135504008640

Names of 135504008640

• Cardinal: 135504008640 can be written as One hundred thirty-five billion, five hundred four million, eight thousand, six hundred forty.

Scientific notation

• Scientific notation: 1.3550400864 × 10¹¹

Factors of 135504008640

• Number of distinct prime factors ω(n): 7
• Total number of prime factors Ω(n): 14
• Sum of prime factors: 4314

Divisors of 135504008640

• Number of divisors d(n): 1008
• Complete list of divisors:
  1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 18 20 21 22 24 26 28 30 32 33 35 36 39 40 42 44 45 48 52 55 56 60 63 64 65 66 70 72 77 78 80 84 88 90 91 96 99 104 105 110 112 117 120 121 126 130 132 140 143 144 154 156 160 165 168 176 180 182 192 195 198 208 210 220 224 231 234 240 242 252 260 264 273 280 286 288 308 312 315 320 330 336 352 360 363 364 385 390 396 416 420 429 440 448 455 462 468 480 484 495 504 520 528 546 560 572 576 585 605 616 624 630 660 672 693 704 715 720 726 728 770 780 792 819 832 840 847 858 880 910 924 936 960 968 990 1001 1008 1040 1056 1089 1092 1120 1144 1155 1170 1210 1232 1248 1260 1287 1320 1344 1365 1386 1430 1440 1452 1456 1540 1560 1573 1584 1638 1680 1694 1716 1760 1815 1820 1848 1872 1936 1980 2002 2016 2080 2112 2145 2178 2184 2240 2288 2310 2340 2420 2464 2496 2520 2541 2574 2640 2730 2772 2860 2880 2904 2912 3003 3080 3120 3146 3168 3276 3360 3388 3432 3465 3520 3630 3640 3696 3744 3872 3960 4004 4032 4095 4160 4235 4273 4290 4356 4368 4576 4620 4680 4719 4840 4928 5005 5040 5082 5148 5280 5445 5460 5544 5720 5808 5824 6006 6160 6240 6292 6336 6435 6552 6720 6776 6864 6930 7260 7280 7392 7488 7623 7744 7865 7920 8008 8190 8470 8546 8580 8712 8736 9009 9152 9240 9360 9438 9680 10010 10080 10164 10296 10560 10890 10920 11011 11088 11440 11616 12012 12320 12480 12584 12705 12819 12870 13104 13552 13728 13860 14157 14520 14560 14784 15015 15246 15730 15840 16016 16380 16940 17092 17160 17424 17472 18018 18480 18720 18876 19360 20020 20160 20328 20592 21365 21780 21840 22022 22176 22880 23232 23595 24024 24640 25168 25410 25638 25740 26208 27104 27456 27720 28314 29040 29120 29911 30030 30492 31460 31680 32032 32760 33033 33880 34184 34320 34848 36036 36960 37440 37752 38115 38457 38720 40040 40656 41184 42730 43560 43680 44044 44352 45045 45760 47003 47190 48048 50336 50820 51276 51480 52416 54208 55055 55440 55549 56628 58080 59822 60060 60984 62920 64064 64095 65520 66066 67760 68368 68640 69696 70785 72072 73920 75504 76230 76914 80080 81312 82368 85460 87120 87360 88088 89733 90090 94006 94380 96096 99099 100672 101640 102552 102960 110110 110880 111098 113256 116160 119644 120120 121968 125840 128190 131040 132132 135520 136736 137280 141009 141570 144144 149555 151008 152460 153828 160160 162624 165165 166647 170920 174240 176176 179466 180180 188012 188760 192192 192285 198198 203280 205104 205920 220220 221760 222196 226512 235015 239288 240240 243936 251680 256380 262080 264264 269199 271040 273472 277745 282018 283140 288288 299110 302016 304920 307656 320320 329021 330330 333294 341840 348480 352352 358932 360360 376024 377520 384570 388843 396396 406560 410208 411840 423027 440440 444392 448665 453024 470030 478576 480480 487872 495495 499941 503360 512760 517033 528528 538398 555490 564036 566280 576576 598220 609840 611039 615312 658042 660660 666588 683680 704704 705045 717864 720720 752048 755040 769140 777686 792792 813120 820416 833235 846054 880880 888784 897330 906048 940060 957152 960960 987063 990990 999882 1025520 1034066 1057056 1076796 1110980 1128072 1132560 1166529 1196440 1219680 1222078 1230624 1316084 1321320 1333176 1345995 1367360 1410090 1435728 1441440 1504096 1510080 1538280 1551099 1555372 1585584 1645105 1666470 1692108 1761760 1777568 1794660 1833117 1880120 1914304 1944215 1974126 1981980 1999764 2051040 2068132 2114112 2115135 2153592 2221960 2256144 2265120 2333058 2392880 2439360 2444156 2461248 2499705 2585165 2632168 2642640 2666352 2691990 2820180 2871456 2882880 2961189 3008192 3055195 3076560 3102198 3110744 3171168 3290210 3332940 3384216 3499587 3523520 3555136 3589320 3619231 3666234 3760240 3888430 3948252 3963960 3999528 4102080 4136264 4230270 4277273 4307184 4443920 4512288 4530240 4653297 4666116 4785760 4888312 4935315 4999410 5170330 5264336 5285280 5332704 5383980 5499351 5640360 5742912 5832645 5922378 6110390 6153120 6204396 6221488 6342336 6580420 6665880 