34064981196800

Names of 34064981196800

• Cardinal: 34064981196800 can be written as Thirty-four trillion, sixty-four billion, nine hundred eighty-one million, one hundred ninety-six thousand, eight hundred.

Scientific notation

• Scientific notation: 3.40649811968 × 10¹³

Factors of 34064981196800

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 21
• Sum of prime factors: 1060

Divisors of 34064981196800

• Number of divisors d(n): 576
• Complete list of divisors:
  1 2 4 5 8 10 16 19 20 25 32 38 40 50 64 76 80 95 100 127 128 152 160 190 200 254 256 304 320 361 380 400 475 508 512 608 635 640 722 760 800 907 950 1016 1024 1216 1270 1280 1444 1520 1600 1805 1814 1900 2032 2048 2413 2432 2540 2560 2888 3040 3175 3200 3610 3628 3800 4064 4096 4535 4826 4864 5080 5120 5776 6080 6350 6400 7220 7256 7600 8128 8192 9025 9070 9652 9728 10160 10240 11552 12065 12160 12700 12800 14440 14512 15200 16256 16384 17233 18050 18140 19304 19456 20320 20480 22675 23104 24130 24320 25400 25600 28880 29024 30400 32512 32768 34466 36100 36280 38608 38912 40640 40960 45350 45847 46208 48260 48640 50800 51200 57760 58048 60325 60800 65024 68932 72200 72560 77216 77824 81280 81920 86165 90700 91694 92416 96520 97280 101600 102400 115189 115520 116096 120650 121600 130048 137864 144400 145120 154432 155648 162560 163840 172330 181400 183388 184832 193040 194560 203200 204800 229235 230378 231040 232192 241300 243200 260096 275728 288800 290240 308864 311296 325120 327427 344660 362800 366776 369664 386080 389120 406400 409600 430825 458470 460756 462080 464384 482600 486400 520192 551456 575945 577600 580480 617728 622592 650240 654854 689320 725600 733552 739328 772160 778240 812800 819200 861650 916940 921512 924160 928768 965200 972800 1040384 1102912 1146175 1151890 1155200 1160960 1235456 1300480 1309708 1378640 1451200 1467104 1478656 1544320 1556480 1625600 1637135 1723300 1833880 1843024 1848320 1857536 1930400 1945600 2080768 2188591 2205824 2292350 2303780 2310400 2321920 2470912 2600960 2619416 2757280 2879725 2902400 2934208 2957312 3088640 3112960 3251200 3274270 3446600 3667760 3686048 3696640 3715072 3860800 3891200 4161536 4377182 4411648 4584700 4607560 4620800 4643840 4941824 5201920 5238832 5514560 5759450 5804800 5868416 5914624 6177280 6502400 6548540 6893200 7335520 7372096 7393280 7430144 7721600 7782400 8185675 8754364 8823296 9169400 9215120 9241600 9287680 9883648 10403840 10477664 10942955 11029120 11518900 11609600 11736832 11829248 12354560 13004800 13097080 13786400 14671040 14744192 14786560 14860288 15443200 15564800 16371350 17508728 17646592 18338800 18430240 18483200 18575360 19767296 20807680 20955328 21885910 22058240 23037800 23219200 23473664 24709120 26009600 26194160 27572800 29342080 29488384 29573120 29720576 30886400 32742700 35017456 35293184 36677600 36860480 36966400 37150720 39534592 41583229 41910656 43771820 44116480 46075600 46438400 46947328 49418240 52019200 52388320 54714775 55145600 58684160 58976768 59146240 61772800 65485400 70034912 70586368 73355200 73720960 73932800 74301440 79069184 83166458 83821312 87543640 88232960 92151200 92876800 93894656 98836480 104038400 104776640 109429550 110291200 117368320 117953536 123545600 130970800 140069824 141172736 146710400 147441920 147865600 148602880 166332916 167642624 175087280 176465920 184302400 185753600 187789312 197672960 207916145 209553280 218859100 220582400 234736640 235907072 247091200 261941600 280139648 282345472 293420800 294883840 295731200 332665832 335285248 350174560 352931840 368604800 371507200 375578624 395345920 415832290 419106560 437718200 441164800 469473280 471814144 494182400 523883200 560279296 564690944 586841600 589767680 665331664 670570496 700349120 705863680 737209600 743014400 751157248 831664580 838213120 875436400 882329600 938946560 943628288 988364800 1039580725 1047766400 1120558592 1173683200 1179535360 1330663328 1341140992 1400698240 1411727360 1474419200 1502314496 1663329160 1676426240 1750872800 1764659200 1877893120 1887256576 1976729600 2079161450 2095532800 2241117184 2347366400 2359070720 2661326656 2682281984 2801396480 2823454720 2948838400 3326658320 3352852480 3501745600 3529318400 3755786240 3774513152 4158322900 4191065600 4482234368 4694732800 4718141440 5322653312 5364563968 5602792960 5897676800 6653316640 6705704960 7003491200 7058636800 7511572480 8316645800 8382131200 8964468736 9389465600 9436282880 10645306624 10729127936 11205585920 11795353600 13306633280 13411409920 14006982400 14117273600 16633291600 16764262400 17928937472 18778931200 18872565760 21290613248 22411171840 23590707200 26613266560 26822819840 28013964800 33266583200 33528524800 35857874944 37557862400 42581226496 44822343680 47181414400 53226533120 53645639680 56027929600 66533166400 67057049600 71715749888 85162452992 89644687360 94362828800 106453066240 112055859200 133066332800 134114099200 170324905984 179289374720 212906132480 224111718400 266132665600 268228198400 340649811968 358578749440 425812264960 448223436800 532265331200 681299623936 851624529920 896446873600 1064530662400 1362599247872 1703249059840 1792893747200 2129061324800 3406498119680 4258122649600 6812996239360 8516245299200 17032490598400 34064981196800
• Sum of all divisors σ(n): 89961314250240
• Sum of proper divisors (its aliquot sum) s(n): 55896333053440
• 34064981196800 is an abundant number, because the sum of its proper divisors (55896333053440) is greater than itself. Its abundance is 21831351856640

Bases of 34064981196800

• Binary: 111101111101101011111000110101000000000000000₂
• Hexadecimal: 0x1EFB5F1A8000
• Base-36: C2P8I9TKW

Squares and roots of 34064981196800

• 34064981196800 squared (34064981196800²) is 1160422943938337560330240000
• 34064981196800 cubed (34064981196800³) is 39529785765594769531300811198431232000000
• The square root of 34064981196800 is 5836521.3266808167
• The cube root of 34064981196800 is 32416.7434914077

Scales and comparisons

• 34,064,981,196,800 seconds is equal to 1,083,161 years, 1 week, 4 days, 16 hours, 53 minutes, 20 seconds.
• To count from 1 to 34,064,981,196,800 would take you about two million, seven hundred seven thousand, nine hundred two 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 34064981196800 cubic inches would be around 2701.4 feet tall.

Recreational maths with 34064981196800

• 34064981196800 backwards is 00869118946043
• The number of decimal digits it has is: 14
• The sum of 34064981196800's digits is 59
• More coming soon!