138835435825008
138,835,435,825,008 is an even composite number composed of eight prime numbers multiplied together.
138835435825008 is an even composite number. It is composed of eight distinct prime numbers multiplied together. It has a total of one thousand, two hundred eighty divisors.
Prime factorization of 138835435825008:
24 × 33 × 13 × 29 × 31 × 139 × 181 × 1093
(2 × 2 × 2 × 2 × 3 × 3 × 3 × 13 × 29 × 31 × 139 × 181 × 1093)See below for interesting mathematical facts about the number 138835435825008 from the Numbermatics database.
Names of 138835435825008
- Cardinal: 138835435825008 can be written as One hundred thirty-eight trillion, eight hundred thirty-five billion, four hundred thirty-five million, eight hundred twenty-five thousand and eight.
Scientific notation
- Scientific notation: 1.38835435825008 × 1014
Factors of 138835435825008
Divisors of 138835435825008
- Number of divisors d(n): 1280
-
Complete list of divisors:
1 2 3 4 6 8 9 12 13 16 18 24 26 27 29 31 36 39 48 52 54 58 62 72 78 87 93 104 108 116 117 124 139 144 156 174 181 186 208 216 232 234 248 261 278 279 312 348 351 362 372 377 403 417 432 464 468 496 522 543 556 558 624 696 702 724 744 754 783 806 834 837 899 936 1044 1086 1093 1112 1116 1131 1209 1251 1392 1404 1448 1488 1508 1566 1612 1629 1668 1674 1798 1807 1872 2088 2172 2186 2224 2232 2262 2353 2418 2502 2697 2808 2896 3016 3132 3224 3258 3279 3336 3348 3393 3596 3614 3627 3753 4031 4176 4309 4344 4372 4464 4524 4706 4836 4887 5004 5249 5394 5421 5611 5616 6032 6264 6448 6516 6558 6672 6696 6786 7059 7192 7228 7254 7506 8062 8091 8618 8688 8744 9048 9412 9672 9774 9837 10008 10179 10498 10788 10842 10881 11222 11687 12093 12528 12927 13032 13116 13392 13572 14118 14209 14384 14456 14508 15012 15747 16124 16182 16263 16833 17236 17488 18096 18824 19344 19548 19674 20016 20358 20996 21177 21576 21684 21762 22444 23374 24186 24273 25159 25854 26064 26232 27144 28236 28418 28912 29016 29511 30024 31494 31697 32248 32364 32526 33666 33883 34472 35061 36279 37648 38781 39096 39348 40716 41992 42354 42627 43152 43368 43524 44888 46748 47241 48372 48546 48789 50318 50499 51708 52403 52464 54288 56017 56472 56836 58032 59022 60048 62988 63394 63531 64496 64728 65052 67332 67766 68237 68944 70122 72558 72943 75477 77562 78192 78696 81432 83984 84708 85254 86736 87048 89776 93496 94482 95091 96744 97092 97578 100636 100998 101649 103416 104806 105183 108837 112034 112944 113672 116343 118044 124961 125976 126788 127062 127881 129456 130104 134664 135532 136474 140244 141723 145116 145886 150954 151497 151927 155124 157209 157392 162719 162864 168051 169416 170508 174096 186992 188964 190182 193488 194184 195156 197833 201272 201996 203298 204711 206832 209612 210366 217674 218829 224068 226431 227344 232686 236088 249922 251952 253576 254124 255762 260208 269328 271064 272948 280488 283446 285273 290232 291772 301908 302994 303854 304947 310248 314418 315549 325438 327067 336102 338832 341016 374883 377928 380364 383643 388368 390312 395666 402544 403992 406596 409422 412061 419224 420732 435348 437658 440479 448136 452862 455781 465372 471627 472176 488157 499844 504153 507152 508248 511524 542128 545896 560976 566892 570546 580464 583544 593499 603816 605988 607708 609894 614133 620496 628836 631098 650876 654134 656487 672204 679293 682032 729611 749766 755856 760728 767286 779929 780624 791332 807984 813192 818844 824122 838448 841464 855819 870696 875316 880958 896272 905724 911562 914841 930744 943254 976314 981201 982607 999688 1008306 1016496 1023048 1091792 1124649 1133784 1141092 1167088 1186998 1207632 1211976 1215416 1219788 1228266 1236183 1257672 1262196 1301752 1308268 1312974 1321437 1344408 1358586 1367343 1414881 1459222 1464471 1499532 1512459 1521456 1534572 1559858 1582664 1624493 1626384 1637688 1648244 1682928 1711638 1741392 1750632 1761916 1780497 1811448 1823124 1829682 1842399 1861488 1886508 1952628 1962402 1965214 1969461 1975051 1999376 2016612 2046096 2115347 2188833 2249298 2267568 2282184 2339787 2373996 2423952 2430832 2439576 2456532 2472366 2515344 2524392 2571829 2603504 2616536 2625948 2642874 2688816 2717172 2734686 2829762 2918444 2928942 2943603 2947821 2999064 3024918 3069144 3119716 3165328 3248986 3275376 3296488 3373947 3423276 3501264 3523832 3560994 3622896 3646248 3659364 3684798 3708549 3773016 3905256 3924804 3930428 3938922 3950102 3964311 4033224 4102029 4230694 4377666 4393413 4405883 4498596 4564368 4679574 4709737 4747992 4873479 4879152 4913064 4944732 5048784 5143658 5233072 5251896 5285748 5341491 5434344 5469372 5659524 5737157 5836888 5857884 5887206 5895642 