138390822070800
138,390,822,070,800 is an even composite number composed of nine prime numbers multiplied together.
What does the number 138390822070800 look like?
This visualization shows the relationship between its 9 prime factors (large circles) and 1920 divisors.
138390822070800 is an even composite number. It is composed of nine distinct prime numbers multiplied together. It has a total of one thousand, nine hundred twenty divisors.
Prime factorization of 138390822070800:
24 × 3 × 52 × 13 × 17 × 31 × 37 × 601 × 757
(2 × 2 × 2 × 2 × 3 × 5 × 5 × 13 × 17 × 31 × 37 × 601 × 757)See below for interesting mathematical facts about the number 138390822070800 from the Numbermatics database.
Names of 138390822070800
- Cardinal: 138390822070800 can be written as One hundred thirty-eight trillion, three hundred ninety billion, eight hundred twenty-two million, seventy thousand, eight hundred.
Scientific notation
- Scientific notation: 1.383908220708 × 1014
Factors of 138390822070800
Divisors of 138390822070800
- Number of divisors d(n): 1920
-
Complete list of divisors:
1 2 3 4 5 6 8 10 12 13 15 16 17 20 24 25 26 30 31 34 37 39 40 48 50 51 52 60 62 65 68 74 75 78 80 85 93 100 102 104 111 120 124 130 136 148 150 155 156 170 185 186 195 200 204 208 221 222 240 248 255 260 272 296 300 310 312 325 340 370 372 390 400 403 408 425 442 444 465 481 496 510 520 527 555 592 600 601 620 624 629 650 663 680 740 744 757 775 780 806 816 850 884 888 925 930 962 975 1020 1040 1054 1105 1110 1147 1200 1202 1209 1240 1258 1275 1300 1326 1360 1443 1480 1488 1514 1550 1560 1581 1612 1700 1768 1776 1803 1850 1860 1887 1924 1950 2015 2040 2108 2210 2220 2271 2294 2325 2404 2405 2418 2480 2516 2550 2600 2635 2652 2775 2886 2960 3005 3028 3100 3120 3145 3162 3224 3315 3400 3441 3536 3606 3700 3720 3774 3785 3848 3900 4030 4080 4216 4420 4440 4542 4588 4650 4808 4810 4836 5032 5100 5200 5270 5304 5525 5550 5735 5772 6010 6045 6056 6200 6290 6324 6448 6630 6800 6851 6882 7212 7215 7400 7440 7548 7570 7696 7800 7813 7905 8060 8177 8432 8840 8880 9015 9084 9176 9300 9435 9616 9620 9672 9841 10064 10075 10200 10217 10540 10608 11050 11100 11355 11470 11544 12020 12025 12090 12112 12400 12580 12648 12869 13175 13260 13702 13764 14424 14430 14800 14911 15025 15096 15140 15600 15626 15725 15810 16120 16354 16575 17205 17680 18030 18168 18352 18600 18631 18870 18925 19240 19344 19499 19682 20150 20400 20434 20553 21080 22100 22200 22237 22710 22940 23088 23439 23467 24040 24050 24180 24531 25160 25296 25738 26350 26520 27404 27528 28009 28675 28848 28860 29523 29822 30050 30192 30225 30280 30651 31252 31450 31620 32240 32708 33150 34255 34410 36060 36075 36336 37200 37262 37740 37850 38480 38607 38998 39065 39364 39525 40300 40868 40885 41106 42160 44200 44400 44474 44733 45075 45420 45880 46878 46934 47175 48080 48100 48360 49062 49205 50320 51085 51476 52700 53040 54808 55056 55893 56018 56775 57350 57720 58497 59046 59644 60100 60450 60560 61302 62504 62900 63240 64345 65416 66300 66711 68510 68820 70401 72120 72150 74524 74555 75480 75700 77214 77996 78130 78728 79050 80600 81736 81770 82212 84027 86025 88400 88948 89466 90150 90840 91760 93155 93756 93868 94350 96200 96720 97495 98124 98410 102170 102765 102952 105400 109616 111185 111786 112036 113550 114700 115440 116994 117195 117335 118092 119288 120200 120900 122604 122655 125008 125800 126480 128690 130832 132600 132821 133422 137020 137640 140045 140802 144240 144300 147615 149048 149110 150960 151400 153255 154428 155992 156260 157456 158100 161200 163472 163540 164424 167297 168054 171275 172050 177896 178932 180300 181680 186310 187512 187736 188700 192400 193035 194990 195325 196248 196820 204340 204425 205530 205904 210800 222370 223572 223665 224072 227100 229400 233988 234390 234670 236184 238576 240400 241800 242203 245208 245310 246025 251600 253487 255425 