138331135825920

Names of 138331135825920

• Cardinal: 138331135825920 can be written as One hundred thirty-eight trillion, three hundred thirty-one billion, one hundred thirty-five million, eight hundred twenty-five thousand, nine hundred twenty.

Scientific notation

• Scientific notation: 1.3833113582592 × 10¹⁴

Factors of 138331135825920

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 21
• Sum of prime factors: 10204

Divisors of 138331135825920

• Number of divisors d(n): 768
• Complete list of divisors:
  1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 64 72 80 81 90 96 108 120 128 135 144 160 162 180 192 216 240 243 256 270 288 320 324 360 384 405 432 480 486 512 540 576 640 647 648 720 729 768 810 864 960 972 1024 1080 1152 1215 1280 1294 1296 1440 1458 1536 1620 1728 1920 1941 1944 2048 2160 2187 2304 2430 2560 2588 2592 2880 2916 3072 3235 3240 3456 3645 3840 3882 3888 4320 4374 4608 4860 5120 5176 5184 5760 5823 5832 6144 6470 6480 6912 7290 7680 7764 7776 8640 8748 9216 9547 9705 9720 10240 10352 10368 10935 11520 11646 11664 12940 12960 13824 14580 15360 15528 15552 17280 17469 17496 18432 19094 19410 19440 20704 20736 21870 23040 23292 23328 25880 25920 27648 28641 29115 29160 30720 31056 31104 34560 34938 34992 38188 38820 38880 41408 41472 43740 46080 46584 46656 47735 51760 51840 52407 55296 57282 58230 58320 62112 62208 69120 69876 69984 76376 77640 77760 82816 82944 85923 87345 87480 92160 93168 93312 95470 103520 103680 104814 114564 116460 116640 124224 124416 138240 139752 139968 143205 152752 155280 155520 157221 165632 165888 171846 174690 174960 186336 186624 190940 207040 207360 209628 229128 232920 233280 248448 248832 257769 262035 276480 279504 279936 286410 305504 310560 311040 314442 331264 343692 349380 349920 372672 373248 381880 414080 414720 419256 429615 458256 465840 466560 471663 496896 497664 515538 524070 559008 559872 572820 611008 621120 622080 628884 662528 687384 698760 699840 745344 746496 763760 773307 786105 828160 829440 838512 859230 916512 931680 933120 943326 993792 1031076 1048140 1118016 1119744 1145640 1222016 1242240 1244160 1257768 1288845 1325056 1374768 1397520 1399680 1414989 1490688 1492992 1527520 1546614 1572210 1656320 1677024 1718460 1833024 1863360 1866240 1886652 1987584 2062152 2096280 2236032 2239488 2291280 2319921 2358315 2444032 2484480 2488320 2515536 2577690 2749536 2795040 2799360 2829978 2981376 3055040 3093228 3144420 3312640 3354048 3436920 3666048 3726720 3732480 3773304 3866535 3975168 4124304 4192560 4472064 4478976 4582560 4639842 4716630 4888064 4968960 5031072 5155380 5499072 5590080 5598720 5659956 5962752 6110080 6176909 6186456 6288840 6625280 6708096 6873840 6959763 7074945 7332096 7453440 7464960 7546608 7733070 8248608 8385120 8944128 9165120 9279684 9433260 9776128 9937920 10062144 10310760 10998144 11180160 11197440 11319912 11599605 11925504 12220160 12353818 12372912 12577680 13416192 13747680 13919526 14149890 14664192 14906880 15093216 15466140 16497216 16770240 17888256 18330240 18530727 18559368 18866520 19552256 19875840 20124288 20621520 20879289 21996288 22360320 22394880 22639824 23199210 24440320 24707636 24745824 25155360 26832384 27495360 27839052 28299780 29328384 29813760 30186432 30884545 30932280 32994432 33540480 34798815 35776512 36660480 37061454 37118736 37733040 40248576 41243040 41758578 43992576 44720640 45279648 46398420 48880640 49415272 49491648 50310720 53664768 54990720 55592181 55678104 56599560 58656768 59627520 60372864 61769090 61864560 65988864 67080960 69597630 73320960 74122908 74237472 75466080 80497152 82486080 83517156 87985152 89441280 90559296 92653635 92796840 97761280 98830544 98983296 100621440 104396445 107329536 109981440 111184362 111356208 113199120 120745728 123538180 123729120 131977728 134161920 139195260 146641920 148245816 148474944 150932160 160994304 164972160 166776543 167034312 175970304 178882560 181118592 185307270 185593680 197661088 197966592 201242880 208792890 219962880 222368724 222712416 226398240 241491456 247076360 247458240 263955456 268323840 277960905 278390520 293283840 296491632 296949888 301864320 321988608 329944320 333553086 334068624 362237184 370614540 