 350464 357309 373404 390224 394272 405224 412032 430592 439002 455877 476412 484416 497872 525696 549376 560106 585336 607836 618048 635216 645888 700928 707281 714618 746808 780448 788544 810448 824064 878004 902393 911754 952824 968832 995744 1051392 1120212 1151329 1170672 1215672 1236096 1270432 1291776 1414562 1429236 1468937 1493616 1560896 1577088 1620896 1648128 1756008 1804786 1823508 1905648 1937664 1991488 2102784 2121843 2240424 2302658 2341344 2431344 2472192 2540864 2707179 2829124 2858472 2937874 2987232 3121792 3154176 3241792 3453987 3512016 3609572 3647016 3811296 3875328 3982976 4243686 4406811 4480848 4605316 4682688 4862688 4944384 5081728 5414358 5658248 5716944 5875748 5974464 6243584 6308352 6365529 6483584 6907974 7024032 7219144 7294032 7622592 7965952 8121537 8487372 8813622 8961696 9210632 9365376 9725376 10163456 10361961 10828716 11316496 11433888 11751496 11948928 12487168 12731058 12967168 13220433 13815948 14048064 14438288 14588064 15245184 15931904 16243074 16974744 17627244 17923392 18421264 18730752 19450752 20326912 20511149 20723922 21657432 22632992 22867776 23502992 23897856 25462116 25934336 26169397 26440866 27631896 28096128 28876576 29176128 30490368 32486148 33388541 33949488 35254488 35846784 36842528 37461504 38901504 41022298 41447844 42599173 43314864 45265984 45735552 47005984 47795712 50924232 52338794 52881732 55263792 56192256 57753152 58352256 60980736 61533447 64972296 66777082 67898976 70508976 71693568 73685056 77803008 78508191 82044596 82895688 85198346 86629728 90531968 91471104 94011968 100165623 101848464 104677588 105763464 110527584 112384512 115506304 116704512 123066894 127797519 129944592 133554164 135797952 141017952 143387136 147370112 157016382 164089192 165791376 170396692 173259456 181063936 182942208 184600341 188023936 200331246 203696928 209355176 211526928 221055168 231012608 233409024 235524573 246133788 255595038 259889184 267108328 271595904 282035904 294740224 300496869 314032764 328178384 331582752 340793384 346518912 362127872 369200682 376047872 383392557 400662492 407393856 418710352 423053856 442110336 462025216 471049146 492267576 511190076 519778368 534216656 543191808 564071808 589480448 594823321 600993738 628065528 656356768 663165504 681586768 693037824 738401364 752095744 758912513 766785114 801324984 814787712 837420704 846107712 884220672 942098292 968267689 984535152 1022380152 1039556736 1068433312 1086383616 1128143616 1189646642 1201987476 1235376017 1256131056 1312713536 1326331008 1363173536 1386075648 1476802728 1517825026 1533570228 1602649968 1629575424 1674841408 1692215424 1768441344 1784469963 1884196584 1936535378 1969070304 2044760304 2079113472 2136866624 2256287232 2276737539 2379293284 2403974952 2470752034 2512262112 2625427072 2652662016 2726347072 2904803067 2953605456 3035650052 3067140456 3205299936 3259150848 3349682816 3384430848 3568939926 3706128051 3768393168 3873070756 3938140608 4089520608 4158226944 4273733248 4553475078 4758586568 4807949904 4941504068 5024524224 5250854144 5305324032 5353409889 5452694144 5809606134 5907210912 6071300104 6134280912 6410599872 6699365632 6768861696 6830212617 7137879852 7412256102 7536786336 7746141512 7876281216 8179041216 8547466496 8714409201 9106950156 9517173136 9615899808 9883008136 10049048448 10501708288 10706819778 10905388288 11118384153 11619212268 11814421824 12142600208 12268561824 12821199744 13398731264 13660425234 14275759704 14824512204 15073572672 15492283024 15752562432 16358082432 17094932992 17428818402 18213900312 19034346272 19231799616 19766016272 20098096896 21413639556 21810776576 22008462877 22236768306 23238424536 23628843648 24285200416 24537123648 25642399488 27320850468 28079762981 28551519408 29649024408 30147145344 30984566048 31505124864 32716164864 34857636804 35825904493 36427800624 38068692544 38463599232 39532032544 40196193792 42827279112 44016925754 44473536612 46476849072 47257687296 48570400832 49074247296 51284798976 54641700936 56159525962 57103038816 59298048816 60294290688 61969132096 65432329728 66025388631 69715273608 71651808986 72855601248 76137385088 76927198464 79064065088 84239288943 85654558224 88033851508 88947073224 92953698144 94515374592 97140801664 98148494592 107477713479 109283401872 112319051924 114206077632 118596097632 120588581376 123938264192 132050777262 139430547216 143303617972 145711202496 152274770176 153854396928 158128130176 168478577886 171309116448 176067703016 177894146448 185907396288 194281603328 196296989184 198076165893 214955426958 218566803744 224638103848 228412155264 237192195264 247876528384 252717866829 264101554524 278861094432 286607235944 291422404992 304549540352 316256260352 322433140437 336957155772 342618232896 352135406032 355788292896 371814792576 388563206656 