135537585671040

Names of 135537585671040

• Cardinal: 135537585671040 can be written as One hundred thirty-five trillion, five hundred thirty-seven billion, five hundred eighty-five million, six hundred seventy-one thousand and forty.

Scientific notation

• Scientific notation: 1.3553758567104 × 10¹⁴

Factors of 135537585671040

• Number of distinct prime factors ω(n): 7
• Total number of prime factors Ω(n): 14
• Sum of prime factors: 19304

Divisors of 135537585671040

• Number of divisors d(n): 768
• Complete list of divisors:
  1 2 3 4 5 6 7 8 10 12 14 15 16 17 20 21 24 28 30 32 34 35 40 42 48 49 51 56 60 64 68 70 80 84 85 96 98 102 105 112 119 120 128 136 140 147 160 168 170 192 196 204 210 224 238 240 245 255 272 280 294 320 336 340 357 384 392 408 420 448 476 480 490 510 544 560 588 595 640 672 680 714 735 784 816 833 840 896 952 960 980 1020 1088 1120 1176 1190 1344 1360 1428 1470 1568 1632 1666 1680 1785 1904 1920 1960 2040 2176 2240 2352 2380 2499 2688 2720 2856 2940 3136 3264 3332 3360 3570 3808 3920 4080 4165 4480 4704 4760 4998 5440 5712 5880 6272 6528 6664 6720 6791 7140 7616 7840 8160 8330 9408 9520 9996 10880 11424 11760 12479 12495 13328 13440 13582 14280 15232 15680 16320 16660 18816 19040 19992 20373 22848 23520 24958 24990 26656 27164 28560 31360 32640 33320 33955 37437 38080 39984 40746 45696 47040 47537 49916 49980 53312 54328 57120 62395 66640 67910 74874 76160 79968 81492 87353 94080 95074 99832 99960 101865 106624 108656 114240 115447 124790 133280 135820 142611 149748 159936 162984 174706 187185 190148 199664 199920 203730 212143 217312 228480 230894 237685 249580 262059 266560 271640 285222 299496 319872 325968 332759 346341 349412 374370 380296 399328 399840 407460 424286 434624 436765 461788 475370 499160 524118 533120 543280 570444 577235 598992 611471 636429 651936 665518 692682 698824 713055 748740 760592 798656 799680 808129 814920 848572 869248 873530 923576 950740 998277 998320 1048236 1060715 1086560 1140888 1154470 1197984 1222942 1272858 1303872 1310295 1331036 1385364 1397648 1426110 1485001 1497480 1521184 1597312 1599360 1616258 1629840 1663795 1697144 1731705 1747060 1834413 1847152 1901480 1996554 1996640 2096472 2121430 2173120 2281776 2308940 2395968 2424387 2445884 2545716 2607744 2620590 2662072 2770728 2795296 2852220 2970002 2994960 3042368 3057355 3182145 3232516 3259680 3327590 3394288 3463410 3494120 3668826 3694304 3802960 3993108 3993280 4040645 4192944 4242860 4346240 4455003 4563552 4617880 4791936 4848774 4891768 4991385 5091432 5241180 5324144 5541456 5590592 5656903 5704440 5940004 5989920 6084736 6114710 6364290 6465032 6519360 6655180 6788576 6926820 6988240 7337652 7388608 7425005 7605920 7986216 7986560 8081290 8385888 8485720 8910006 9127104 9172065 9235760 9697548 9783536 9982770 10182864 10395007 10482360 10648288 11082912 11181184 11313806 11408880 11880008 11979840 12121935 12229420 12728580 12930064 13038720 13310360 13577152 13853640 13976480 14675304 14777216 14850010 15211840 15972432 16162580 16771776 16970709 16971440 17820012 18254208 18344130 18471520 19395096 19567072 19965540 20365728 20790014 20964720 21296576 22165824 22275015 22627612 22817760 23760016 23959680 24243870 24458840 25457160 25860128 26620720 27154304 27707280 27952960 28284515 29350608 29700020 30423680 31185021 31944864 32325160 33543552 33941418 33942880 35640024 36688260 36943040 38790192 39134144 39931080 40731456 41580028 41929440 42593152 44331648 44550030 45255224 45635520 47520032 48487740 48917680 50914320 51720256 51975035 53241440 55414560 55905920 56569030 58701216 59400040 62370042 63889728 64650320 67882836 67885760 71280048 73376520 73886080 77580384 78268288 79862160 81462912 83160056 83858880 84744889 84853545 89100060 90510448 91271040 95040064 96975480 97835360 101828640 103440512 103950070 106482880 110829120 113138060 117402432 118800080 124740084 127779456 129300640 135765672 135771520 142560096 146753040 155160768 155925105 159724320 166320112 167717760 169489778 169707090 178200120 181020896 190080128 193950960 195670720 203657280 207900140 212965760 221658240 226276120 234804864 237600160 249480168 254234667 258601280 271531344 285120192 293506080 310321536 311850210 319448640 