135385447680

Names of 135385447680

• Cardinal: 135385447680 can be written as One hundred thirty-five billion, three hundred eighty-five million, four hundred forty-seven thousand, six hundred eighty.

Scientific notation

• Scientific notation: 1.3538544768 × 10¹¹

Factors of 135385447680

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 21
• Sum of prime factors: 64

Divisors of 135385447680

• Number of divisors d(n): 1296
• Complete list of divisors:
  1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 27 28 30 32 35 36 40 42 45 47 48 49 54 56 60 63 64 70 72 80 81 84 90 94 96 98 105 108 112 120 126 128 135 140 141 144 147 160 162 168 180 188 189 192 196 210 216 224 235 240 243 245 252 256 270 280 282 288 294 315 320 324 329 336 343 360 376 378 384 392 405 420 423 432 441 448 470 480 486 490 504 540 560 564 567 576 588 630 640 648 658 672 686 705 720 729 735 752 756 768 784 810 840 846 864 882 896 940 945 960 972 980 987 1008 1029 1080 1120 1128 1134 1152 1176 1215 1260 1269 1280 1296 1316 1323 1344 1372 1410 1440 1458 1470 1504 1512 1568 1620 1645 1680 1692 1701 1715 1728 1764 1792 1880 1890 1920 1944 1960 1974 2016 2058 2115 2160 2187 2205 2240 2256 2268 2303 2304 2352 2430 2520 2538 2592 2632 2646 2688 2744 2820 2835 2880 2916 2940 2961 3008 3024 3087 3136 3240 3290 3360 3384 3402 3430 3456 3528 3645 3760 3780 3807 3840 3888 3920 3948 3969 4032 4116 4230 4320 4374 4410 4480 4512 4536 4606 4704 4860 4935 5040 5076 5103 5145 5184 5264 5292 5376 5488 5640 5670 5760 5832 5880 5922 6016 6048 6174 6272 6345 6480 6561 6580 6615 6720 6768 6804 6860 6909 6912 7056 7290 7520 7560 7614 7776 7840 7896 7938 8064 8232 8460 8505 8640 8748 8820 8883 8960 9024 9072 9212 9261 9408 9720 9870 10080 10152 10206 10290 10368 10528 10584 10935 10976 11280 11340 11421 11515 11520 11664 11760 11844 11907 12032 12096 12348 12544 12690 12960 13122 13160 13230 13440 13536 13608 13720 13818 14112 14580 14805 15040 15120 15228 15309 15435 15552 15680 15792 15876 16121 16128 16464 16920 17010 17280 17496 17640 17766 18048 18144 18424 18522 18816 19035 19440 19740 19845 20160 20304 20412 20580 20727 20736 21056 21168 21870 21952 22560 22680 22842 23030 23328 23520 23688 23814 24192 24696 25380 25515 25920 26244 26320 26460 26649 26880 27072 27216 27440 27636 27783 28224 29160 29610 30080 30240 30456 30618 30870 31104 31360 31584 31752 32242 32805 32928 33840 34020 34263 34545 34560 34992 35280 35532 35721 36096 36288 36848 37044 37632 38070 38880 39480 39690 40320 40608 40824 41160 41454 42112 42336 43740 43904 44415 45120 45360 45684 45927 46060 46305 46656 47040 47376 47628 48363 48384 49392 50760 51030 51840 52488 52640 52920 53298 54144 54432 54880 55272 55566 56448 57105 58320 59220 59535 60160 60480 60912 61236 61740 62181 62208 62720 63168 63504 64484 65610 65856 67680 68040 68526 69090 69984 70560 71064 71442 72576 73696 74088 76140 76545 77760 78960 79380 79947 80605 80640 81216 81648 82320 82908 83349 84224 84672 87480 87808 88830 90240 90720 91368 91854 92120 92610 93312 94080 94752 95256 96726 98784 101520 102060 102789 103635 103680 104976 105280 105840 106596 107163 108288 108864 109760 110544 111132 112896 114210 116640 118440 119070 120960 121824 122472 123480 124362 126336 127008 128968 131220 131712 133245 135360 136080 137052 138180 138915 139968 141120 142128 142884 145089 145152 147392 148176 152280 153090 155520 157920 158760 159894 161210 162432 163296 164640 165816 166698 169344 171315 174960 177660 178605 180480 181440 182736 183708 184240 185220 186543 186624 188160 189504 190512 193452 197568 203040 204120 205578 207270 209952 210560 