138946553804800
138,946,553,804,800 is an even composite number composed of five prime numbers multiplied together.
What does the number 138946553804800 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 1080 divisors.
138946553804800 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one thousand and eighty divisors.
Prime factorization of 138946553804800:
211 × 52 × 74 × 172 × 3911
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 7 × 7 × 7 × 7 × 17 × 17 × 3911)See below for interesting mathematical facts about the number 138946553804800 from the Numbermatics database.
Names of 138946553804800
- Cardinal: 138946553804800 can be written as One hundred thirty-eight trillion, nine hundred forty-six billion, five hundred fifty-three million, eight hundred four thousand, eight hundred.
Scientific notation
- Scientific notation: 1.389465538048 × 1014
Factors of 138946553804800
Divisors of 138946553804800
- Number of divisors d(n): 1080
-
Complete list of divisors:
1 2 4 5 7 8 10 14 16 17 20 25 28 32 34 35 40 49 50 56 64 68 70 80 85 98 100 112 119 128 136 140 160 170 175 196 200 224 238 245 256 272 280 289 320 340 343 350 392 400 425 448 476 490 512 544 560 578 595 640 680 686 700 784 800 833 850 896 952 980 1024 1088 1120 1156 1190 1225 1280 1360 1372 1400 1445 1568 1600 1666 1700 1715 1792 1904 1960 2023 2048 2176 2240 2312 2380 2401 2450 2560 2720 2744 2800 2890 2975 3136 3200 3332 3400 3430 3584 3808 3911 3920 4046 4165 4352 4480 4624 4760 4802 4900 5120 5440 5488 5600 5780 5831 5950 6272 6400 6664 6800 6860 7168 7225 7616 7822 7840 8092 8330 8575 8704 8960 9248 9520 9604 9800 10115 10240 10880 10976 11200 11560 11662 11900 12005 12544 12800 13328 13600 13720 14161 14336 14450 15232 15644 15680 16184 16660 17150 17408 17920 18496 19040 19208 19555 19600 20230 20825 21760 21952 22400 23120 23324 23800 24010 25088 25600 26656 27200 27377 27440 28322 28900 29155 30464 31288 31360 32368 33320 34300 34816 35840 36992 38080 38416 39110 39200 40460 40817 41650 43520 43904 44800 46240 46648 47600 48020 50176 50575 51200 53312 54400 54754 54880 56644 57800 58310 60025 60928 62576 62720 64736 66487 66640 68600 70805 71680 73984 76160 76832 78220 78400 80920 81634 83300 87040 87808 89600 92480 93296 95200 96040 97775 99127 100352 101150 106624 108800 109508 109760 113288 115600 116620 120050 121856 125152 125440 129472 132974 133280 136885 137200 141610 145775 147968 152320 153664 156440 156800 161840 163268 166600 174080 175616 179200 184960 186592 190400 191639 192080 195550 198254 202300 204085 213248 217600 219016 219520 226576 231200 233240 240100 243712 250304 250880 258944 265948 266560 273770 274400 283220 291550 295936 304640 307328 312880 313600 323680 326536 332435 333200 351232 354025 358400 369920 373184 380800 383278 384160 391100 396508 404600 408170 426496 435200 438032 439040 453152 462400 465409 466480 480200 495635 500608 501760 517888 531896 533120 547540 548800 566440 583100 591872 609280 614656 625760 627200 647360 653072 664870 666400 684425 693889 702464 708050 739840 746368 761600 766556 768320 782200 793016 809200 816340 852992 870400 876064 878080 906304 924800 930818 932960 958195 960400 991270 1001216 1020425 1035776 1063792 1066240 1095080 1097600 1130279 1132880 1166200 1218560 1229312 1251520 1254400 1294720 1306144 1329740 1332800 1341473 1368850 1387778 1416100 1479680 1492736 1523200 1533112 1536640 1564400 1586032 1618400 1632680 1662175 1705984 1752128 1756160 1812608 1849600 1861636 1865920 1916390 1920800 1982540 2002432 2040850 2071552 2127584 2132480 2190160 2195200 2260558 2265760 2327045 2332400 2458624 2478175 2503040 2508800 2589440 2612288 2659480 2665600 2682946 2737700 2775556 2832200 2959360 2985472 3046400 3066224 3073280 3128800 3172064 3236800 3257863 3265360 3324350 3469445 3504256 3512320 3625216 3699200 3723272 3731840 3832780 3841600 3965080 4004864 4081700 4143104 4255168 4264960 4380320 4390400 4521116 