135728041381632

Names of 135728041381632

• Cardinal: 135728041381632 can be written as One hundred thirty-five trillion, seven hundred twenty-eight billion, forty-one million, three hundred eighty-one thousand, six hundred thirty-two.

Scientific notation

• Scientific notation: 1.35728041381632 × 10¹⁴

Factors of 135728041381632

• Number of distinct prime factors ω(n): 4
• Total number of prime factors Ω(n): 17
• Sum of prime factors: 10205

Divisors of 135728041381632

• Number of divisors d(n): 378
• Complete list of divisors:
  1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 54 56 63 64 72 81 84 96 108 112 126 128 144 162 168 189 192 216 224 243 252 256 288 324 336 378 384 432 448 486 504 567 576 648 672 729 756 768 864 896 972 1008 1134 1152 1296 1344 1458 1512 1701 1728 1792 1944 2016 2268 2304 2592 2688 2916 3024 3402 3456 3888 4032 4536 5103 5184 5376 5832 6048 6804 6912 7776 8064 9072 10193 10206 10368 11664 12096 13608 15552 16128 18144 20386 20412 20736 23328 24192 27216 30579 31104 36288 40772 40824 46656 48384 54432 61158 62208 71351 72576 81544 81648 91737 93312 108864 122316 142702 145152 163088 163296 183474 186624 214053 217728 244632 275211 285404 326176 326592 366948 428106 435456 489264 550422 570808 642159 652352 653184 733896 825633 856212 978528 1100844 1141616 1284318 1304704 1306368 1467792 1651266 1712424 1926477 1957056 2201688 2283232 2476899 2568636 2609408 2935584 3302532 3424848 3852954 3914112 4403376 4566464 4953798 5137272 5779431 5871168 6605064 6849696 7430697 7705908 7828224 8806752 9132928 9907596 10274544 11558862 11742336 13210128 13699392 14861394 15411816 17338293 17613504 18265856 19815192 20549088 23117724 23484672 26420256 27398784 29722788 30823632 34676586 35227008 39630384 41098176 46235448 52014879 52840512 54797568 59445576 61647264 69353172 70454016 79260768 82196352 92470896 103897249 104029758 105681024 118891152 123294528 138706344 158521536 164392704 184941792 207794498 208059516 211362048 237782304 246589056 277412688 311691747 317043072 369883584 415588996 416119032 475564608 493178112 554825376 623383494 634086144 727280743 739767168 831177992 832238064 935075241 951129216 1109650752 1246766988 1454561486 1479534336 1662355984 1664476128 1870150482 1902258432 2181842229 2219301504 2493533976 2805225723 2909122972 3324711968 3328952256 3740300964 4363684458 4438603008 4987067952 5610451446 5818245944 6545526687 6649423936 6657904512 7480601928 8415677169 8727368916 9974135904 11220902892 11636491888 13091053374 13298847872 13315809024 14961203856 16831354338 17454737832 19636580061 19948271808 22441805784 23272983776 25247031507 26182106748 26597695744 29922407712 33662708676 34909475664 39273160122 39896543616 44883611568 46545967552 50494063014 52364213496 58909740183 59844815424 67325417352 69818951328 75741094521 78546320244 79793087232 89767223136 93091935104 100988126028 104728426992 117819480366 119689630848 134650834704 139637902656 151482189042 157092640488 176729220549 179534446272 186183870208 201976252056 209456853984 235638960732 239379261696 269301669408 279275805312 302964378084 314185280976 353458441098 359068892544 403952504112 418913707968 471277921464 530187661647 538603338816 558551610624 605928756168 628370561952 706916882196 718137785088 807905008224 837827415936 942555842928 1060375323294 1077206677632 1211857512336 1256741123904 1413833764392 1615810016448 1675654831872 1885111685856 2120750646588 2154413355264 2423715024672 2513482247808 2827667528784 3231620032896 3770223371712 4241501293176 4847430049344 5026964495616 5655335057568 6463240065792 7540446743424 8483002586352 9694860098688 11310670115136 15080893486848 16966005172704 19389720197376 22621340230272 33932010345408 45242680460544 67864020690816 135728041381632
• Sum of all divisors σ(n): 464277574293512
• Sum of proper divisors (its aliquot sum) s(n): 328549532911880
• 135728041381632 is an abundant number, because the sum of its proper divisors (328549532911880) is greater than itself. Its abundance is 192821491530248

Bases of 135728041381632

• Binary: 11110110111000110100101101100010100111100000000₂
• Hexadecimal: 0x7B71A5B14F00
• Base-36: 1C40LNG000

Squares and roots of 135728041381632

• 135728041381632 squared (135728041381632²) is 18422101217294008631466983424
• 135728041381632 cubed (135728041381632³) is 2500395716357494444344451718363000202067968
• The square root of 135728041381632 is 11650237.8251103527
• The cube root of 135728041381632 is 51391.3304001965

Scales and comparisons

• 135,728,041,381,632 seconds is equal to 4,315,731 years, 45 weeks, 5 days, 21 hours, 7 minutes, 12 seconds.
• To count from 1 to 135,728,041,381,632 would take you about ten million, seven hundred eighty-nine thousand, three hundred twenty-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 135728041381632 cubic inches would be around 4282.6 feet tall.

Recreational maths with 135728041381632

• 135728041381632 backwards is 236183140827531
• 135728041381632 is a Harshad number.
• The number of decimal digits it has is: 15
• The sum of 135728041381632's digits is 54
• More coming soon!