257380 265200 265642 266844 274040 275280 279465 280090 281604 288600 289081 292485 295230 298096 298220 302800 305071 306510 308856 311984 312520 316200 316727 321725 327080 328848 333555 334594 336108 342550 344100 352005 355792 357864 360600 364117 372620 372775 375024 375472 377400 378029 386070 389980 390650 392496 393640 398463 398939 408680 408850 411060 420135 444740 447144 447330 448144 454200 454957 458800 465775 467976 468780 469340 472368 476153 483600 484406 487475 490416 490620 492050 501891 506974 510850 513825 514760 531284 533688 548080 555925 558930 560180 563208 577200 578162 584970 585975 586675 590460 596440 610142 613020 613275 617712 625040 632400 633454 643450 654160 664105 667110 669188 672216 685100 688200 689347 700225 704010 715728 721200 726609 728234 738075 745240 745550 754800 756058 760461 766275 772140 779960 781300 787280 796926 797878 817360 817700 822120 836485 840270 867243 868279 889480 894288 894660 908400 909914 915213 931550 935952 937560 938680 950181 952306 965175 968812 974950 981240 984100 1003782 1013948 1021700 1027650 1029520 1062568 1067376 1092351 1111850 1117860 1118325 1120360 1126416 1134087 1156324 1169940 1171950 1173350 1180920 1192880 1196817 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58594495 58972524 59042972 59144410 59840850 60836880 61014200 61761765 61874152 61899890 62234484 63345400 65120925 65879216 66918800 67333636 67725762 68243550 68934700 69379440 69462320 70313394 70518335 70973292 71422950 71692088 72660900 72823400 73217040 73715655 73803715 74279868 75605800 76014480 76046100 77342690 77793105 78630032 79692600 79787800 82349020 82721640 82979312 84167045 84622002 86724300 86827900 87388080 88564458 88716615 89615110 90301016 90726960 90991400 91521300 92811228 92849835 93751192 94631056 95018100 95230600 95745360 96881200 98287540 98818824 99039824 100378200 100545497 101000454 101394800 102936275 103402050 103724140 104193480 107538132 109189680 109235100 112829336 112876270 113408700 114276720 115632400 116014035 117188990 117945048 118085944 118288820 119681700 122028400 122859425 123523530 123748304 123799780 124468968 126690800 129655175 130241850 134422665 134667272 135451524 136487100 137869400 140626788 141036670 141946584 142845900 143384176 145321800 145646800 147431310 147607430 147861025 148559736 151211600 152092200 152345687 154685380 154749725 155586210 159385200 159575600 164698040 165443280 168334090 169244004 169314405 173448600 173655800 175783485 177128916 177433230 179230220 180602032 181982800 183042600 183347671 185622456 185699670 187502384 190036200 190461200 191889659 193356725 196575080 197637648 200756400 201090994 202000908 205872550 206804100 207448280 208386960 211555005 215076264 218470200 218834317 221411145 224037775 225658672 225752540 226817400 232028070 234377980 235890096 236171888 236577640 239363400 239762339 245718850 247047060 247599560 248937936 252501135 259310350 260483700 268845330 269334544 270903048 272974200 275738800 281253576 282073340 282190675 283893168 285691800 286167953 290643600 292972475 294862620 295214860 295722050 297119472 301636491 304184400 304691374 308808825 309370760 309499450 311172420 329396080 336668180 338488008 338628810 346897200 347311600 351566970 352591675 354257832 354866460 358460440 366085200 366695342 368578275 369018575 371244912 371399340 380072400 383779318 386713450 388965525 393150160 402181988 404001816 411745100 413608200 414896560 420835225 423110010 430152528 436940400 437668634 442822290 443583075 448075550 451505080 453634800 457037061 464056140 464249175 468755960 473155280 478726800 479524678 491437700 494094120 495199120 502727485 505002270 518620700 520967400 521835679 537690660 541806096 545948400 550043013 562507152 564146680 564381350 571383600 572335906 575668977 580070175 585944950 589725240 590429720 