138435609312
138,435,609,312 is an even composite number composed of eight prime numbers multiplied together.
138435609312 is an even composite number. It is composed of eight distinct prime numbers multiplied together. It has a total of one thousand, one hundred fifty-two divisors.
Prime factorization of 138435609312:
25 × 32 × 7 × 11 × 13 × 17 × 47 × 601
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 7 × 11 × 13 × 17 × 47 × 601)See below for interesting mathematical facts about the number 138435609312 from the Numbermatics database.
Names of 138435609312
- Cardinal: 138435609312 can be written as One hundred thirty-eight billion, four hundred thirty-five million, six hundred nine thousand, three hundred twelve.
Scientific notation
- Scientific notation: 1.38435609312 × 1011
Factors of 138435609312
Divisors of 138435609312
- Number of divisors d(n): 1152
-
Complete list of divisors:
1 2 3 4 6 7 8 9 11 12 13 14 16 17 18 21 22 24 26 28 32 33 34 36 39 42 44 47 48 51 52 56 63 66 68 72 77 78 84 88 91 94 96 99 102 104 112 117 119 126 132 136 141 143 144 153 154 156 168 176 182 187 188 198 204 208 221 224 231 234 238 252 264 272 273 282 286 288 306 308 312 329 336 352 357 364 374 376 396 408 416 423 429 442 462 468 476 504 517 528 544 546 561 564 572 601 611 612 616 624 658 663 672 693 714 728 748 752 792 799 816 819 846 858 884 924 936 952 987 1001 1008 1034 1056 1071 1092 1122 1128 1144 1202 1222 1224 1232 1248 1287 1309 1316 1326 1386 1428 1456 1496 1504 1547 1551 1584 1598 1632 1638 1683 1692 1716 1768 1803 1833 1848 1872 1904 1974 1989 2002 2016 2068 2142 2184 2244 2256 2288 2397 2404 2431 2444 2448 2464 2574 2618 2632 2652 2772 2856 2912 2961 2992 3003 3094 3102 3168 3196 3276 3366 3384 3432 3536 3606 3619 3666 3696 3744 3808 3927 3948 3978 4004 4136 4207 4277 4284 4368 4488 4512 4576 4641 4653 4794 4808 4862 4888 4896 5148 5236 5264 5304 5409 5499 5544 5593 5712 5922 5984 6006 6188 6204 6392 6552 6611 6721 6732 6768 6864 7072 7191 7212 7238 7293 7332 7392 7813 7854 7896 7956 8008 8272 8414 8554 8568 8736 8789 8976 9009 9282 9306 9588 9616 9724 9776 10217 10296 10387 10472 10528 10608 10818 10857 10998 11088 11186 11424 11781 11844 12012 12376 12408 12621 12784 12831 13104 13222 13442 13464 13536 13728 13923 14382 14424 14476 14586 14664 15626 15708 15792 15912 16016 16544 16779 16828 17017 17108 17136 17578 17952 18018 18564 18612 19176 19232 19448 19552 19833 20163 20434 20592 20774 20944 21216 21636 21714 21879 21996 22176 22372 23439 23562 23688 24024 24752 24816 25242 25568 25662 26208 26367 26444 26884 26928 27846 28247 28764 28848 28952 29172 29328 30651 31161 31252 31416 31584 31824 32032 32571 33558 33656 34034 34216 34272 35156 36036 37128 37224 37863 38352 38493 38896 39666 40326 40868 41184 41548 41888 43272 43428 43758 43992 44744 46277 46878 47047 47124 47376 48048 49504 49632 50337 50484 51051 51324 52734 52888 53768 53856 54691 55692 56494 57528 57696 57904 58344 58656 59499 60489 61302 61523 62322 62504 62832 63648 65142 67116 67312 68068 68432 70312 70317 71519 72072 72709 74256 74448 75726 76704 76986 77792 79101 79332 80652 81736 83096 84741 85943 86544 86856 87516 87984 89488 91953 92554 93483 93756 94094 94248 94752 96096 100674 100968 102102 102648 105468 105776 107536 109382 111384 112387 112988 114257 115056 115808 116688 118998 120978 122604 123046 124644 125008 125664 130284 132821 134232 134624 136136 136864 138831 140624 140634 141141 143038 144144 145418 148512 148896 151452 153153 153972 158202 158664 161304 163472 164073 166192 169482 171886 173088 173712 175032 175968 178976 183906 184569 185108 186966 187512 188188 188496 197729 201348 201936 204204 205296 210936 211552 214557 215072 218127 218764 222768 224774 225976 228514 230112 