138358833523456
138,358,833,523,456 is an even composite number composed of five prime numbers multiplied together.
What does the number 138358833523456 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 864 divisors.
138358833523456 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of eight hundred sixty-four divisors.
Prime factorization of 138358833523456:
28 × 73 × 132 × 31 × 673
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 7 × 7 × 7 × 13 × 13 × 31 × 67 × 67 × 67)See below for interesting mathematical facts about the number 138358833523456 from the Numbermatics database.
Names of 138358833523456
- Cardinal: 138358833523456 can be written as One hundred thirty-eight trillion, three hundred fifty-eight billion, eight hundred thirty-three million, five hundred twenty-three thousand, four hundred fifty-six.
Scientific notation
- Scientific notation: 1.38358833523456 × 1014
Factors of 138358833523456
Divisors of 138358833523456
- Number of divisors d(n): 864
-
Complete list of divisors:
1 2 4 7 8 13 14 16 26 28 31 32 49 52 56 62 64 67 91 98 104 112 124 128 134 169 182 196 208 217 224 248 256 268 338 343 364 392 403 416 434 448 469 496 536 637 676 686 728 784 806 832 868 871 896 938 992 1072 1183 1274 1352 1372 1456 1519 1568 1612 1664 1736 1742 1792 1876 1984 2077 2144 2366 2548 2704 2744 2821 2912 3038 3136 3224 3283 3328 3472 3484 3752 3968 4154 4288 4459 4489 4732 5096 5239 5408 5488 5642 5824 6076 6097 6272 6448 6566 6944 6968 7504 7936 8281 8308 8576 8918 8978 9464 10192 10478 10633 10816 10976 11284 11323 11648 12152 12194 12544 12896 13132 13888 13936 14539 15008 16562 16616 17152 17836 17956 18928 19747 20384 20956 21266 21632 21952 22568 22646 22981 23296 24304 24388 25792 26264 27001 27776 27872 29078 30016 31423 33124 33232 35672 35912 36673 37856 39494 40768 41912 42532 42679 43264 43904 45136 45292 45962 48608 48776 51584 52528 54002 55552 55744 57967 58156 58357 60032 62846 66248 66464 71344 71824 73346 75712 78988 79261 81536 83824 85064 85358 87808 90272 90584 91924 97216 97552 101773 103168 105056 108004 111488 115934 116312 116714 120064 125692 132496 132928 138229 139159 142688 143648 146692 151424 157976 158522 163072 167648 170128 170716 180544 181168 183848 189007 194432 195104 203546 210112 216008 219961 222976 231868 232624 233428 251384 256711 264992 265856 276458 278318 285376 287296 293384 298753 300763 302848 315952 317044 335296 340256 341432 351013 361088 362336 367696 378014 388864 390208 407092 408499 420224 432016 439922 463736 465248 466856 502768 513422 529984 531712 552916 554827 556636 570752 574592 586768 597506 601526 631904 634088 670592 680512 682864 702026 712411 722176 724672 735392 756028 758641 780416 814184 816998 840448 864032 879844 927472 930496 933712 974113 1005536 1026844 1059968 1105832 1109654 1113272 1141504 1149184 1173536 1195012 1203052 1263808 1268176 1323049 1341184 1361024 1365728 1404052 1424822 1449344 1470784 1512056 1517282 1539727 1560832 1628368 1633996 1728064 1759688 1796977 1809067 1854944 1860992 1867424 1948226 2011072 2053688 2105341 2119936 2211664 2219308 2226544 2347072 2390024 2406104 2457091 2527616 2536352 2646098 2722048 2731456 2808104 2849644 2859493 2898688 2941568 3024112 3034564 3079454 3256736 3267992 3456128 3519376 3593954 3618134 3709888 3721984 3734848 3883789 3896452 3909919 4022144 4107376 4210682 4423328 4438616 4453088 4694144 4780048 4812208 4914182 5055232 5072704 5292196 5310487 5462912 5616208 5699288 5718986 5883136 6048224 6069128 6158908 6513472 6535984 6818791 6912256 7038752 7187908 7236268 7419776 7469696 7767578 7792904 7819838 8044288 8214752 8421364 8846656 8877232 8906176 9261343 9323653 9388288 9560096 9624416 9828364 10145408 10584392 10620974 10925824 11232416 11398576 11437972 12096448 12138256 12317816 12663469 13026944 13071968 13637582 14077504 14375816 14472536 14737387 14839552 14939392 15535156 15585808 15639676 16429504 16842728 17199637 17693312 17754464 17812352 18522686 18647306 19120192 19248832 19656728 20016451 20290816 21168784 21241948 22464832 22797152 22875944 23517871 24192896 24276512 24635632 25326938 26053888 26143936 27275164 27369433 28155008 28751632 28945072 29474774 31070312 31171616 31279352 32859008 33685456 34399274 35386624 35508928 35624704 37045372 37173409 37294612 38240384 38497664 39313456 40032902 42337568 42483896 44929664 45594304 45751888 47035742 47731537 48385792 48553024 49271264 50653876 50828947 52287872 54550328 54738866 56310016 57503264 57890144 58949548 62140624 62343232 62558704 65265571 65718016 67370912 68798548 71017856 74090744 74346818 74589224 76480768 76995328 78626912 80065804 84675136 84967792 88644283 89859328 91188608 91503776 94071484 95463074 97106048 98542528 101307752 101657894 103161709 104575744 109100656 109477732 115006528 115780288 117899096 120397459 121207489 124281248 124686464 125117408 130531142 134741824 137597096 142035712 148181488 148693636 149178448 157253824 160131608 164625097 169350272 169935584 177288566 182377216 183007552 188142968 190926148 191586031 194212096 197085056 202615504 203315788 206323418 218201312 218955464 230013056 231560576 235798192 240794918 242414978 248562496 249372928 250234816 260213863 261062284 269483648 275194192 296362976 297387272 298356896 314507648 320263216 329250194 