135318839427072

Names of 135318839427072

• Cardinal: 135318839427072 can be written as One hundred thirty-five trillion, three hundred eighteen billion, eight hundred thirty-nine million, four hundred twenty-seven thousand and seventy-two.

Scientific notation

• Scientific notation: 1.35318839427072 × 10¹⁴

Factors of 135318839427072

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 22
• Sum of prime factors: 806

Divisors of 135318839427072

• Number of divisors d(n): 612
• Complete list of divisors:
  1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 61 63 64 72 84 96 112 122 126 128 144 168 183 192 224 244 252 256 288 336 366 384 427 448 488 504 512 549 576 672 732 733 768 854 896 976 1008 1024 1098 1152 1281 1344 1464 1466 1536 1708 1792 1952 2016 2048 2196 2199 2304 2562 2688 2928 2932 3072 3416 3584 3843 3904 4032 4096 4392 4398 4608 5124 5131 5376 5856 5864 6144 6597 6832 7168 7686 7808 8064 8192 8784 8796 9216 10248 10262 10752 11712 11728 12288 13194 13664 14336 15372 15393 15616 16128 16384 17568 17592 18432 20496 20524 21504 23424 23456 24576 26388 27328 28672 30744 30786 31232 32256 32768 35136 35184 36864 40992 41048 43008 44713 46179 46848 46912 49152 52776 54656 57344 61488 61572 62464 64512 65536 70272 70368 73728 81984 82096 86016 89426 92358 93696 93824 98304 105552 109312 114688 122976 123144 124928 129024 134139 140544 140736 147456 163968 164192 172032 178852 184716 187392 187648 196608 211104 218624 229376 245952 246288 249856 258048 268278 281088 281472 294912 312991 327936 328384 344064 357704 369432 374784 375296 402417 422208 437248 458752 491904 492576 499712 516096 536556 537289 562176 562944 589824 625982 655872 656768 688128 715408 738864 749568 750592 804834 844416 874496 938973 983808 985152 999424 1032192 1073112 1074578 1124352 1125888 1251964 1311744 1313536 1376256 1430816 1477728 1499136 1501184 1609668 1611867 1688832 1748992 1877946 1967616 1970304 1998848 2064384 2146224 2149156 2248704 2251776 2503928 2623488 2627072 2816919 2861632 2955456 2998272 3002368 3219336 3223734 3377664 3497984 3755892 3761023 3935232 3940608 3997696 4128768 4292448 4298312 4497408 4503552 4835601 5007856 5246976 5254144 5633838 5723264 5910912 5996544 6004736 6438672 6447468 6755328 6995968 7511784 7522046 7870464 7881216 8584896 8596624 8994816 9007104 9671202 10015712 10493952 10508288 11267676 11283069 11446528 11821824 11993088 12009472 12877344 12894936 13510656 13991936 15023568 15044092 15740928 15762432 17169792 17193248 17989632 18014208 19342404 20031424 20987904 21016576 22535352 22566138 22893056 23643648 24018944 25754688 25789872 27021312 27983872 30047136 30088184 31481856 31524864 32774629 33849207 34339584 34386496 35979264 36028416 38684808 40062848 41975808 42033152 45070704 45132276 45786112 47287296 48037888 51509376 51579744 54042624 60094272 60176368 62963712 63049728 65549258 67698414 68679168 68772992 72056832 77369616 80125696 83951616 84066304 90141408 90264552 91572224 94574592 98323887 103018752 103159488 108085248 120188544 120352736 125927424 126099456 131098516 135396828 137358336 137545984 144113664 154739232 160251392 168132608 180282816 180529104 183144448 189149184 196647774 206037504 206318976 216170496 229422403 240377088 240705472 251854848 252198912 262197032 270793656 274716672 275091968 294971661 309478464 320502784 336265216 360565632 361058208 366288896 378298368 393295548 412075008 412637952 432340992 458844806 480754176 481410944 504397824 524394064 541587312 549433344 550183936 589943322 618956928 641005568 688267209 721131264 722116416 732577792 756596736 786591096 824150016 825275904 917689612 961508352 962821888 1008795648 1048788128 1083174624 1098866688 1100367872 1179886644 1237913856 1282011136 1376534418 1442262528 1444232832 1465155584 1513193472 1573182192 1648300032 1650551808 1835379224 1923016704 1925643776 2064801627 2097576256 2166349248 2197733376 2200735744 2359773288 2475827712 2564022272 2753068836 2884525056 2888465664 2930311168 3026386944 3146364384 3296600064 3301103616 3670758448 3846033408 3851287552 4129603254 4195152512 4332698496 4395466752 4401471488 4719546576 4951655424 5128044544 5506137672 5769050112 5776931328 6292728768 6593200128 6602207232 7341516896 7692066816 7702575104 8259206508 8390305024 8665396992 8790933504 8802942976 9439093152 9903310848 10256089088 11012275344 11538100224 11553862656 12585457536 13186400256 13204414464 14683033792 15384133632 15405150208 16518413016 16780610048 17330793984 17605885952 18878186304 19806621696 20512178176 22024550688 23076200448 23107725312 25170915072 26372800512 26408828928 29366067584 30768267264 30810300416 33036826032 33561220096 34661587968 35211771904 37756372608 39613243392 44049101376 46152400896 46215450624 50341830144 52817657856 58732135168 61536534528 61620600832 66073652064 67122440192 69323175936 75512745216 79226486784 88098202752 92304801792 92430901248 100683660288 105635315712 117464270336 123241201664 132147304128 134244880384 138646351872 151025490432 158452973568 176196405504 184609603584 184861802496 201367320576 234928540672 246482403328 264294608256 268489760768 277292703744 302050980864 316905947136 352392811008 369723604992 402734641152 469857081344 528589216512 536979521536 554585407488 604101961728 704785622016 739447209984 805469282304 939714162688 1057178433024 1073959043072 1109170814976 1208203923456 1409571244032 1610938564608 1879428325376 2114356866048 2147918086144 2218341629952 2416407846912 2819142488064 3221877129216 3758856650752 4228713732096 4832815693824 5638284976128 6443754258432 7517713301504 8457427464192 9665631387648 11276569952256 15035426603008 16914854928384 19331262775296 22553139904512 33829709856768 45106279809024 67659419713536 135318839427072
• Sum of all divisors σ(n): 454707883057584
• Sum of proper divisors (its aliquot sum) s(n): 319389043630512
• 135318839427072 is an abundant number, because the sum of its proper divisors (319389043630512) is greater than itself. Its abundance is 184070204203440

Bases of 135318839427072

• Binary: 11110110001001001011111010110110000000000000000₂
• Hexadecimal: 0x7B125F5B0000
• Base-36: 1BYSM75Z40

Squares and roots of 135318839427072

• 135318839427072 squared (135318839427072²) is 18311188303889695601206493184
• 135318839427072 cubed (135318839427072³) is 2477848749812928604137449736718752833077248
• The square root of 135318839427072 is 11632662.6112456299
• The cube root of 135318839427072 is 51339.6324072903

Scales and comparisons

• 135,318,839,427,072 seconds is equal to 4,302,720 years, 27 weeks, 2 days, 3 hours, 31 minutes, 12 seconds.
• To count from 1 to 135,318,839,427,072 would take you about ten million, seven hundred fifty-six thousand, eight hundred one 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 135318839427072 cubic inches would be around 4278.3 feet tall.

Recreational maths with 135318839427072

• 135318839427072 backwards is 270724938813531
• 135318839427072 is a Harshad number.
• The number of decimal digits it has is: 15
• The sum of 135318839427072's digits is 63
• More coming soon!