233376 237996 241956 245208 246092 249288 250016 254223 257829 260568 265642 268464 272272 277662 281248 281268 282282 286076 288288 290836 302904 306306 307944 310717 316404 317328 322608 326944 328146 332384 337161 338964 342771 343772 347424 350064 367211 367812 369138 370216 373932 375024 376376 376992 395458 398463 402696 403872 408408 410592 416493 421872 423423 429114 436254 437528 445536 449548 451952 457028 475992 480199 483912 490416 492184 492219 498576 508446 515658 521136 531284 536928 544544 553707 555324 562536 564564 572152 581672 593187 601601 605808 612612 615888 621434 632808 634656 643671 645216 654381 656292 674322 677928 685542 687544 700128 734422 735624 738276 740432 747864 750048 752752 773487 786709 790916 796926 799799 805392 816816 832986 843744 846846 858228 872508 875056 899096 903904 914056 929747 932151 951984 960398 967824 980832 984368 984438 997152 1011483 1016892 1028313 1031316 1042272 1062568 1101633 1107414 1110648 1125072 1129128 1144304 1163344 1186374 1195389 1203202 1211616 1225224 1231776 1242868 1265616 1287342 1308762 1312584 1348644 1355856 1371084 1375088 1440597 1461031 1468844 1471248 1476552 1480864 1495728 1505504 1546974 1573418 1581832 1593852 1599598 1610784 1633632 1665972 1693692 1716456 1745016 1750112 1779561 1798192 1804803 1828112 1859494 1864302 1903968 1920796 1935648 1968736 1968876 2022966 2033784 2056626 2062632 2125136 2175019 2203266 2214828 2221296 2250144 2258256 2288608 2326688 2360127 2372748 2390778 2399397 2406404 2450448 2485736 2531232 2570477 2574684 2617524 2625168 2697288 2711712 2742168 2750176 2789241 2796453 2881194 2922062 2937688 2942496 2953104 2991456 3093948 3146836 3163664 3187704 3199196 3304899 3331944 3361393 3387384 3432912 3490032 3559122 3596384 3609606 3656224 3718988 3728604 3841592 3937752 4039321 4045932 4067568 4113252 4125264 4250272 4321791 4350038 4383093 4406532 4429656 4442592 4516512 4720254 4745496 4781556 4798794 4812808 4900896 4971472 5140954 5149368 5235048 5250336 5282189 5394576 5414409 5484336 5578482 5592906 5762388 5844124 5875376 5906208 6187896 6242587 6293672 6327328 6375408 6398392 6525057 6609798 6663888 6722786 6774768 6865824 6980064 7080381 7118244 7198191 7219212 7437976 7457208 7683184 7711431 7875504 8078642 8091864 8135136 8226504 8250528 8367723 8643582 8700076 8766186 8813064 8859312 9440508 9490992 9563112 9597588 9625616 9942944 10084179 10227217 10281908 10298736 10470096 10564378 10789152 10828818 10968672 11156964 11185812 11524776 11688248 11750752 12117963 12375792 12485174 12587344 12750816 12796784 13050114 13149279 13219596 13327776 13445572 13549536 14160762 14236488 14396382 14438424 14875952 14914416 15366368 15422862 15751008 15846567 16157284 16183728 16453008 16735446 17287164 17400152 17532372 17626128 17718624 18727761 18881016 18981984 19126224 19195176 19251232 19575171 20168358 20454434 20563816 20597472 20940192 21128756 21657636 22313928 22371624 23049552 23134293 23376496 24235926 24751584 24970348 25174688 25593568 26100228 26298558 26439192 26891144 28275247 28321524 28472976 28792764 28876848 29751904 29828832 30252537 30681651 30845724 31693134 32314568 32367456 32906016 33470892 34574328 34800304 35064744 35252256 36353889 36975323 37455522 37762032 38252448 38390352 39150342 40336716 40908868 41127632 42257512 43315272 43698109 44627856 44743248 46099104 46268586 46752992 47539701 48471852 49940696 52200456 52597116 52878384 53782288 56183283 56550494 56643048 56945952 57585528 57753696 60505074 61363302 61691448 63386268 64629136 66941784 68668457 69148656 69600608 70129488 72707778 73950646 74911044 75524064 76780704 78300684 80673432 81817736 82255264 84515024 84825741 86630544 87396218 89255712 89486496 92044953 92537172 