396152331786 429910853916 437133607488 449276207696 456824310528 474384390528 495753056768 505435733658 528203109048 557722188864 573214471888 582844809984 632512520704 644866280874 673914311544 685236465792 704270812064 711576585792 743629585152 792304663572 814313126449 859821707832 874267214976 898552415392 913648621056 948768781056 1010871467316 1038951230297 1056406218096 1115444377728 1146428943776 1165689619968 1289732561748 1347828623088 1370472931584 1408541624128 1423153171584 1487259170304 1584609327144 1628626252898 1719643415664 1748534429952 1797104830784 1897537562112 2021742934632 2077902460594 2112812436192 2230888755456 2292857887552 2442939379347 2579465123496 2695657246176 2740945863168 2817083248256 2846306343168 3116853690891 3169218654288 3257252505796 3439286831328 3497068859904 3594209661568 4043485869264 4155804921188 4225624872384 4461777510912 4585715775104 4885878758694 5158930246992 5391314492352 5634166496512 5692612686336 6233707381782 6338437308576 6514505011592 6878573662656 7188419323136 7328818138041 8086971738528 8311609842376 8451249744768 9171431550208 9350561072673 9771757517388 10317860493984 10782628984704 11268332993024 12467414763564 12676874617152 13029010023184 13757147325312 14376838646272 14657636276082 16173943477056 16623219684752 16902499489536 18342863100416 18701122145346 19543515034776 20635720987968 21565257969408 24934829527128 25353749234304 26058020046368 27514294650624 29315272552164 30129585678613 32347886954112 33246439369504 33804998979072 37402244290692 39087030069552 41271441975936 43130515938816 49869659054256 50707498468608 52116040092736 55028589301248 58630545104328 60259171357226 64695773908224 66492878739008 74804488581384 78174060139104 82542883951872 90388757035839 99739318108512 101414996937216 104232080185472 117261090208656 120518342714452 129391547816448 132985757478016 149608977162768 156348120278208 165085767903744 180777514071678 199478636217024 208464160370944 234522180417312 241036685428904 265971514956032 271166271107517 299217954325536 312696240556416 361555028143356 398957272434048 416928320741888 469044360834624 482073370857808 531943029912064 542332542215034 598435908651072 625392481112832 723110056286712 797914544868096 938088721669248 964146741715616 1084665084430068 1196871817302144 1250784962225664 1446220112573424 1595829089736192 1876177443338496 1928293483431232 2169330168860136 2393743634604288 2892440225146848 3752354886676992 3856586966862464 4338660337720272 4787487269208576 5784880450293696 7713173933724928 8677320675440544 11569760900587392 15426347867449856 17354641350881088 23139521801174784 34709282701762176 46279043602349568 69418565403524352 138837130807048704
- Sum of all divisors σ(n): 426531493833785340
- Sum of proper divisors (its aliquot sum) s(n): 287694363026736636
- 138837130807048704 is an abundant number, because the sum of its proper divisors (287694363026736636) is greater than itself. Its abundance is 148857232219687932
Bases of 138837130807048704
- Binary: 1111011010011111110100010100001110110001101111010000000002
- Hexadecimal: 0x1ED3FA287637A00
- Base-36: 11Z1NLDY0ZK0
Squares and roots of 138837130807048704
- 138837130807048704 squared (1388371308070487042) is 19275748890733552318486650628079616
- 138837130807048704 cubed (1388371308070487043) is 2676189670146598159499483524466117927634520101617664
-
The
square root of 138837130807048704 is 372608549.0257150611 -
The
cube root of 138837130807048704 is 517807.7465752489
Scales and comparisons
How big is 138837130807048704?- 138,837,130,807,048,704 seconds is equal to 4,414,591,308 years, 11 weeks, 3 days, 16 hours, 38 minutes, 24 seconds.
-
To count from 1 to 138,837,130,807,048,704 would take you about thirteen billion, two hundred forty-three million, seven hundred seventy-three thousand, nine hundred twenty-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 138837130807048704 cubic inches would be around 43150.6 feet tall.
Recreational maths with 138837130807048704
- 138837130807048704 backwards is 407840708031738831
- 138837130807048704 is a
Harshad number . - The number of decimal digits it has is: 18
- The sum of 138837130807048704's digits is 72
- More coming soon!
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"Number 138837130807048704 - Facts about the integer". Numbermatics.com. 2024. Web. 15 June 2024.
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Numbermatics. (2024). Number 138837130807048704 - Facts about the integer. Retrieved 15 June 2024, from https://numbermatics.com/n/138837130807048704/
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The information we have on file for 138837130807048704 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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