591444100 603272982 609382748 617617650 618741520 618998900 622344840 656502951 672113325 673336360 676976016 677257620 703133940 705183350 708515664 709732920 716920880 719287017 733390684 737156550 738037150 742798680 761728435 767558636 773426900 777931050 804363976 808003632 823490200 827216400 841670450 846220020 846572025 858503859 875337268 878917425 885644580 887166150 896151100 903010160 914074122 916738355 928112280 928498350 937511920 959049356 959448295 982875400 988188240 1005454970 1010004540 1037241400 1041934800 1043671358 1057775025 1075381320 1094171585 1100086026 1107055725 1128293360 1128762700 1144671812 1151337954 1160140350 1171889900 1179450480 1180859440 1182888200 1198811695 1206545964 1218765496 1235235300 1237997800 1244689680 1262505675 1313005902 1344226650 1346672720 1354515240 1406267880 1410366700 1419465840 1430839765 1438574034 1466781368 1474313100 1476074300 1485597360 1508182455 1523456870 1535117272 1546853800 1555862100 1565507037 1608727952 1646980400 1683340900 1692440040 1693144050 1717007718 1750674536 1757834850 1771289160 1774332300 1792302200 1828148244 1833476710 1856224560 1856996700 1918098712 1918896590 1965750800 2010909940 2020009080 2074482800 2087342716 2115550050 2150762640 2188343170 2200172052 2214111450 2257525400 2285185305 2289343624 2302675908 2320280700 2343779800 2365776400 2397623390 2413091928 2437530992 2470470600 2475995600 2513637425 2525011350 2609178395 2626011804 2688453300 2709030480 2750215065 2812535760 2820733400 2861679530 2877148068 2878344885 2933562736 2948626200 2952148600 3016364910 3046913740 3070234544 3093707600 3111724200 3116910407 3131014074 3282514755 3366681800 3384880080 3386288100 3434015436 3501349072 3515669700 3542578320 3548664600 3584604400 3596435085 3656296488 3666953420 3713993400 3720183389 3808642175 3836197424 3837793180 4021819880 4040018160 4174685432 4231100100 4292519295 4376686340 4400344104 4428222900 4515050800 4570370610 4578687248 4583691775 4605351816 4640561400 4687559600 4795246780 4797241475 4826183856 4940941200 5027274850 5050022700 5218356790 5252023608 5376906600 5470857925 5500430130 5641466800 5723359060 5754296136 5756689770 5897252400 5904297200 5994058475 6032729820 6093827480 6223448400 6233820814 6262028148 6565029510 6733363600 6772576200 6783863827 6868030872 7031339400 7097329200 7154198825 7192870170 7312592976 7333906840 7427986800 7440366778 7540912275 7617284350 7675586360 7827535185 8043639760 8349370864 8462200200 8585038590 8753372680 8800688208 8856445800 8871206543 9140741220 9167383550 9210703632 9281122800 9350731221 9590493560 9594482950 10054549700 10100045400 10436713580 10504047216 10753813200 10941715850 11000860260 11160550167 11425926525 11446718120 11508592272 11513379540 11988116950 12065459640 12187654960 12467641628 12524056296 13045891975 13130059020 13545152400 13567727654 13736061744 13751075325 14062678800 14308397650 14385740340 14391724425 14667813680 14880733556 15081824550 15234568700 15351172720 15584552035 15655070370 16412573775 16924400400 17170077180 17506745360 17712891600 17742413086 17982175425 18281482440 18334767100 18600916945 18701462442 19180987120 19188965900 20109099400 20200090800 20351591481 20873427160 21462596475 21883431700 22001720520 22321100334 22851853050 22893436240 23026759080 23976233900 24130919280 24935283256 25048112592 26091783950 26260118040 26613619629 27135455308 27502150650 28616795300 28771480680 28783448850 29761467112 30163649100 30469137400 31169104070 31310140740 32825147550 33919319135 34340154360 35484826172 35964350850 36562964880 36669534200 37201833890 37402924884 38377931800 39137675925 40218198800 40703182962 41746854320 42925192950 43766863400 44003441040 44356032715 44642200668 45703706100 46053518160 46753656105 47952467800 49870566512 52183567900 52520236080 53227239258 54270910616 