34145020800

Names of 34145020800

• Cardinal: 34145020800 can be written as Thirty-four billion, one hundred forty-five million, twenty thousand, eight hundred.

Scientific notation

• Scientific notation: 3.41450208 × 10¹⁰

Factors of 34145020800

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 15
• Sum of prime factors: 1029

Divisors of 34145020800

• Number of divisors d(n): 768
• Complete list of divisors:
  1 2 3 4 5 6 8 9 10 11 12 15 16 18 20 22 24 25 27 30 32 33 36 37 40 44 45 48 50 54 55 60 64 66 72 74 75 80 88 90 96 99 100 108 110 111 120 128 132 135 144 148 150 160 165 176 180 185 192 198 200 216 220 222 225 240 264 270 275 288 296 297 300 320 330 333 352 360 370 384 396 400 407 432 440 444 450 480 495 528 540 550 555 576 592 594 600 640 660 666 675 704 720 740 792 800 814 825 864 880 888 900 925 960 971 990 999 1056 1080 1100 1110 1152 1184 1188 1200 1221 1320 1332 1350 1408 1440 1480 1485 1584 1600 1628 1650 1665 1728 1760 1776 1800 1850 1920 1942 1980 1998 2035 2112 2160 2200 2220 2368 2376 2400 2442 2475 2640 2664 2700 2775 2880 2913 2960 2970 3168 3200 3256 3300 3330 3456 3520 3552 3600 3663 3700 3884 3960 3996 4070 4224 4320 4400 4440 4736 4752 4800 4855 4884 4950 4995 5280 5328 5400 5550 5760 5826 5920 5940 6105 6336 6512 6600 6660 7040 7104 7200 7326 7400 7425 7768 7920 7992 8140 8325 8640 8739 8800 8880 9504 9600 9710 9768 9900 9990 10175 10560 10656 10681 10800 10989 11100 11652 11840 11880 12210 12672 13024 13200 13320 14208 14400 14565 14652 14800 14850 15536 15840 15984 16280 16650 17280 17478 17600 17760 18315 19008 19420 19536 19800 19980 20350 21120 21312 21362 21600 21978 22200 23304 23680 23760 24275 24420 24975 26048 26217 26400 26640 28800 29130 29304 29600 29700 30525 31072 31680 31968 32043 32560 33300 34956 35200 35520 35927 36630 38016 38840 39072 39600 39960 40700 42624 42724 43200 43695 43956 44400 46608 47520 48550 48840 49950 52096 52434 52800 53280 53405 54945 58260 58608 59200 59400 61050 62144 63360 63936 64086 65120 66600 69912 71040 71854 72825 73260 77680 78144 79200 79920 81400 85448 86400 87390 87912 88800 91575 93216 95040 96129 97100 97680 99900 104868 105600 106560 106810 107781 109890 116520 117216 118400 118800 122100 124288 127872 128172 130240 131085 133200 139824 143708 145650 146520 155360 156288 158400 159840 160215 162800 170896 174780 175824 177600 179635 183150 186432 190080 192258 194200 195360 199800 209736 213120 213620 215562 218475 219780 233040 234432 237600 244200 256344 260480 262170 266400 267025 274725 279648 287416 288387 291300 293040 310720 316800 319680 320430 323343 325600 341792 349560 351648 355200 359270 366300 372864 384516 388400 390720 395197 399600 419472 427240 431124 436950 439560 466080 468864 475200 480645 488400 512688 524340 532800 534050 538905 549450 559296 574832 576774 582600 586080 621440 639360 640860 646686 651200 655425 683584 699120 703296 718540 732600 769032 776800 781440 790394 799200 801075 838944 854480 862248 873900 879120 898175 932160 950400 961290 970029 976800 1025376 1048680 1065600 1068100 1077810 1098900 1118592 1149664 1153548 1165200 1172160 1185591 1281720 1293372 1302400 1310850 1367168 1398240 1406592 1437080 1441935 1465200 1538064 1553600 1580788 1598400 1602150 1616715 1677888 1708960 1724496 1747800 1758240 1796350 1864320 1922580 1940058 1953600 1975985 2050752 2097360 2136200 2155620 2197800 