211680 213192 214326 217728 219520 221088 222264 228420 229635 233280 236880 238140 239841 241815 241920 243648 244944 246960 248724 250047 252672 254016 257936 262440 263424 266490 270720 272160 274104 276360 277830 279936 282240 284256 285768 290178 294784 296352 304560 306180 308367 310905 311040 315840 317520 319788 321489 322420 324864 326592 329280 331632 333396 338688 342630 349920 355320 357210 362880 365472 367416 368480 370440 373086 379008 381024 386904 395136 399735 406080 408240 411156 414540 416745 419904 421120 423360 426384 428652 435267 435456 439040 442176 444528 456840 459270 466560 473760 476280 479682 483630 487296 489888 493920 497448 500094 508032 513945 515872 524880 532980 535815 541440 544320 548208 552720 555660 559629 559872 564480 568512 571536 580356 589568 592704 609120 612360 616734 621810 631680 635040 639576 642978 644840 653184 658560 663264 666792 685260 699840 710640 714420 719523 725445 725760 730944 734832 736960 740880 746172 750141 758016 762048 773808 790272 799470 812160 816480 822312 829080 833490 839808 846720 852768 857304 870534 884352 889056 913680 918540 932715 933120 947520 952560 959364 967260 974592 979776 987840 994896 1000188 1016064 1027890 1031744 1049760 1065960 1071630 1088640 1096416 1105440 1111320 1119258 1137024 1143072 1160712 1185408 1199205 1218240 1224720 1233468 1243620 1250235 1263360 1270080 1279152 1285956 1289680 1305801 1306368 1317120 1326528 1333584 1370520 1399680 1421280 1428840 1439046 1450890 1461888 1469664 1473920 1481760 1492344 1500282 1524096 1541835 1547616 1598940 1607445 1624320 1632960 1644624 1658160 1666980 1678887 1679616 1693440 1705536 1714608 1741068 1768704 1778112 1827360 1837080 1865430 1895040 1905120 1918728 1934520 1959552 1975680 1989792 2000376 2055780 2063488 2099520 2131920 2143260 2158569 2176335 2177280 2192832 2210880 2222640 2238516 2250423 2274048 2286144 2321424 2370816 2398410 2436480 2449440 2466936 2487240 2500470 2540160 2558304 2571912 2579360 2611602 2653056 2667168 2741040 2798145 2799360 2842560 2857680 2878092 2901780 2923776 2939328 2947840 2963520 2984688 3000564 3048192 3083670 3095232 3197880 3214890 3265920 3289248 3316320 3333960 3357774 3411072 3429216 3482136 3556224 3597615 3654720 3674160 3730860 3750705 3790080 3810240 3837456 3869040 3917403 3919104 3951360 3979584 4000752 4111560 4126976 4199040 4263840 4286520 4317138 4352670 4385664 4421760 4445280 4477032 4500846 4572288 4642848 4796820 4872960 4898880 4933872 4974480 5000940 5036661 5080320 5116608 5143824 5158720 5223204 5306112 5334336 5482080 5596290 5685120 5715360 5756184 5803560 5878656 5927040 5969376 6001128 6167340 6190464 6395760 6429780 6529005 6531840 6578496 6632640 6667920 6715548 6822144 6858432 6964272 7112448 7195230 7309440 7348320 7461720 7501410 7620480 7674912 7738080 7834806 7959168 8001504 8223120 8394435 8398080 8527680 8573040 8634276 8705340 8771328 8843520 8890560 8954064 9001692 9144576 9285696 9593640 9797760 9867744 9948960 10001880 10073322 10233216 10287648 10317440 10446408 10668672 10792845 10964160 11192580 11252115 11370240 11430720 11512368 11607120 11752209 11757312 11854080 11938752 12002256 12334680 12380928 12791520 12859560 13058010 13156992 13265280 13335840 13431096 13716864 13928544 14390460 14618880 14696640 14923440 15002820 15109983 15240960 15349824 15476160 15669612 15918336 16003008 16446240 16788870 17055360 17146080 17268552 17410680 17781120 17908128 18003384 18571392 19187280 19587015 19595520 19735488 19897920 20003760 20146644 20466432 20575296 20634880 20892816 21337344 21585690 21928320 22385160 22504230 