135813381488640

Names of 135813381488640

• Cardinal: 135813381488640 can be written as One hundred thirty-five trillion, eight hundred thirteen billion, three hundred eighty-one million, four hundred eighty-eight thousand, six hundred forty.

Scientific notation

• Scientific notation: 1.3581338148864 × 10¹⁴

Factors of 135813381488640

• Number of distinct prime factors ω(n): 4
• Total number of prime factors Ω(n): 26
• Sum of prime factors: 663

Divisors of 135813381488640

• Number of divisors d(n): 684
• 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 96 108 120 128 135 144 160 162 180 192 216 240 243 256 270 288 320 324 360 384 405 432 480 486 512 540 576 640 648 653 720 768 810 864 960 972 1024 1080 1152 1215 1280 1296 1306 1440 1536 1620 1728 1920 1944 1959 2048 2160 2304 2430 2560 2592 2612 2880 3072 3240 3265 3456 3840 3888 3918 4096 4320 4608 4860 5120 5184 5224 5760 5877 6144 6480 6530 6912 7680 7776 7836 8192 8640 9216 9720 9795 10240 10368 10448 11520 11754 12288 12960 13060 13824 15360 15552 15672 16384 17280 17631 18432 19440 19590 20480 20736 20896 23040 23508 24576 25920 26120 27648 29385 30720 31104 31344 32768 34560 35262 36864 38880 39180 40960 41472 41792 46080 47016 49152 51840 52240 52893 55296 58770 61440 62208 62688 65536 69120 70524 73728 77760 78360 81920 82944 83584 88155 92160 94032 98304 103680 104480 105786 110592 117540 122880 124416 125376 131072 138240 141048 147456 155520 156720 158679 163840 165888 167168 176310 184320 188064 196608 207360 208960 211572 221184 235080 245760 248832 250752 262144 264465 276480 282096 294912 311040 313440 317358 327680 331776 334336 352620 368640 376128 393216 414720 417920 423144 426409 442368 470160 491520 497664 501504 528930 552960 564192 589824 622080 626880 634716 655360 663552 668672 705240 737280 752256 786432 793395 829440 835840 846288 852818 884736 940320 983040 995328 1003008 1057860 1105920 1128384 1179648 1244160 1253760 1269432 1279227 1310720 1327104 1337344 1410480 1474560 1504512 1586790 1658880 1671680 1692576 1705636 1769472 1880640 1966080 1990656 2006016 2115720 2132045 2211840 2256768 2359296 2488320 2507520 2538864 2558454 2654208 2674688 2820960 2949120 3009024 3173580 3317760 3343360 3385152 3411272 3538944 3761280 3837681 3932160 3981312 4012032 4231440 4264090 4423680 4513536 4976640 5015040 5077728 5116908 5308416 5349376 5641920 5898240 6018048 6347160 6396135 6635520 6686720 6770304 6822544 7077888 7522560 7675362 7962624 8024064 8462880 8528180 8847360 9027072 9953280 10030080 10155456 10233816 10616832 10698752 11283840 11513043 11796480 12036096 12694320 12792270 13271040 13373440 13540608 13645088 15045120 15350724 15925248 16048128 16925760 17056360 17694720 18054144 19188405 19906560 20060160 20310912 20467632 21233664 21397504 22567680 23026086 24072192 25388640 25584540 26542080 26746880 27081216 27290176 30090240 30701448 31850496 32096256 33851520 34112720 34539129 35389440 36108288 38376810 39813120 40120320 40621824 40935264 42795008 45135360 46052172 48144384 50777280 51169080 53084160 53493760 54162432 54580352 57565215 60180480 61402896 63700992 64192512 67703040 68225440 69078258 72216576 76753620 79626240 80240640 81243648 81870528 85590016 90270720 92104344 96288768 101554560 102338160 103617387 106168320 106987520 108324864 109160704 115130430 120360960 122805792 128385024 135406080 136450880 138156516 144433152 153507240 159252480 160481280 162487296 163741056 171180032 172695645 180541440 184208688 192577536 203109120 204676320 207234774 213975040 216649728 218321408 230260860 240721920 245611584 256770048 270812160 272901760 276313032 288866304 307014480 318504960 320962560 324974592 327482112 345391290 361082880 368417376 385155072 406218240 409352640 414469548 427950080 433299456 436642816 460521720 481443840 491223168 513540096 