138628783440
138,628,783,440 is an even composite number composed of nine prime numbers multiplied together.
138628783440 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 138628783440:
24 × 32 × 5 × 7 × 17 × 19 × 31 × 41 × 67
(2 × 2 × 2 × 2 × 3 × 3 × 5 × 7 × 17 × 19 × 31 × 41 × 67)See below for interesting mathematical facts about the number 138628783440 from the Numbermatics database.
Names of 138628783440
- Cardinal: 138628783440 can be written as One hundred thirty-eight billion, six hundred twenty-eight million, seven hundred eighty-three thousand, four hundred forty.
Scientific notation
- Scientific notation: 1.3862878344 × 1011
Factors of 138628783440
Divisors of 138628783440
- Number of divisors d(n): 1920
-
Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 14 15 16 17 18 19 20 21 24 28 30 31 34 35 36 38 40 41 42 45 48 51 56 57 60 62 63 67 68 70 72 76 80 82 84 85 90 93 95 102 105 112 114 119 120 123 124 126 133 134 136 140 144 152 153 155 164 168 170 171 180 186 190 201 204 205 210 217 228 238 240 246 248 252 255 266 268 272 279 280 285 287 304 306 310 315 323 328 335 336 340 342 357 360 369 372 380 399 402 408 410 420 434 456 465 469 476 492 496 504 510 527 532 536 558 560 570 574 589 595 603 612 615 620 630 646 651 656 665 670 680 684 697 714 720 738 744 760 765 779 798 804 816 820 840 855 861 868 912 930 938 952 969 984 1005 1008 1020 1054 1064 1071 1072 1085 1116 1139 1140 1148 1178 1190 1197 1206 1224 1230 1240 1260 1271 1273 1292 1302 1330 1340 1360 1368 1394 1395 1407 1428 1435 1476 1488 1520 1530 1558 1581 1596 1608 1615 1640 1680 1710 1722 1736 1767 1785 1845 1860 1876 1904 1938 1953 1968 1995 2010 2040 2077 2091 2108 2128 2142 2170 2232 2261 2278 2280 2296 2337 2345 2356 2380 2394 2412 2448 2460 2480 2520 2542 2546 2583 2584 2604 2635 2660 2680 2736 2747 2788 2790 2814 2856 2870 2907 2945 2952 3015 3060 3116 3162 3192 3216 3230 3255 3280 3417 3420 3444 3472 3485 3534 3570 3689 3690 3720 3752 3813 3819 3876 3895 3906 3990 4020 4080 4123 4154 4182 4216 4221 4284 4305 4340 4464 4522 4556 4560 4592 4674 4690 4712 4743 4760 4788 4824 4845 4879 4920 5040 5084 5092 5166 5168 5208 5270 5301 5320 5355 5360 5453 5494 5576 5580 5628 5695 5712 5740 5814 5890 5904 5985 6030 6120 6231 6232 6273 6324 6355 6365 6384 6460 6510 6783 6834 6840 6888 6970 7011 7035 7068 7140 7378 7380 7440 7504 7626 7638 7752 7790 7812 7905 7973 7980 8040 8241 8246 8308 8364 8432 8442 8568 8610 8680 8835 8897 8911 9044 9112 9348 9380 9424 9486 9520 9576 9648 9690 9758 9765 9840 10013 10168 10184 10251 10332 10385 10416 10455 10540 10602 10640 10710 10906 10988 11067 11152 11160 11256 11305 11390 11439 11457 11480 11628 11685 11780 11970 12060 12240 12369 12462 12464 12546 12648 12710 12730 12915 12920 13020 13243 13566 13668 13680 13735 13776 13940 14022 14070 14136 14280 14535 14539 14637 14756 14760 15252 15276 15504 15580 15624 15810 15946 15960 16080 16359 16482 16492 16616 16728 16884 17085 17136 17220 17360 17670 17794 17822 18088 18224 18445 18693 18696 18760 18972 19065 19095 19152 19229 19380 19516 19530 20026 20336 20349 20368 20502 20615 20664 20770 20910 21080 21105 21204 21420 21607 21641 21812 21976 22134 22320 22512 22610 22780 22878 22914 22960 23256 23370 23560 23715 23919 23940 24120 24149 24395 24723 24738 24924 25092 25296 25420 25460 25830 25840 26040 26486 26505 26691 26733 27132 27265 27336 27470 27880 28044 28140 28272 28560 29070 29078 29274 29512 29520 30039 30504 30552 31155 31160 31248 31365 31620 31892 31920 32718 32964 32984 33201 33232 33456 33768 33915 34170 34440 35055 35309 35340 35588 35644 36176 36890 37107 37386 37392 37520 37944 38130 38190 38458 38760 39032 39060 39463 39729 39865 40052 40698 41004 41205 41230 41328 41540 41820 42160 42210 42408 42840 43214 43282 43617 43624 43911 43952 44268 44485 44555 45220 45560 45756 45828 46512 46699 46740 47120 47430 47838 47880 48240 48298 48790 49077 49446 49476 49848 50065 50184 50840 50920 51255 51660 52080 52193 52972 53010 53382 53466 54264 54530 54672 54940 55335 55760 56088 56280 57195 57285 57687 58140 58156 58548 59024 60078 61008 