22861440 23024736 23214240 23504418 23877504 24004512 24669360 25183305 25583040 25719120 26116020 26313984 26530560 26671680 26862192 27433728 27857088 28780920 29393280 29846880 30005640 30219966 30699648 30952320 31339224 32006016 32892480 33577740 34110720 34292160 34537104 34821360 35256627 35562240 35816256 36006768 37142784 38374560 39174030 39470976 39795840 40007520 40293288 41150592 41785632 43171380 43856640 44770320 45008460 45722880 46049472 46428480 47008836 47755008 48009024 49338720 50366610 51166080 51438240 52232040 53343360 53724384 55714176 57561840 58761045 58786560 59693760 60011280 60439932 61399296 61904640 62678448 64012032 65784960 67155480 68584320 69074208 69642720 70513254 71632512 72013536 75549915 76749120 78348060 78941952 79591680 80015040 80586576 82301184 83571264 86342760 89540640 90016920 92098944 92856960 94017672 96018048 98677440 100733220 102332160 102876480 104464080 105769881 106686720 107448768 111428352 115123680 117522090 119387520 120022560 120879864 125356896 131569920 134310960 137168640 138148416 139285440 141026508 143265024 144027072 151099830 153498240 156696120 160030080 161173152 167142528 172685520 176283135 179081280 180033840 184197888 185713920 188035344 192036096 197354880 201466440 205752960 208928160 211539762 214897536 230247360 235044180 238775040 240045120 241759728 250713792 268621920 276296832 278570880 282053016 288054144 302199660 306996480 313392240 320060160 322346304 334285056 345371040 352566270 358162560 360067680 376070688 394709760 402932880 411505920 417856320 423079524 429795072 460494720 470088360 480090240 483519456 501427584 528849405 537243840 552593664 557141760 564106032 576108288 604399320 626784480 644692608 690742080 705132540 716325120 720135360 752141376 805865760 835712640 846159048 920989440 940176720 960180480 967038912 1002855168 1057698810 1074487680 1128212064 1208798640 1253568960 1289385216 1381484160 1410265080 1440270720 1504282752 1611731520 1671425280 1692318096 1880353440 1934077824 2115397620 2148975360 2256424128 2417597280 2507137920 2762968320 2820530160 2880541440 3008565504 3223463040 3384636192 3760706880 3868155648 4230795240 4512848256 4835194560 5014275840 5641060320 6446926080 6769272384 7521413760 8461590480 9025696512 9670389120 11282120640 13538544768 15042827520 16923180960 19340778240 22564241280 27077089536 33846361920 45128482560 67692723840 135385447680
• Sum of all divisors σ(n): 579312115200
• Sum of proper divisors (its aliquot sum) s(n): 443926667520
• 135385447680 is an abundant number, because the sum of its proper divisors (443926667520) is greater than itself. Its abundance is 308541219840

Bases of 135385447680

• Binary: 1111110000101100110011111110100000000₂
• Hexadecimal: 0x1F8599FD00
• Base-36: 1Q710000

Squares and roots of 135385447680

• 135385447680 squared (135385447680²) is 18329219443514017382400
• 135385447680 cubed (135385447680³) is 2481509579985105715671525752832000
• The square root of 135385447680 is 367947.6154019753
• The cube root of 135385447680 is 5134.8054694245

Scales and comparisons

• 135,385,447,680 seconds is equal to 4,304 years, 43 weeks, 4 days, 4 hours, 48 minutes.
• To count from 1 to 135,385,447,680 would take you about eight thousand, six hundred nine 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 135385447680 cubic inches would be around 427.9 feet tall.

Recreational maths with 135385447680

• 135385447680 backwards is 086744583531
• 135385447680 is a Harshad number.
• The number of decimal digits it has is: 12
• The sum of 135385447680's digits is 54
• More coming soon!