518086935 541624320 545803520 552626064 577732608 614028960 641925120 649949184 654964224 690782580 722165760 736834752 770310144 812436480 818705280 828939096 855900160 866598912 873285632 921043440 962887680 982446336 1036173870 1083248640 1091607040 1105252128 1155465216 1228057920 1283850240 1299898368 1309928448 1381565160 1444331520 1473669504 1540620288 1624872960 1637410560 1657878192 1733197824 1746571264 1842086880 1925775360 1964892672 2072347740 2166497280 2183214080 2210504256 2310930432 2456115840 2567700480 2599796736 2619856896 2763130320 2888663040 2947339008 3249745920 3274821120 3315756384 3466395648 3493142528 3684173760 3851550720 3929785344 4144695480 4332994560 4366428160 4421008512 4621860864 4912231680 5199593472 5239713792 5526260640 5777326080 5894678016 6499491840 6549642240 6631512768 6932791296 6986285056 7368347520 7703101440 7859570688 8289390960 8665989120 8732856320 8842017024 9824463360 10399186944 10479427584 11052521280 11554652160 11789356032 12998983680 13099284480 13263025536 13865582592 13972570112 14736695040 15719141376 16578781920 17331978240 17465712640 17684034048 19648926720 20798373888 20958855168 22105042560 23109304320 23578712064 25997967360 26198568960 26526051072 27945140224 29473390080 31438282752 33157563840 34663956480 34931425280 35368068096 39297853440 41596747776 41917710336 44210085120 47157424128 51995934720 52397137920 53052102144 55890280448 58946780160 62876565504 66315127680 69327912960 69862850560 70736136192 78595706880 83835420672 88420170240 94314848256 103991869440 104794275840 106104204288 111780560896 117893560320 125753131008 132630255360 139725701120 141472272384 157191413760 167670841344 176840340480 188629696512 207983738880 209588551680 212208408576 235787120640 251506262016 265260510720 279451402240 282944544768 314382827520 335341682688 353680680960 377259393024 419177103360 424416817152 471574241280 503012524032 530521021440 558902804480 565889089536 628765655040 707361361920 754518786048 838354206720 848833634304 943148482560 1006025048064 1061042042880 1131778179072 1257531310080 1414722723840 1509037572096 1676708413440 1697667268608 1886296965120 2122084085760 2263556358144 2515062620160 2829445447680 3018075144192 3395334537216 3772593930240 4244168171520 4527112716288 5030125240320 5658890895360 6790669074432 7545187860480 8488336343040 9054225432576 11317781790720 13581338148864 15090375720960 16976672686080 22635563581440 27162676297728 33953345372160 45271127162880 67906690744320 135813381488640
• Sum of all divisors σ(n): 489005416712904
• Sum of proper divisors (its aliquot sum) s(n): 353192035224264
• 135813381488640 is an abundant number, because the sum of its proper divisors (353192035224264) is greater than itself. Its abundance is 217378653735624

Bases of 135813381488640

• Binary: 11110111000010110000100010111000000000000000000₂
• Hexadecimal: 0x7B85845C0000
• Base-36: 1C53T0QO00

Squares and roots of 135813381488640

• 135813381488640 squared (135813381488640²) is 18445274591378862222449049600
• 135813381488640 cubed (135813381488640³) is 2505115114741655706695346762790201196544000
• The square root of 135813381488640 is 11653899.8403384263
• The cube root of 135813381488640 is 51402.0990488405

Scales and comparisons

• 135,813,381,488,640 seconds is equal to 4,318,445 years, 22 weeks, 3 days, 14 hours, 24 minutes.
• To count from 1 to 135,813,381,488,640 would take you about ten million, seven hundred ninety-six thousand, one hundred thirteen 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 135813381488640 cubic inches would be around 4283.5 feet tall.

Recreational maths with 135813381488640

• 135813381488640 backwards is 046884183318531
• The number of decimal digits it has is: 15
• The sum of 135813381488640's digits is 63
• More coming soon!