95079402 96943704 99881392 104400912 105194232 105756768 107564576 110925969 112366566 113100988 113286096 115171056 121010148 122726604 123382896 126772536 129258272 131094327 133883568 137336914 138297312 140258976 145415556 147901292 149822088 156601368 161346864 163635472 169030048 169651482 173261088 174792436 184089906 185074344 190158804 193887408 199762784 206005371 208801824 210388464 221851938 224733132 226201976 226572192 230342112 242020296 245453208 246765792 253545072 254477223 262188654 267767136 274673828 290831112 295802584 299644176 313202736 322693728 327270944 332777907 339302964 349584872 368179812 370148688 380317608 387774816 393282981 412010742 420776928 443703876 449466264 452403952 480679199 484040592 490906416 507090144 508954446 524377308 549347656 581662224 591605168 599288352 618016113 626405472 665555814 678605928 699169744 736359624 740297376 760635216 786565962 824021484 887407752 898932528 904807904 961358398 968081184 981812832 1017908892 1048754616 1098695312 1163324448 1183210336 1236032226 1331111628 1357211856 1398339488 1442037597 1472719248 1521270432 1573131924 1648042968 1774815504 1797865056 1922716796 2035817784 2097509232 2197390624 2472064452 2662223256 2714423712 2884075194 2945438496 3146263848 3296085936 3549631008 3845433592 4071635568 4195018464 4326112791 4944128904 5324446512 5768150388 6292527696 6592171872 7690867184 8143271136 8652225582 9888257808 10648893024 11536300776 12585055392 15381734368 17304451164 19776515616 23072601552 34608902328 46145203104 69217804656 138435609312
- Sum of all divisors σ(n): 572523614208
- Sum of proper divisors (its aliquot sum) s(n): 434088004896
- 138435609312 is an abundant number, because the sum of its proper divisors (434088004896) is greater than itself. Its abundance is 295652395584
Bases of 138435609312
- Binary: 100000001110110110011111000010111000002
- Hexadecimal: 0x203B67C2E0
- Base-36: 1RLGZJS0
Squares and roots of 138435609312
- 138435609312 squared (1384356093122) is 19164417925584701113344
- 138435609312 cubed (1384356093123) is 2653037872638133172491181413859328
-
The
square root of 138435609312 is 372069.3608885311 -
The
cube root of 138435609312 is 5173.0809231515
Scales and comparisons
How big is 138435609312?- 138,435,609,312 seconds is equal to 4,401 years, 42 weeks, 5 days, 23 hours, 55 minutes, 12 seconds.
-
To count from 1 to 138,435,609,312 would take you about eight thousand, eight hundred 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 138435609312 cubic inches would be around 431.1 feet tall.
Recreational maths with 138435609312
- 138435609312 backwards is 213906534831
- The number of decimal digits it has is: 12
- The sum of 138435609312's digits is 45
- More coming soon!
Link to this page
HTML: To link to this page, just copy and paste the link below into your blog, web page or email.
BBCODE: To link to this page in a forum post or comment box, just copy and paste the link code below:
Cite this page
MLA style:
"Number 138435609312 - Facts about the integer". Numbermatics.com. 2024. Web. 20 June 2024.
APA style:
Numbermatics. (2024). Number 138435609312 - Facts about the integer. Retrieved 20 June 2024, from https://numbermatics.com/n/138435609312/
Chicago style:
Numbermatics. 2024. "Number 138435609312 - Facts about the integer". https://numbermatics.com/n/138435609312/
The information we have on file for 138435609312 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 138435609312, math, Factors of 138435609312, curriculum, school, college, exams, university, Prime factorization of 138435609312, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-eight billion, four hundred thirty-five million, six hundred nine thousand, three hundred twelve.