138133250073728
138,133,250,073,728 is an even composite number composed of six prime numbers multiplied together.
What does the number 138133250073728 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 1152 divisors.
138133250073728 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, one hundred fifty-two divisors.
Prime factorization of 138133250073728:
27 × 73 × 132 × 19 × 792 × 157
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 7 × 7 × 7 × 13 × 13 × 19 × 79 × 79 × 157)See below for interesting mathematical facts about the number 138133250073728 from the Numbermatics database.
Names of 138133250073728
- Cardinal: 138133250073728 can be written as One hundred thirty-eight trillion, one hundred thirty-three billion, two hundred fifty million, seventy-three thousand, seven hundred twenty-eight.
Scientific notation
- Scientific notation: 1.38133250073728 × 1014
Factors of 138133250073728
Divisors of 138133250073728
- Number of divisors d(n): 1152
-
Complete list of divisors:
1 2 4 7 8 13 14 16 19 26 28 32 38 49 52 56 64 76 79 91 98 104 112 128 133 152 157 158 169 182 196 208 224 247 266 304 314 316 338 343 364 392 416 448 494 532 553 608 628 632 637 676 686 728 784 832 896 931 988 1027 1064 1099 1106 1183 1216 1256 1264 1274 1352 1372 1456 1501 1568 1664 1729 1862 1976 2041 2054 2128 2198 2212 2366 2432 2512 2528 2548 2704 2744 2912 2983 3002 3136 3211 3458 3724 3871 3952 4082 4108 4256 4396 4424 4459 4732 5024 5056 5096 5408 5488 5824 5966 6004 6241 6272 6422 6517 6916 7189 7448 7693 7742 7904 8164 8216 8281 8512 8792 8848 8918 9464 10048 10112 10192 10507 10816 10976 11648 11932 12008 12103 12403 12482 12844 13034 13351 13832 14287 14378 14896 15386 15484 15808 16328 16432 16562 17024 17584 17696 17836 18928 19513 20096 20384 20881 21014 21632 21952 22477 23864 24016 24206 24806 24964 25688 26068 26533 26702 27097 27664 28574 28756 29792 30772 30968 31616 32656 32864 33124 35168 35392 35672 37856 38779 39026 40768 41762 42028 43687 43904 44954 47728 48032 48412 49612 49928 50323 51376 52136 53066 53404 53851 54194 55328 57148 57512 57967 59584 61544 61936 65312 65728 66248 70336 70784 71344 73549 75712 77558 78052 81133 81536 83524 84056 84721 86821 87374 89908 93457 95456 96064 96824 99224 99856 100009 100646 102752 104272 106132 106808 107702 108388 110656 114296 115024 115934 118579 119168 123088 123872 130624 131456 132496 136591 140672 142688 146167 147098 151424 155116 156104 157339 161239 162266 167048 168112 169442 173642 174748 179816 185731 186914 190912 192128 193648 198448 199712 200018 201292 205504 208544 212264 213616 215404 216776 221312 228592 230048 231868 235657 237158 246176 247744 253669 261248 264992 271453 273182 285376 292334 294196 305809 310232 312208 314678 322478 324532 334096 336224 338884 347284 349496 352261 359632 371462 373828 381824 387296 396896 399424 400036 402584 411008 417088 424528 427232 430808 433552 457184 460096 463736 471314 474316 492352 495488 504127 507338 514843 529984 542906 546364 567931 570752 584668 588392 607747 611618 620464 624416 629356 644956 649064 654199 668192 672448 677768 694568 698992 700063 704522 719264 742924 747656 774592 793792 798848 800072 805168 830053 834176 849056 854464 861616 867104 914368 920192 927472 942628 948632 956137 979837 984704 1008254 1014676 1023169 1029686 1054729 1059968 1085812 1092728 1101373 1128673 1135862 1169336 1176784 1215494 1223236 1240928 1248832 1258712 1289912 1298128 1300117 1308398 1336384 1344896 1355536 1389136 1397984 1400126 1409044 1438528 1485848 1495312 1541527 1549184 1587584 1600144 1610336 1649599 1660106 1698112 1708928 1723232 1734208 1775683 1828736 1854944 1885256 1897264 1900171 1912274 1959674 2016508 2029352 2046338 2059372 2096107 2109458 2140663 2171624 2185456 2202746 2257346 2271724 2338672 2353568 2430988 2446472 2481856 2497664 2517424 2579824 2596256 2600234 2616796 2672768 2711072 2778272 2795968 2800252 2818088 2877056 2971696 2990624 3063541 3083054 3200288 3220672 3299198 3320212 3396224 3446464 3468416 3528889 3551366 3709888 3770512 3794528 3800342 3824548 3919348 3975517 4033016 4058704 4092676 4118744 4192214 4218916 4254229 4281326 4343248 4370912 4405492 4514692 4543448 4579393 4677344 4707136 4861976 