5925153 5998128 6049836 6132823 6138288 6239432 6346041 6497972 6566499 6592976 6747894 6846552 7019361 7047664 7121988 7292496 7318728 7369596 7417098 7546032 7715487 7810512 7849608 7860856 7877844 7900204 7928622 8066448 8204058 8461388 8755332 8786826 8811766 8830809 8843463 8997192 9359148 9419474 9484943 9495984 9746958 9826128 9889464 10139077 10287316 10503792 10571496 10682982 10868688 10938744 11125647 11319048 11474314 11673776 11715768 11774412 11791284 11850306 11892933 12099672 12265646 12478864 12692082 12773891 12995944 13132998 13217649 13495788 13693104 14038722 14129211 14243976 14620437 14637456 14739192 14834196 15430974 15699216 15721712 15755688 15800408 15857244 16408116 16922776 17211471 17510664 17573652 17623532 17661618 17686926 17775459 17994384 18398469 18718296 18838948 18969886 19038123 19493916 19699497 19778928 20278154 20574632 21058083 21142992 21365964 21877488 22251294 22617941 22638096 22948628 23146461 23431536 23548824 23582568 23700612 23785866 24199344 24531292 25384164 25547782 25991888 26265996 26435298 26530389 26991576 27498787 28077444 28258422 28454829 28487952 29240874 29478384 29668392 30417231 30861948 31511376 31600816 31714488 32816232 33845552 34422942 35021328 35147304 35247064 35323236 35373852 35550918 36796938 37436592 37677896 37939772 38076246 38321673 38987832 39398994 39652947 40556308 41149264 42116166 42387633 42731928 43861311 44502588 45235882 45897256 46292922 47097648 47165136 47401224 47571732 49062584 50768328 51095564 51634413 52531992 52870596 53060778 53326377 53983152 54997574 55195407 56154888 56516844 56909658 57114369 57276479 58481748 59336784 60834462 61226581 61723896 63428976 65632464 67853823 68845884 69439383 70294608 70494128 70646472 70747704 71101836 73593876 74583041 75355792 75879544 76152492 76643346 77975664 78797988 79305894 79726699 81112616 82496361 84232332 84775266 85364487 85463856 87722622 89005176 90471764 91251693 91794512 92585844 94802448 95143464 98125168 101536656 102191128 103268826 105063984 105741192 106121556 106652754 109995148 110390814 112309776 113033688 113819316 114228738 114552958 114965019 116963496 118958841 121668924 122453162 123447792 127162899 135707646 136582373 137691768 138878766 141292944 141495408 142203672 147187752 149166082 151759088 152304984 153286692 154903239 157595976 158611788 159453398 162225232 164992722 165586221 168464664 169550532 170728974 171829437 175445244 177851867 178010352 180943528 182503386 183679743 185171688 190286928 203561469 204382256 206537652 211482384 212243112 213305508 219990296 220781628 223749123 226067376 227638632 228457476 229105916 229930038 233926992 237917682 239180097 243337848 244906324 247489083 254325798 256093461 271415292 273164746 273755079 275383536 277757532 284407344 294033233 294375504 298332164 304609968 306573384 309806478 315191952 317223576 318906796 329985444 331172442 336929328 339101064 341457948 343658874 344895057 350890488 355703734 357484231 361887056 365006772 367359486 370343376 407122938 409747119 413075304 424486224 426611016 439980592 441563256 447498246 455277264 456914952 458211832 459860076 475835364 478360194 486675696 489812648 494978166 508651596 512186922 515488311 533555601 542830584 546329492 547510158 551039229 555515064 588066466 596664328 610684407 613146768 619612956 634447152 637813592 659970888 662344884 671247369 678202128 682915896 687317748 689790114 701780976 711407468 714968462 717540291 730013544 734718972 742467249 797464823 814245876 819494238 826150608 852462397 853222032 882099699 883126512 894996492 913829904 916423664 919720152 951670728 956720388 979625296 989956332 1017303192 1024373844 1030976622 1067111202 1072452693 1085661168 1092658984 1095020316 1102078458 1111030128 1176132932 1193328656 1221368814 1229241357 1239225912 1275627184 1319941776 1324689768 1342494738 1365831792 1374635496 1379580228 1422814936 1429936924 1435080582 1460027088 1469437944 1484934498 1546464933 1594929646 1600666803 1628491752 1638988476 1653117687 1704924794 1764199398 1775570849 1789992984 1839440304 1903341456 1913440776 1979912664 2013742107 2034606384 2048747688 2061953244 2134222404 2144905386 2152620873 2185317968 2190040632 2204156916 2312074271 2352265864 2392394469 2442737628 2458482714 2478451824 2557387191 2646299097 2649379536 2684989476 2749270992 2759160456 2845629872 2859873848 2870161164 2938875888 2969868996 3092929866 3189859292 3201333606 3217358079 3256983504 3277976952 3306235374 3409849588 3528398796 3551141698 3579985968 3687724071 3826881552 3959825328 4027484214 4097495376 4123906488 4268444808 4289810772 