61104 61845 62310 62320 62730 63240 63784 64821 64923 65436 65928 65968 66215 66402 67536 67830 68340 68880 70091 70110 70618 70680 71176 71288 71757 72447 72695 73185 73780 74214 74772 75888 76260 76380 76916 77520 78064 78120 78926 79458 79730 80073 80104 80199 81396 81795 82008 82410 82460 83080 83640 84420 84816 85157 85680 86428 86564 87234 87248 87822 88536 88970 89110 90117 90440 91120 91512 91656 92701 93398 93465 93480 94860 95676 95760 96145 96596 97580 98154 98892 98952 99696 100130 100368 101680 101745 101840 102510 103320 104386 105927 105944 106020 106764 106932 108035 108205 108528 109060 109880 110670 112176 112560 114390 114570 115374 116280 116312 117096 118389 119187 119595 120156 120745 123615 123690 124620 125460 126480 127568 129642 129846 130851 130872 131856 132430 132804 133455 133665 135660 136680 140097 140182 140220 141236 141360 142352 142576 143514 144894 145390 146370 147560 148428 149544 150195 151249 151487 152520 152760 153832 156240 156579 157852 158916 159460 160146 160208 160398 162792 163590 164016 164820 164920 166005 166160 167280 168840 169043 170314 172856 173061 173128 174468 175644 176545 177072 177940 178220 180234 180880 183024 183312 185402 185535 186796 186930 186960 189720 191352 192290 193192 194463 194769 195160 196308 197315 197784 197904 198645 200260 203490 205020 206640 208772 210273 211854 211888 212040 213528 213864 216070 216410 217341 218085 218120 219555 219760 221340 228780 229140 230748 232560 232624 233495 234192 236778 238374 239190 240312 241490 245385 247163 247230 247380 249240 250920 255471 259284 259692 260965 261702 261744 264860 265608 266910 267330 271320 273360 276241 278103 280194 280364 280440 282472 287028 288435 289788 290780 292740 295120 296856 299088 300390 302498 302974 305040 305520 307664 313158 315704 317781 317832 318920 320292 320796 324105 324615 325584 326893 327180 329640 329840 332010 337680 338086 340628 345712 346122 346256 348936 350455 351288 353090 355167 355880 356440 358785 360468 362235 365351 370804 371070 373592 373860 379440 382704 384580 386384 388926 389538 390320 392616 394630 395568 397290 400365 400520 400995 406980 410040 410533 417544 420291 420546 423708 424080 425785 427056 427728 432140 432820 434682 436170 436240 439110 442680 450585 453747 454461 457560 458280 461496 463505 466990 469737 473556 476748 478380 480624 482980 490770 494326 494460 494760 498480 501840 507129 510942 518568 519384 521930 523404 529635 529720 531216 533820 534660 542640 552482 556206 560388 560728 560880 564944 574056 576870 579576 581560 585480 591945 593712 595935 596099 600780 604996 605948 626316 630819 631408 635562 635664 637840 640584 641592 648210 649230 653786 654255 654360 659280 664020 670871 676172 681256 692244 697872 700485 700910 702576 706180 710334 711760 712880 717570 720936 724470 730702 741489 741608 742140 747184 747720 756245 757435 766413 769160 777852 779076 782895 785232 789260 794580 800730 801040 801990 813960 820080 821066 828723 834309 835088 840582 841092 845215 847416 851570 864280 865305 865640 869364 872340 878220 885360 887281 901170 907494 908922 915120 916560 922992 927010 933980 939474 947112 953496 956760 965960 972315 973845 980679 981540 988652 988920 989520 1014258 1021884 1037136 1038768 1043860 1046808 1051365 1059270 1059440 1067640 1069320 1086705 1096053 1104964 1112412 1120776 1121456 1148112 1153740 1159152 1163120 1170960 1183890 1191870 1192198 1201560 1209992 1211896 1231599 1235815 1252632 1261638 1271124 1277355 1281168 1283184 1296420 1298460 1307572 1308510 1308720 1328040 1341742 1352344 1361241 1362512 1363383 1381205 1384488 1390515 1400970 1401820 1412360 1420668 1435140 1441872 1447669 1448940 1461404 1482978 1483216 1484280 1495440 1512490 1514870 1521387 1532826 1538320 1555704 1558152 1565790 1578520 1588905 1589160 1601460 1603980 1617983 1627920 1634465 1642132 1657446 1668618 1681164 1682184 1690430 1694832 1703140 1728560 1730610 1731280 1738728 1744680 1756440 1774562 1775835 1788297 1802340 1814988 1817844 1826755 1854020 1867960 1878948 1894224 