6721429 6768432 6999174 7178640 7238462 7332468 7520480 7755495 7776860 7896504 7927920 7999056 8272528 8460540 8554546 8614368 8887840 9024576 9165585 9306594 9332232 9571520 9776624 9870630 9998820 10340660 10528672 10570560 10665408 10767960 10857693 10998702 11280720 11665290 11844756 12220780 12306240 12408792 12442976 12831819 13160840 13331760 13442858 13536864 13998348 14357280 14476924 14664936 14805945 15040960 15510990 15553720 15793008 15855840 15998112 16545056 16921080 17109092 17228736 17497935 17775680 18096155 18331170 18613188 18664464 19553248 19741260 19997640 20164287 20681320 21057344 21386365 21535920 21715386 21997404 22561440 23266485 23330580 23689512 24441560 24817584 24885952 25663638 26321680 26663520 26885716 27073728 27496755 27996696 28714560 28953848 29329872 29611890 31021980 31107440 31586016 31711680 31996224 32573079 33090112 33607145 33842160 34218184 34995870 36192310 36662340 37226376 37328928 38495457 39106496 39482520 39995280 40328574 41362640 42772730 43071840 43430772 43994808 45122880 46532970 46661160 47050003 47379024 48883120 49635168 51327276 52643360 53327040 53771432 54288465 54993510 55993392 57907696 58659744 59223780 60492861 62043960 62214880 63172032 64159095 65146158 67214290 67684320 68436368 69991740 72384620 73324680 74452752 74657856 76990914 78965040 79990560 80657148 82725280 85545460 86143680 86861544 87989616 93065940 93322320 94100006 94758048 97766240 99270336 100821435 102654552 105286720 107542864 108576930 109987020 111986784 115815392 117319488 118447560 120985722 124087920 124429760 128318190 130292316 134428580 135368640 136872736 139983480 141150009 144769240 146649360 148905504 153981828 157930080 159981120 161314296 162865395 165450560 171090920 173723088 175979232 186131880 186644640 188200012 189516096 192477285 195532480 201642870 205309104 215085728 217153860 219974040 223973568 231630784 235250015 236895120 241971444 248175840 256636380 260584632 268857160 273745472 279966960 282300018 289538480 293298720 297811008 302464305 307963656 315860160 322628592 325730790 342181840 347446176 351958464 372263760 373289280 376400024 384954570 403285740 410618208 423450027 430171456 434307720 439948080 470500030 473790240 483942888 496351680 513272760 521169264 537714320 559933920 564600036 579076960 586597440 604928610 615927312 645257184 651461580 684363680 694892352 705750045 744527520 752800048 769909140 806571480 821236416 846900054 868615440 879896160 941000060 947580480 967885776 1026545520 1042338528 1075428640 1119867840 1129200072 1158153920 1209857220 1231854624 1290514368 1302923160 1368727360 1411500090 1489055040 1505600096 1539818280 1613142960 1693800108 1737230880 1759792320 1882000120 1935771552 2053091040 2084677056 2117250135 2150857280 2258400144 2419714440 2463709248 2605846320 2823000180 3011200192 3079636560 3226285920 3387600216 3474461760 3764000240 3871543104 4106182080 4234500270 4516800288 4839428880 5211692640 5646000360 6159273120 6452571840 6775200432 7528000480 8469000540 9033600576 9678857760 10423385280 11292000720 12318546240 13550400864 15056000960 16938001080 19357715520 22584001440 27100801728 33876002160 45168002880 67752004320 135504008640
• Sum of all divisors σ(n): 630670482624
• Sum of proper divisors (its aliquot sum) s(n): 495166473984
• 135504008640 is an abundant number, because the sum of its proper divisors (495166473984) is greater than itself. Its abundance is 359662465344

Bases of 135504008640

• Binary: 1111110001100101010110001010111000000₂
• Hexadecimal: 0x1F8CAB15C0
• Base-36: 1Q8ZL680

Squares and roots of 135504008640

• 135504008640 squared (135504008640²) is 18361336357509194649600
• 135504008640 cubed (135504008640³) is 2488034680429872040678840172544000
• The square root of 135504008640 is 368108.6913399355
• The cube root of 135504008640 is 5136.3039314127

Scales and comparisons

• 135,504,008,640 seconds is equal to 4,308 years, 31 weeks, 4 days, 10 hours, 24 minutes.
• To count from 1 to 135,504,008,640 would take you about eight thousand, six hundred seventeen 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 135504008640 cubic inches would be around 428 feet tall.

Recreational maths with 135504008640

• 135504008640 backwards is 046800405531
• 135504008640 is a Harshad number.
• The number of decimal digits it has is: 12
• The sum of 135504008640's digits is 36
• More coming soon!