4531520 4654090 4664800 4790975 4917248 4956350 5006080 5178880 5224576 5318960 5331200 5365892 5475400 5551112 5651395 5664400 5970944 6092800 6132448 6146560 6257600 6344128 6473600 6515726 6530720 6648700 6707365 6938890 7008512 7250432 7398400 7446544 7463680 7665560 7683200 7911953 7930160 8009728 8163400 8510336 8529920 8760640 8780800 9042232 9063040 9308180 9329600 9390311 9581950 9912700 10012160 10357760 10449152 10637920 10662400 10731784 10950800 11102224 11302790 11328800 11635225 11941888 12264896 12293120 12515200 12688256 12947200 13031452 13061440 13297400 13414730 13877780 14017024 14500864 14796800 14893088 14927360 15331120 15366400 15823906 15860320 16289315 16326800 17020672 17347225 17521280 17561600 18084464 18126080 18616360 18659200 18780622 19163900 19825400 20024320 20715520 20898304 21275840 21324800 21463568 21901600 22204448 22605580 22657600 22805041 23270450 24529792 24586240 25030400 25376512 25894400 26062904 26122880 26594800 26829460 27755560 28034048 28256975 29001728 29786176 29854720 30662240 30732800 31647812 31720640 32578630 32653600 33536825 34041344 34694450 35042560 36168928 36252160 37232720 37318400 37561244 38327800 39559765 39650800 40048640 41796608 42551680 42649600 42927136 43803200 44408896 45211160 45315200 45610082 46540900 46951555 49059584 50060800 50753024 51788800 52125808 52245760 53189600 53658920 55383671 55511120 56068096 56513950 59572352 59709440 61324480 61465600 63295624 63441280 65157260 65307200 67073650 68082688 69388900 70085120 72337856 72504320 74465440 74636800 75122488 76655600 79119530 79301600 81446575 83593216 85103360 85854272 87606400 88817792 90422320 90630400 91220164 93081800 93903110 98119168 100121600 101506048 103577600 104251616 104491520 106379200 107317840 110767342 111022240 113027900 114025205 119144704 122648960 122931200 126591248 126882560 130314520 130614400 134147300 136165376 138777800 140170240 144675712 145008640 148930880 149273600 150244976 153311200 158239060 158603200 159635287 162893150 170206720 171708544 175212800 177635584 180844640 181260800 182440328 186163600 187806220 196238336 197798825 200243200 203012096 208503232 208983040 212758400 214635680 221534684 222044480 226055800 228050410 234757775 238289408 245297920 253182496 253765120 260629040 261228800 268294600 276918355 277555600 280340480 289351424 297861760 298547200 300489952 306622400 316478120 317206400 319270574 325786300 340413440 343417088 350425600 355271168 361689280 362521600 364880656 372327200 375612440 387685697 392476672 395597650 417006464 417966080 425516800 429271360 443069368 444088960 452111600 456100820 469515550 476578816 490595840 506364992 507530240 521258080 522457600 536589200 553836710 555111200 570126025 578702848 595723520 600979904 613244800 632956240 634412800 638541148 651572600 680826880 686834176 700851200 710542336 723378560 725043200 729761312 744654400 751224880 775371394 791195300 798176435 834012928 851033600 858542720 886138736 888177920 904223200 912201640 939031100 953157632 981191680 1012729984 1015060480 1042516160 1044915200 1073178400 1107673420 1110222400 1140252050 1157405696 1191447040 1201959808 1226489600 1265912480 1268825600 1277082296 1303145200 1373668352 1384591775 1401702400 1421084672 1446757120 1459522624 1489308800 1502449760 1550742788 1582390600 1596352870 1668025856 1702067200 1717085440 1772277472 1776355840 1808446400 1824403280 1878062200 1938428485 1962383360 2025459968 2085032320 2089830400 2146356800 2215346840 2220444800 2280504100 2314811392 2382894080 2403919616 2452979200 2531824960 2537651200 2554164592 2606290400 2713799879 2747336704 2769183550 2893514240 2919045248 2978617600 3004899520 3101485576 3164781200 3192705740 3336051712 3404134400 3434170880 3544554944 3552711680 3616892800 3648806560 3756124400 3876856970 3990882175 4050919936 4170064640 4292713600 4430693680 4440889600 4561008200 4765788160 4807839232 