4892944 4963712 5034848 5159648 5192512 5200468 5233592 5422144 5556544 5591936 5600504 5636176 5810371 5943392 5981248 6127082 6166108 6400576 6441344 6598396 6640424 6692959 6858859 6892928 7057778 7102732 7383103 7419776 7541024 7589056 7600684 7649096 7838696 7900711 7951034 8066032 8117408 8185352 8237488 8384428 8437832 8508458 8562652 8686496 8741824 8810984 9029384 9086896 9100819 9158786 9354688 9414272 9723952 9785888 10069696 10319296 10385024 10400936 10467184 10790689 10844288 11113088 11201008 11272352 11547193 11620742 11886784 11962496 12254164 12332216 12429781 12737881 12801152 13196792 13280848 13301197 13385918 13717718 14115556 14205464 14672749 14766206 15082048 15178112 15201368 15298192 15677392 15801422 15902068 16132064 16234816 16370704 16474976 16768856 16875664 17016916 17125304 17372992 17483648 17621968 18058768 18173792 18201638 18317572 18616903 18709376 19447904 19571776 20039851 20139392 20638592 20801872 20934368 21444787 21581378 22402016 22544704 23094386 23241484 23773568 24508328 24664432 24702223 24859562 25475762 26393584 26561696 26602394 26771836 27435436 27828619 28231112 28410928 29345498 29532412 30164096 30402736 30596384 31354784 31602844 31804136 32264128 32469632 32741408 32949952 33537712 33751328 34033832 34250608 34745984 35243936 36117536 36347584 36403276 36635144 37233806 38895808 39143552 39826033 40079702 40672597 41603744 41868736 42889574 43162756 44804032 45089408 46188772 46482968 48012013 49016656 49328864 49404446 49719124 50951524 51681721 52787168 53123392 53204788 53543672 54870872 55304977 55657238 56462224 56821856 58690996 59064824 60805472 61192768 62709568 63205688 63608272 64528256 65482816 65899904 67075424 67502656 68067664 68501216 70487872 72235072 72695168 72806552 73270288 74467612 75534823 77791616 79652066 80159404 80830351 81345194 83207488 83737472 85779148 86325512 87008467 89165167 89608064 92377544 92965936 96024026 98033312 98657728 98808892 99438248 101903048 102709243 103363442 105574336 106246784 106409576 107087344 109741744 110609954 111314476 112924448 113643712 117381992 118129648 121610944 122385536 125419136 126411376 127216544 130318321 130965632 134150848 135005312 136135328 137002432 140278957 140975744 144470144 145613104 146540576 148935224 150113509 151069646 159304132 160318808 161660702 162690388 165592453 166414976 171558296 172651024 172915561 174016934 178330334 184755088 185931872 192048052 196066624 197315456 197617784 198876496 203806096 205418486 206726884 211148672 212819152 214174688 219483488 221219908 222628952 225848896 227287424 234763984 236259296 242019739 243221888 252822752 254433088 260636642 268301696 272270656 274004864 278782231 280557914 291226208 293081152 297870448 300227018 302139292 318608264 320637616 323321404 325380776 331184906 336084091 343116592 345302048 345831122 348033868 356660668 361772047 369510176 371863744 384096104 392133248 395235568 397752992 407612192 410836972 413453768 425638304 428349376 438966976 442439816 445257904 451697792 469527968 472518592 484039478 505645504 508866176 521273284 528743761 544541312 557564462 561115828 582452416 586162304 595740896 600454036 604278584 624156169 637216528 641275232 646642808 650761552 662369812 672168182 686233184 690604096 691662244 696067736 713321336 718964701 723544094 739020352 743727488 768192208 790471136 795505984 815224384 821673944 826907536 851276608 856698752 877933952 884879632 890515808 912228247 939055936 945037184 968078956 981952699 1011291008 1042546568 1050794563 1057487522 1115128924 1122231656 1159147171 1164904832 1191481792 1200908072 1208557168 1248312338 1274433056 1282550464 1293285616 1301523104 1324739624 1344336364 1372466368 1381208192 1383324488 1392135472 1426642672 1437929402 1447088188 1478040704 1536384416 1580942272 1591011968 1630448768 1643347888 1653815072 1694138173 1702553216 1769759264 1781031616 1824456494 1878111872 1936157912 1951475617 1963905398 2085093136 2101589126 2114975044 2230257848 2244463312 2318294342 2382963584 2401816144 2417114336 2496624676 2548866112 2565100928 2586571232 2603046208 2649479248 2688672728 2744932736 2766648976 2784270944 2853285344 2875858804 2894176376 3072768832 3146256607 3161884544 3286695776 