55004301300 55802750835 57233590600 57542961360 57566897700 59522934224 60327298200 60938274800 62338208140 62620281480 65650295100 67838638270 68680308720 70969652344 71928701700 73339068400 74403667780 74805849768 76755863600 77922760175 78275351850 81406365924 85850385900 87533726800 88712065430 89284401336 91407412200 93004584725 93507312210 95904935600 101757957405 104367135800 106454478516 108541821232 110008602600 111605501670 114467181200 115133795400 115325685059 120654596400 124676416280 125240562960 131300590200 133068098145 135677276540 141939304688 143857403400 148807335560 149611699536 155845520350 156550703700 162812731848 169596595675 171700771800 177424130860 178568802672 182814824400 186009169450 187014624420 203515914810 208734271600 212908957032 220017205200 221780163575 223211003340 230267590800 230651370118 233768280525 249352832560 262601180400 266136196290 271354553080 279013754175 287714806800 297614671120 311691040700 313101407400 325625463696 339193191350 343401543600 345977055177 354848261720 372018338900 374029248840 407031829620 425817914064 443560327150 446422006680 461302740236 467536561050 508789787025 532272392580 542709106160 558027508350 576628425295 623382081400 626202814800 665340490725 678386382700 691954110354 709696523440 744036677800 748058497680 814063659240 887120654300 892844013360 922605480472 935073122100 1017579574050 1064544785160 1116055016700 1153256850590 1246764162800 1330680981450 1356772765400 1383908220708 1488073355600 1628127318480 1729885275885 1774241308600 1845210960944 1870146244200 2035159148100 2129089570320 2232110033400 2306513701180 2661361962900 2713545530800 2767816441416 2883142126475 3459770551770 3548482617200 3740292488400 4070318296200 4464220066800 4613027402360 5322723925800 5535632882832 5766284252950 6919541103540 8140636592400 8649426379425 9226054804720 10645447851600 11532568505900 13839082207080 17298852758850 23065137011800 27678164414160 34597705517700 46130274023600 69195411035400 138390822070800
- Sum of all divisors σ(n): 537505845424128
- Sum of proper divisors (its aliquot sum) s(n): 399115023353328
- 138390822070800 is an abundant number, because the sum of its proper divisors (399115023353328) is greater than itself. Its abundance is 260724201282528
Bases of 138390822070800
- Binary: 111110111011101100111111100101000101010000100002
- Hexadecimal: 0x7DDD9FCA2A10
- Base-36: 1D1ZV6BDAO
Squares and roots of 138390822070800
- 138390822070800 squared (1383908220708002) is 19152019633431824400212640000
- 138390822070800 cubed (1383908220708003) is 2650463741386731849752057391925134912000000
-
The
square root of 138390822070800 is 11763962.8557217061 -
The
cube root of 138390822070800 is 51725.2299104571
Scales and comparisons
How big is 138390822070800?- 138,390,822,070,800 seconds is equal to 4,400,400 years, 3 weeks, 4 days, 19 hours, 40 minutes.
-
To count from 1 to 138,390,822,070,800 would take you about eleven million, one thousand 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 138390822070800 cubic inches would be around 4310.4 feet tall.
Recreational maths with 138390822070800
- 138390822070800 backwards is 008070228093831
- 138390822070800 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 138390822070800's digits is 51
- More coming soon!
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"Number 138390822070800 - Facts about the integer". Numbermatics.com. 2024. Web. 8 June 2024.
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Numbermatics. (2024). Number 138390822070800 - Facts about the integer. Retrieved 8 June 2024, from https://numbermatics.com/n/138390822070800/
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The information we have on file for 138390822070800 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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