1906992 1913520 1931920 1944630 1947690 1961358 1963080 1977304 1977840 2012613 2028516 2043768 2052665 2087720 2093616 2101455 2102730 2118540 2135280 2138640 2173410 2192106 2209928 2224467 2224824 2241552 2268735 2272305 2307480 2348685 2367780 2383740 2384396 2403120 2419984 2423792 2463198 2471630 2486169 2505264 2523276 2535645 2542248 2554710 2592840 2596920 2615144 2617020 2656080 2661843 2683484 2704688 2722482 2726766 2762410 2768976 2781030 2801940 2803640 2824720 2841336 2870280 2873731 2895338 2897880 2922808 2942037 2965956 2968560 2980495 3024980 3029740 3042774 3065652 3111408 3116304 3131580 3154095 3157040 3177810 3178320 3202920 3207960 3235966 3268930 3284264 3288159 3314892 3337236 3354355 3362328 3364368 3380860 3406280 3461220 3477456 3489360 3512880 3549124 3551670 3576594 3604680 3629976 3635688 3653510 3694797 3707445 3708040 3735920 3757896 3832065 3889260 3895380 3922716 3926160 3954608 4025226 4057032 4087536 4105330 4143615 4171545 4175440 4202910 4205460 4237080 4343007 4346820 4384212 4419856 4436405 4448934 4449648 4537470 4544610 4614960 4696097 4697370 4735560 4767480 4768792 4853949 4903395 4926396 4943260 4972338 5046552 5071290 5084496 5109420 5185680 5193840 5230288 5234040 5323686 5364891 5366968 5444964 5453532 5480265 5524820 5562060 5603880 5607280 5682672 5740560 5747462 5790676 5795760 5845616 5884074 5931912 5960990 6037839 6049960 6059480 6085548 6131304 6157995 6210967 6263160 6308190 6355620 6405840 6415920 6471932 6537860 6568528 6576318 6629784 6674472 6708710 6724656 6761720 6806205 6812560 6816915 6922440 7098248 7103340 7153188 7209360 7238345 7259952 7271376 7307020 7389594 7414890 7416080 7515792 7606935 7664130 7778520 7790760 7845432 7985529 8050452 8089915 8114064 8210660 8287230 8343090 8405820 8410920 8474160 8621193 8686014 8693640 8768424 8872810 8897868 8941485 9074940 9089220 9392194 9394740 9471120 9534960 9537584 9707898 9806790 9852792 9886520 9944676 10063065 10093104 10133683 10142580 10218840 10468080 10647372 10729782 10733936 10889928 10907064 10960530 11049640 11122335 11124120 11207760 11325881 11494924 11581352 11768148 11863824 11921980 12075678 12099920 12118960 12171096 12262608 12315990 12421934 12430845 12526320 12616380 12711240 12943864 13029021 13075720 13152636 13259568 13309215 13348944 13417420 13523440 13612410 13633830 13844880 14088291 14196496 14206680 14306376 14368655 14476690 14561847 14614040 14710185 14779188 14829780 15213870 15328260 15557040 15581520 15690864 15971058 16100904 16179830 16421320 16440795 16574460 16686180 16811640 16821840 17242386 17372028 17387280 17536848 17745620 17795736 17882970 18149880 18178440 18473985 18632901 18784388 18789480 19415796 19613580 19705584 19773040 19889352 20126130 20267366 20285160 20437680 21294744 21459564 21715035 21779856 21814128 21921060 22099280 22244670 22248240 22651762 22989848 23162704 23480485 23536296 23843960 24151356 24269745 24342192 24631980 24843868 24861690 25232760 25422480 25863579 25887728 26058042 26151440 26305272 26618430 26824455 26834840 27224820 27267660 27505711 28176582 28413360 28612752 28737310 28953380 29123694 29228080 29420370 29558376 29659560 30189195 30401049 30427740 30656520 31054835 31942116 32201808 32359660 32842640 32881590 33148920 33372360 33623280 33977643 34484772 34744056 35491240 35591472 35765940 36299760 36356880 36947970 37265802 37568776 37578960 38831592 39227160 39778704 39927645 40252260 40534732 40570320 42264873 42589488 42919128 43105965 43430070 43842120 44489340 45303524 45979696 46960970 47072592 47687920 48302712 48539490 49263960 49687736 49723380 50465520 50668415 51727158 52116084 52610544 53236860 53648910 53669680 54449640 54535320 55011422 55898703 56353164 56629405 57474620 57906760 58247388 58840740 59116752 59319120 60378390 60802098 60855480 61313040 62109670 63884232 64719320 65145105 65763180 66297840 66744720 67955286 68969544 69488112 70441455 70982480 71531880 72809235 73895940 74531604 75137552 77663184 78454320 79855290 80504520 81069464 82517133 84529746 85838256 86211930 86860140 87684240 