338700544 339871168 354577132 355802629 366015104 376285936 381852296 383172062 394170112 405231008 406631576 412646836 436402624 437910928 456858997 460026112 463121152 471596384 481589836 484829956 497124992 500469632 520427726 522124568 538967296 550388384 592725952 594774544 596713792 620509981 629015296 640526432 658500388 679742336 709154264 711605258 732030208 752571872 763704592 766344124 810462016 813263152 825293672 848452423 872805248 875821856 913717994 943192768 963179672 969659912 994249984 1000939264 1040855452 1044249136 1100776768 1152375679 1185451904 1189549088 1193427584 1241019962 1281052864 1317000776 1341102217 1359484672 1418308528 1423210516 1505143744 1527409184 1532688248 1575697357 1620924032 1626526304 1650587344 1696904846 1745610496 1751643712 1827435988 1886385536 1926359344 1939319824 2081710904 2088498272 2201553536 2304751358 2370903808 2379098176 2386855168 2482039924 2490618403 2562105728 2634001552 2682204434 2836617056 2846421032 3010287488 3054818368 3065376496 3151394714 3198012979 3241848064 3253052608 3301174688 3393809692 3503287424 3654871976 3772771072 3852718688 3878639648 4163421808 4176996544 4403107072 4609502716 4758196352 4964079848 4981236806 5124211456 5268003104 5364408868 5673234112 5692842064 5939166961 6020574976 6109636736 6130752992 6302789428 6396025958 6506105216 6602349376 6787619384 7006574848 7309743952 7705437376 7757279296 8066629753 8326843616 8353993088 9219005432 9516392704 9928159696 9962473612 10536006208 10728817736 11029881499 11346468224 11385684128 11878333922 12219273472 12261505984 12605578856 12792051916 13012210432 13204698752 13575238768 14619487904 15410874752 15514558592 16133259506 16653687232 16707986176 17434328821 18438010864 19856319392 19924947224 21072012416 21457635472 22059762998 22692936448 22771368256 23756667844 24523011968 25211157712 25584103832 26409397504 27150477536 29238975808 30821749504 31029117184 32266519012 33307374464 34868657642 36876021728 39712638784 39849894448 41574168727 42144024832 42915270944 44119525996 45542736512 47513335688 49046023936 50422315424 51168207664 54300955072 58477951616 64533038024 66614748928 69737315284 73752043456 77209170493 79425277568 79699788896 83148337454 85830541888 88239051992 91085473024 95026671376 100844630848 102336415328 108601910144 116955903232 129066076048 139474630568 147504086912 154418340986 158850555136 159399577792 166296674908 171661083776 176478103984 190053342752 201689261696 204672830656 217203820288 258132152096 278949261136 295008173824 308836681972 318799155584 332593349816 343322167552 352956207968 380106685504 403378523392 409345661312 516264304192 540464193451 557898522272 617673363944 637598311168 665186699632 705912415936 760213371008 818691322624 1032528608384 1080928386902 1115797044544 1235346727888 1330373399264 1411824831872 1520426742016 2065057216768 2161856773804 2231594089088 2470693455776 2660746798528 2823649663744 4323713547608 4463188178176 4941386911552 5321493597056 8647427095216 9882773823104 10642987194112 17294854190432 19765547646208 34589708380864 69179416761728 138358833523456
- Sum of all divisors σ(n): 365457781248000
- Sum of proper divisors (its aliquot sum) s(n): 227098947724544
- 138358833523456 is an abundant number, because the sum of its proper divisors (227098947724544) is greater than itself. Its abundance is 88740114201088
Bases of 138358833523456
- Binary: 111110111010110001011010001111110101011000000002
- Hexadecimal: 0x7DD62D1FAB00
- Base-36: 1D1L655S74
Squares and roots of 138358833523456
- 138358833523456 squared (1383588335234562) is 19143166813971411847702183936
- 138358833523456 cubed (1383588335234563) is 2648626230326018166384667261087101082402816
-
The
square root of 138358833523456 is 11762603.1780153155 -
The
cube root of 138358833523456 is 51721.2442355799
Scales and comparisons
How big is 138358833523456?- 138,358,833,523,456 seconds is equal to 4,399,382 years, 48 weeks, 4 days, 4 minutes, 16 seconds.
-
To count from 1 to 138,358,833,523,456 would take you about ten million, nine hundred ninety-eight thousand, four hundred fifty-seven 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 138358833523456 cubic inches would be around 4310.1 feet tall.
Recreational maths with 138358833523456
- 138358833523456 backwards is 654325338853831
- 138358833523456 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 138358833523456's digits is 67
- 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 138358833523456 - Facts about the integer". Numbermatics.com. 2024. Web. 6 May 2024.
APA style:
Numbermatics. (2024). Number 138358833523456 - Facts about the integer. Retrieved 6 May 2024, from https://numbermatics.com/n/138358833523456/
Chicago style:
Numbermatics. 2024. "Number 138358833523456 - Facts about the integer". https://numbermatics.com/n/138358833523456/
The information we have on file for 138358833523456 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 138358833523456, math, Factors of 138358833523456, curriculum, school, college, exams, university, Prime factorization of 138358833523456, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-eight trillion, three hundred fifty-eight billion, eight hundred thirty-three million, five hundred twenty-three thousand, four hundred fifty-six.