371187360 395322176 395933184 402485760 417585780 439925760 444737448 445424832 452796480 482982912 494152720 494916480 500329629 527910912 536647680 555921810 556781040 592983264 593899776 603728640 659888640 667106172 668137248 724474368 741229080 742374720 790644352 791866368 804971520 833882715 835171560 879851520 889474896 890849664 905592960 965965824 988305440 989832960 1000659258 1111843620 1113562080 1185966528 1187799552 1207457280 1319777280 1334212344 1336274496 1448948736 1482458160 1484749440 1500988887 1581288704 1583732736 1609943040 1667765430 1670343120 1778949792 1781699328 1811185920 1976610880 1979665920 2001318516 2223687240 2227124160 2371933056 2375599104 2414914560 2501648145 2639554560 2668424688 2672548992 2897897472 2964916320 2969498880 3001977774 3162577408 3335530860 3340686240 3557899584 3563398656 3622371840 3953221760 3959331840 4002637032 4447374480 4454248320 4502966661 4743866112 4751198208 4829829120 5003296290 5336849376 5345097984 5929832640 5938997760 6003955548 6325154816 6671061720 6681372480 7115799168 7126797312 7244743680 7504944435 7906443520 7918663680 8005274064 8894748960 8908496640 9005933322 9487732224 10006592580 10673698752 10690195968 11859665280 11877995520 12007911096 12650309632 13342123440 13362744960 13508899983 14231598336 14253594624 14489487360 15009888870 15812887040 16010548128 17789497920 17816993280 18011866644 18975464448 20013185160 21347397504 21380391936 22514833305 23719330560 23755991040 24015822192 26684246880 26725489920 27017799966 28463196672 30019777740 31625774080 32021096256 35578995840 35633986560 36023733288 37950928896 40026370320 42694795008 42760783872 45029666610 47438661120 48031644384 53368493760 53450979840 54035599932 56926393344 60039555480 63251548160 64042192512 67544499915 71157991680 71267973120 72047466576 80052740640 85389590016 90059333220 94877322240 96063288768 106736987520 106901959680 108071199864 113852786688 120079110960 128084385024 135088999830 142315983360 144094933152 160105481280 170779180032 180118666440 189754644480 192126577536 213473975040 213803919360 216142399728 240158221920 256168770048 270177999660 284631966720 288189866304 320210962560 341558360064 360237332880 384253155072 426947950080 432284799456 480316443840 512337540096 540355999320 569263933440 576379732608 640421925120 720474665760 768506310144 853895900160 864569598912 960632887680 1024675080192 1080711998640 1152759465216 1280843850240 1440949331520 1537012620288 1707791800320 1729139197824 1921265775360 2161423997280 2305518930432 2561687700480 2881898663040 3074025240576 3458278395648 3842531550720 4322847994560 4611037860864 5123375400960 5763797326080 6916556791296 7685063101440 8645695989120 9222075721728 11527594652160 13833113582592 15370126202880 17291391978240 23055189304320 27666227165184 34582783956480 46110378608640 69165567912960 138331135825920
• Sum of all divisors σ(n): 498616236518400
• Sum of proper divisors (its aliquot sum) s(n): 360285100692480
• 138331135825920 is an abundant number, because the sum of its proper divisors (360285100692480) is greater than itself. Its abundance is 221953964866560

Bases of 138331135825920

• Binary: 11111011100111110111010001101100101100000000000₂
• Hexadecimal: 0x7DCFBA365800
• Base-36: 1D18G2O000

Squares and roots of 138331135825920

• 138331135825920 squared (138331135825920²) is 19135503138889127720543846400
• 138331135825920 cubed (138331135825920³) is 2647035883802990429214101456729237618688000
• The square root of 138331135825920 is 11761425.7565109851
• The cube root of 138331135825920 is 51717.7926911509

Scales and comparisons

• 138,331,135,825,920 seconds is equal to 4,398,502 years, 12 weeks, 19 hours, 12 minutes.
• To count from 1 to 138,331,135,825,920 would take you about ten million, nine hundred ninety-six thousand, two hundred fifty-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 138331135825920 cubic inches would be around 4309.8 feet tall.

Recreational maths with 138331135825920

• 138331135825920 backwards is 029528531133831
• 138331135825920 is a Harshad number.
• The number of decimal digits it has is: 15
• The sum of 138331135825920's digits is 54
• More coming soon!