4305241746 4380081264 4408313832 4624148542 4704531728 4784788938 4802000409 4885475256 4916965428 5114774382 5292598194 5326712547 5369978952 5518320912 5719747696 5740322328 5939737992 6185859732 6379718584 6402667212 6434716158 6555953904 6612470748 6819699176 6936222813 7056797592 7102283396 7177183407 7375448142 7672161573 7938897291 8054968428 8247812976 8536889616 8579621544 8610483492 8816627664 9248297084 9569577876 9604000818 9652074237 9770950512 9833930856 10229548764 10367042699 10585196388 10653425094 10739957904 11082011161 11480644656 11879475984 12371719464 12759437168 12805334424 12869432316 13224941496 13639398352 13872445626 14113595184 14204566792 14354366814 14750896284 15344323146 15877794582 15980137641 16109936856 17159243088 17220966984 18496594168 19139155752 19208001636 19304148474 19667861712 20459097528 20734085398 20808668439 21170392776 21306850188 21531550221 22164022322 23016484719 24721409513 24743438928 25610668848 25738864632 26449882992 27744891252 28409133584 28708733628 29501792568 30688646292 31101128097 31755589164 31960275282 32219873712 33246033483 34441933968 36993188336 38278311504 38416003272 38608296948 40918195056 41468170796 41617336878 42340785552 42613700376 43063100442 44328044644 46032969438 47940412923 49442819026 51477729264 55489782504 57417467256 59003585136 61377292584 62202256194 62426005317 63511178328 63920550564 66492066966 74164228539 76832006544 77216593896 82936341592 83234673756 85227400752 86126200884 88656089288 92065938876 93303384291 95880825846 98885638052 99738100449 110979565008 114834934512 122754585168 124404512388 124852010634 127022356656 127841101128 132984133932 148328457078 154433187792 165872683184 166469347512 172252401768 177312178576 184131877752 186606768582 191761651692 197771276104 199476200898 222492685617 248809024776 249704021268 255682202256 265968267864 279910152873 296656914156 299214301347 321378323669 332938695024 344504803536 368263755504 373213537164 383523303384 395542552208 398952401796 444985371234 497618049552 499408042536 531936535728 559820305746 593313828312 598428602694 642756647338 667478056851 746427074328 767046606768 797904803592 889970742468 964134971007 998816085072 1119640611492 1186627656624 1196857205388 1285513294676 1334956113702 1492854148656 1595809607184 1779941484936 1928269942014 2239281222984 2393714410776 2571026589352 2669912227404 2892404913021 3559882969872 3856539884028 4478562445968 4787428821552 5142053178704 5339824454808 5784809826042 7713079768056 8677214739063 10679648909616 11569619652084 15426159536112 17354429478126 23139239304168 34708858956252 46278478608336 69417717912504 138835435825008
- Sum of all divisors σ(n): 464555599872000
- Sum of proper divisors (its aliquot sum) s(n): 325720164046992
- 138835435825008 is an abundant number, because the sum of its proper divisors (325720164046992) is greater than itself. Its abundance is 186884728221984
Bases of 138835435825008
- Binary: 111111001000101001001001101010110100111011100002
- Hexadecimal: 0x7E4524D5A770
- Base-36: 1D7O49V5O0
Squares and roots of 138835435825008
- 138835435825008 squared (1388354358250082) is 19275278240719914797598200064
- 138835435825008 cubed (1388354358250083) is 2676091655198642834907338528439363678400512
-
The
square root of 138835435825008 is 11782844.9800974637 -
The
cube root of 138835435825008 is 51780.5639361811
Scales and comparisons
How big is 138835435825008?- 138,835,435,825,008 seconds is equal to 4,414,537 years, 21 weeks, 3 days, 8 hours, 16 minutes, 48 seconds.
-
To count from 1 to 138,835,435,825,008 would take you about eleven million, thirty-six thousand, three hundred forty-three 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 138835435825008 cubic inches would be around 4315 feet tall.
Recreational maths with 138835435825008
- 138835435825008 backwards is 800528534538831
- The number of decimal digits it has is: 15
- The sum of 138835435825008's digits is 63
- More coming soon!
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"Number 138835435825008 - Facts about the integer". Numbermatics.com. 2024. Web. 25 September 2024.
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The information we have on file for 138835435825008 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 138835435825008, math, Factors of 138835435825008, curriculum, school, college, exams, university, Prime factorization of 138835435825008, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-eight trillion, eight hundred thirty-five billion, four hundred thirty-five million, eight hundred twenty-five thousand and eight.