2299328 2307096 2330400 2344320 2371182 2403225 2563440 2586744 2621700 2694525 2796480 2874160 2883870 2930400 3076128 3107200 3161576 3196800 3204300 3233430 3355776 3417920 3448992 3495600 3516480 3556773 3592700 3845160 3880116 3907200 3951970 4101504 4194720 4272400 4311240 4395600 4598656 4614192 4660800 4742364 4806450 4850145 5126880 5173488 5243400 5389050 5592960 5748320 5767740 5860800 5927955 6152256 6323152 6408600 6466860 6835840 6897984 6991200 7032960 7113546 7185400 7209675 7690320 7760232 7903940 8083575 8389440 8544800 8622480 8791200 9228384 9321600 9484728 9612900 9700290 9879925 10253760 10346976 10486800 10670319 10778100 11496640 11535480 11721600 11855910 12304512 12646304 12817200 12933720 13795968 13982400 14227092 14370800 14419350 15380640 15520464 15807880 16167150 16778880 17089600 17244960 17582400 17783865 18456768 18969456 19225800 19400580 19759850 20507520 20693952 20973600 21340638 21556200 22993280 23070960 23711820 24250725 25292608 25634400 25867440 27964800 28454184 28741600 28838700 29639775 30761280 31040928 31615760 32334300 34179200 34489920 35164800 35567730 36913536 37938912 38451600 38801160 39519700 41387904 41947200 42681276 43112400 46141920 47423640 48501450 50585216 51268800 51734880 53351595 56908368 57483200 57677400 59279550 61522560 62081856 63231520 64668600 68979840 71135460 75877824 76903200 77602320 79039400 83894400 85362552 86224800 88919325 92283840 94847280 97002900 102537600 103469760 106703190 113816736 114966400 115354800 118559100 124163712 126463040 129337200 142270920 151755648 153806400 155204640 158078800 170725104 172449600 177838650 184567680 189694560 194005800 206939520 213406380 227633472 230709600 237118200 252926080 258674400 266757975 284541840 307612800 310409280 316157600 341450208 344899200 355677300 379389120 388011600 426812760 455266944 461419200 474236400 517348800 533515950 569083680 620818560 632315200 682900416 711354600 758778240 776023200 853625520 922838400 948472800 1034697600 1067031900 1138167360 1264630400 1365800832 1422709200 1552046400 1707251040 1896945600 2134063800 2276334720 2845418400 3104092800 3414502080 3793891200 4268127600 5690836800 6829004160 8536255200 11381673600 17072510400 34145020800
• Sum of all divisors σ(n): 140149958400
• Sum of proper divisors (its aliquot sum) s(n): 106004937600
• 34145020800 is an abundant number, because the sum of its proper divisors (106004937600) is greater than itself. Its abundance is 71859916800

Bases of 34145020800

• Binary: 11111110011001100111010101110000000₂
• Hexadecimal: 0x7F333AB80
• Base-36: FOP2AO0

Squares and roots of 34145020800

• 34145020800 squared (34145020800²) is 1165882445432432640000
• 34145020800 cubed (34145020800³) is 39809080349645277487398912000000
• The square root of 34145020800 is 184783.7135680525
• The cube root of 34145020800 is 3244.2112592081

Scales and comparisons

• 34,145,020,800 seconds is equal to 1,085 years, 36 weeks, 5 days.
• To count from 1 to 34,145,020,800 would take you about two thousand, one hundred seventy-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 34145020800 cubic inches would be around 270.4 feet tall.

Recreational maths with 34145020800

• 34145020800 backwards is 00802054143
• 34145020800 is a Harshad number.
• The number of decimal digits it has is: 11
• The sum of 34145020800's digits is 27
• More coming soon!