332640224 338979556 339414180 356400240 362041792 387901920 391341440 407314560 415800280 423724445 452552240 475200320 498960336 508469334 517202560 543062688 570240384 587012160 593214223 623700420 638897280 665280448 677959112 678828360 712800480 724083584 775803840 831600560 847448890 905104480 950400640 997920672 1016938668 1086125376 1174024320 1186428446 1247400840 1271173335 1330560896 1355918224 1357656720 1425600960 1440663113 1551607680 1663201120 1694897780 1779642669 1810208960 1995841344 2033877336 2172250752 2372856892 2494801680 2542346670 2711836448 2715313440 2851201920 2881326226 2966071115 3326402240 3389795560 3559285338 3620417920 3991682688 4067754672 4152499561 4321989339 4745713784 4989603360 5084693340 5423672896 5430626880 5762652452 5932142230 6652804480 6779591120 7118570676 7203315565 8135509344 8304999122 8643978678 8898213345 9491427568 9979206720 10084641791 10169386680 10847345792 10861253760 11525304904 11864284460 12457498683 13559182240 14237141352 14406631130 16271018688 16609998244 17287957356 17796426690 18982855136 19958413440 20169283582 20338773360 20762497805 21609946695 23050609808 23728568920 24914997366 27118364480 28474282704 28813262260 30253925373 32542037376 33219996488 34575914712 35592853380 37965710272 40338567164 40677546720 41524995610 43219893390 46101219616 47457137840 49829994732 50423208955 54236728960 56948565408 57626524520 60507850746 62287493415 66439992976 69151829424 70592492537 71185706760 75931420544 80677134328 81355093440 83049991220 86439786780 92202439232 94914275680 99659989464 100846417910 113897130816 115253049040 121015701492 124574986830 132879985952 138303658848 141184985074 142371413520 151269626865 161354268656 162710186880 166099982440 172879573560 184404878464 189828551360 199319978928 201692835820 211777477611 227794261632 230506098080 242031402984 249149973660 265759971904 276607317696 282369970148 284742827040 302539253730 322708537312 332199964880 345759147120 352962462685 379657102720 398639957856 403385671640 423554955222 461012196160 484062805968 498299947320 531519943808 553214635392 564739940296 569485654080 605078507460 645417074624 664399929760 691518294240 705924925370 797279915712 806771343280 847109910444 922024392320 968125611936 996599894640 1058887388055 1129479880592 1138971308160 1210157014920 1290834149248 1328799859520 1383036588480 1411849850740 1594559831424 1613542686560 1694219820888 1936251223872 1993199789280 2117774776110 2258959761184 2420314029840 2657599719040 2766073176960 2823699701480 3227085373120 3388439641776 3872502447744 3986399578560 4235549552220 4517919522368 4840628059680 5647399402960 6454170746240 6776879283552 7972799157120 8471099104440 9035839044736 9681256119360 11294798805920 13553758567104 16942198208880 19362512238720 22589597611840 27107517134208 33884396417760 45179195223680 67768792835520 135537585671040
• Sum of all divisors σ(n): 532244332339200
• Sum of proper divisors (its aliquot sum) s(n): 396706746668160
• 135537585671040 is an abundant number, because the sum of its proper divisors (396706746668160) is greater than itself. Its abundance is 261169160997120

Bases of 135537585671040

• Binary: 11110110100010101001101101001011100101110000000₂
• Hexadecimal: 0x7B454DA5CB80
• Base-36: 1C1L3V156O

Squares and roots of 135537585671040

• 135537585671040 squared (135537585671040²) is 18370437129534507527094681600
• 135537585671040 cubed (135537585671040³) is 2489884696258737455789571141389551140864000
• The square root of 135537585671040 is 11642061.0576924909
• The cube root of 135537585671040 is 51367.2814418515

Scales and comparisons

• 135,537,585,671,040 seconds is equal to 4,309,675 years, 50 weeks, 6 days, 9 hours, 4 minutes.
• To count from 1 to 135,537,585,671,040 would take you about ten million, seven hundred seventy-four thousand, one hundred eighty-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 135537585671040 cubic inches would be around 4280.6 feet tall.

Recreational maths with 135537585671040

• 135537585671040 backwards is 040176585735531
• 135537585671040 is a Harshad number.
• The number of decimal digits it has is: 15
• The sum of 135537585671040's digits is 60
• More coming soon!