88978680 90607048 91203147 93164505 93921940 96605424 97078980 98527920 99375472 99446760 101336830 101932929 103454316 104232168 106473720 107297820 108899280 109070640 110022844 111797406 112706328 113258810 114949240 115813520 116494776 117681480 120756780 121604196 121710960 124219340 127768464 129317895 129438640 130290210 131526360 135910572 137528555 137939088 140882910 143063760 145618470 147791880 149063208 152005245 159710580 161009040 162138928 165034266 169059492 169888215 172423860 173720280 177957360 181214096 182406294 186329010 187843880 192539977 194157960 198893520 202673660 203865858 206908632 208464336 211324365 212947440 214595640 220045688 223594812 225412656 226517620 229898480 232989552 235362960 241513560 243208392 247551399 248438680 258635790 260580420 263052720 271821144 275057110 279493515 281765820 291236940 295583760 298126416 304010490 319421160 330068532 338118984 339776430 344847720 347440560 364812588 372658020 375687760 385079954 388315920 405347320 407731716 412585665 413817264 422648730 429191280 440091376 447189624 453035240 456015735 483027120 486416784 495102798 496877360 509664645 517271580 521160840 543642288 550114220 558987030 563531640 577619931 582473880 608020980 638842320 660137064 676237968 679552860 689695440 729625176 745316040 770159908 810694640 815463432 825171330 845297460 894379248 906070480 912031470 962699885 990205596 1019329290 1034543160 1042321680 1100228440 1117974060 1127063280 1155239862 1164947760 1216041960 1237756995 1320274128 1359105720 1459250352 1490632080 1540319816 1630926864 1650342660 1690594920 1732859793 1824062940 1925399770 1980411192 2038658580 2069086320 2200456880 2235948120 2310479724 2432083920 2475513990 2718211440 2888099655 3080639632 3300685320 3381189840 3465719586 3648125880 3850799540 3960822384 4077317160 4471896240 4620959448 4951027980 5776199310 6601370640 6931439172 7296251760 7701599080 8154634320 8664298965 9241918896 9902055960 11552398620 13862878344 15403198160 17328597930 19804111920 23104797240 27725756688 34657195860 46209594480 69314391720 138628783440
- Sum of all divisors σ(n): 636439265280
- Sum of proper divisors (its aliquot sum) s(n): 497810481840
- 138628783440 is an abundant number, because the sum of its proper divisors (497810481840) is greater than itself. Its abundance is 359181698400
Bases of 138628783440
- Binary: 100000010001101110101101011101010100002
- Hexadecimal: 0x2046EB5D50
- Base-36: 1RONZXW0
Squares and roots of 138628783440
- 138628783440 squared (1386287834402) is 19217939598054418233600
- 138628783440 cubed (1386287834403) is 2664159586701686590640921731584000
-
The
square root of 138628783440 is 372328.8646344787 -
The
cube root of 138628783440 is 5175.4859906255
Scales and comparisons
How big is 138628783440?- 138,628,783,440 seconds is equal to 4,407 years, 50 weeks, 1 day, 19 hours, 24 minutes.
-
To count from 1 to 138,628,783,440 would take you about eight thousand, eight hundred fifteen 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 138628783440 cubic inches would be around 431.3 feet tall.
Recreational maths with 138628783440
- 138628783440 backwards is 044387826831
- The number of decimal digits it has is: 12
- The sum of 138628783440's digits is 54
- More coming soon!
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"Number 138628783440 - Facts about the integer". Numbermatics.com. 2024. Web. 26 September 2024.
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Numbermatics. (2024). Number 138628783440 - Facts about the integer. Retrieved 26 September 2024, from https://numbermatics.com/n/138628783440/
Chicago style:
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The information we have on file for 138628783440 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 138628783440, math, Factors of 138628783440, curriculum, school, college, exams, university, Prime factorization of 138628783440, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-eight billion, six hundred twenty-eight million, seven hundred eighty-three thousand, four hundred forty.