4905958400 5063649920 5075302400 5108329184 5212580800 5427599758 5538367100 5787028480 5838090496 5957235200 6009799040 6202971152 6329562400 6385411480 6672103424 6868341760 7089109888 7105423360 7233785600 7297613120 7512248800 7753713940 7981764350 8101839872 8340129280 8585427200 8861387360 8881779200 9122016400 9615678464 9692142425 9811916800 10127299840 10216658368 10425161600 10855199516 11076734200 11574056960 11676180992 11914470400 12019598080 12405942304 12659124800 12770822960 13568999395 13736683520 14178219776 14467571200 14595226240 15024497600 15507427880 15963528700 16203679744 16680258560 17170854400 17722774720 17763558400 18244032800 19231356928 19384284850 20254599680 20433316736 20850323200 21710399032 22153468400 23352361984 23828940800 24039196160 24811884608 25318249600 25541645920 27137998790 28356439552 28935142400 29190452480 30048995200 31014855760 31927057400 33360517120 34341708800 35445549440 35527116800 36488065600 38768569700 40509199360 40866633472 41700646400 43420798064 44306936800 46704723968 48078392320 49623769216 50636499200 51083291840 54275997580 56712879104 57870284800 58380904960 60097990400 62029711520 63854114800 67844996975 68683417600 70891098880 72976131200 77537139400 81018398720 81733266944 83401292800 86841596128 88613873600 96156784640 99247538432 101272998400 102166583680 108551995160 113425758208 116761809920 120195980800 124059423040 127708229600 135689993950 141782197760 145952262400 155074278800 163466533888 166802585600 173683192256 177227747200 198495076864 202545996800 204333167360 217103990320 233523619840 240391961600 248118846080 255416459200 271379987900 283564395520 291904524800 310148557600 326933067776 347366384512 354455494400 396990153728 405091993600 408666334720 434207980640 480783923200 496237692160 510832918400 542759975800 567128791040 583809049600 620297115200 694732769024 708910988800 793980307456 817332669440 868415961280 992475384320 1021665836800 1085519951600 1167618099200 1240594230400 1389465538048 1417821977600 1634665338880 1736831922560 1984950768640 2043331673600 2171039903200 2481188460800 2778931076096 2835643955200 3473663845120 3969901537280 4086663347200 4342079806400 4962376921600 5557862152192 6947327690240 8173326694400 8684159612800 9924753843200 13894655380480 17368319225600 19849507686400 27789310760960 34736638451200 69473276902400 138946553804800
- Sum of all divisors σ(n): 427037417777880
- Sum of proper divisors (its aliquot sum) s(n): 288090863973080
- 138946553804800 is an abundant number, because the sum of its proper divisors (288090863973080) is greater than itself. Its abundance is 149144310168280
Bases of 138946553804800
- Binary: 111111001011111000000111111101101111000000000002
- Hexadecimal: 0x7E5F03FB7800
- Base-36: 1D935YN3LS
Squares and roots of 138946553804800
- 138946553804800 squared (1389465538048002) is 19306144814230181356503040000
- 138946553804800 cubed (1389465538048003) is 2682522289193694394543411497734766592000000
-
The
square root of 138946553804800 is 11787559.2810725663 -
The
cube root of 138946553804800 is 51794.3745729389
Scales and comparisons
How big is 138946553804800?- 138,946,553,804,800 seconds is equal to 4,418,070 years, 32 weeks, 2 days, 1 hour, 46 minutes, 40 seconds.
-
To count from 1 to 138,946,553,804,800 would take you about eleven million, forty-five thousand, one hundred seventy-six 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 138946553804800 cubic inches would be around 4316.2 feet tall.
Recreational maths with 138946553804800
- 138946553804800 backwards is 008408355649831
- 138946553804800 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 138946553804800's digits is 64
- More coming soon!
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The information we have on file for 138946553804800 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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