3307630144 3388276346 3539518528 3562063232 3648912988 3872315824 3902951234 3927810796 4170186272 4203178252 4229950088 4369093183 4460515696 4488926624 4636588684 4803632288 4834228672 4993249352 5097732224 5173142464 5206092416 5298958496 5377345456 5533297952 5568541888 5706570688 5751717608 5788352752 6145537664 6292513214 6385597729 6573391552 6615260288 6776552692 6873668893 7079037056 7297825976 7744631648 7805902468 7855621592 8114030197 8340372544 8406356504 8459900176 8738186366 8921031392 8977853248 9273177368 9607264576 9668457344 9986498704 10346284928 10597916992 10754690912 11066595904 11137083776 11413141376 11503435216 11576705504 11858967211 12585026428 12771195458 13146783104 13553105384 13660329319 13747337786 14595651952 15489263296 15611804936 15711243184 16228060394 16680745088 16812713008 16919800352 17476372732 17842062784 17955706496 18546354736 19214529152 19972997408 21195833984 21509381824 22023796249 22133191808 23006870432 23153411008 23717934422 25170052856 25542390916 27106210768 27320658638 27494675572 29191303904 30978526592 31223609872 31422486368 32456120788 33625426016 33839600704 34952745464 35684125568 37092709472 39945994816 43018763648 44047592498 46013740864 46306822016 47435868844 50340105712 51084781832 54212421536 54641317276 54989351144 56798211379 58382607808 62447219744 62844972736 64912241576 67250852032 67679201408 69905490928 74185418944 79891989632 83012770477 88095184996 92027481728 94871737688 100680211424 102169563664 108424843072 109282634552 109978702288 113596422758 116765215616 124894439488 125689945472 129824483152 134501704064 139810981856 148370837888 154166573743 166025540954 176190369992 189743475376 201360422848 204339127328 216849686144 218565269104 219957404576 227192845516 249788878976 259648966304 279621963712 308333147486 332051081908 352380739984 379486950752 402720845696 408678254656 437130538208 439914809152 454385691032 519297932608 559243927424 616666294972 664102163816 704761479968 758973901504 817356509312 874261076416 879829618304 908771382064 1038595865216 1079166016201 1233332589944 1328204327632 1409522959936 1517947803008 1748522152832 1817542764128 2158332032402 2466665179888 2656408655264 2819045919872 3635085528256 4316664064804 4933330359776 5312817310528 7270171056512 8633328129608 9866660719552 10625634621056 17266656259216 19733321439104 34533312518432 69066625036864 138133250073728
- Sum of all divisors σ(n): 372841403760000
- Sum of proper divisors (its aliquot sum) s(n): 234708153686272
- 138133250073728 is an abundant number, because the sum of its proper divisors (234708153686272) is greater than itself. Its abundance is 96574903612544
Bases of 138133250073728
- Binary: 111110110100001101001110100110101100100100000002
- Hexadecimal: 0x7DA1A74D6480
- Base-36: 1CYPJELKE8
Squares and roots of 138133250073728
- 138133250073728 squared (1381332500737282) is 19080794775931076517435817984
- 138133250073728 cubed (1381332500737283) is 2635692196389170212591937614015875988324352
-
The
square root of 138133250073728 is 11753010.2558335241 -
The
cube root of 138133250073728 is 51693.1197732297
Scales and comparisons
How big is 138133250073728?- 138,133,250,073,728 seconds is equal to 4,392,210 years, 4 weeks, 10 hours, 42 minutes, 8 seconds.
-
To count from 1 to 138,133,250,073,728 would take you about ten million, nine hundred eighty thousand, five hundred twenty-five 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 138133250073728 cubic inches would be around 4307.8 feet tall.
Recreational maths with 138133250073728
- 138133250073728 backwards is 827370052331831
- The number of decimal digits it has is: 15
- The sum of 138133250073728's digits is 53
- More coming soon!
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The information we have on file for 138133250073728 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!
Keywords: Divisors of 138133250073728, math, Factors of 138133250073728, curriculum, school, college, exams, university, Prime factorization of 138133250073728, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-eight trillion, one hundred thirty-three billion, two hundred fifty million, seventy-three thousand, seven hundred twenty-eight.