34144872004404

Names of 34144872004404

• Cardinal: 34144872004404 can be written as Thirty-four trillion, one hundred forty-four billion, eight hundred seventy-two million, four thousand, four hundred four.

Scientific notation

• Scientific notation: 3.4144872004404 × 10¹³

Factors of 34144872004404

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 13
• Sum of prime factors: 599

Divisors of 34144872004404

• Number of divisors d(n): 720
• Complete list of divisors:
  1 2 3 4 6 7 9 12 14 17 18 21 27 28 34 36 42 51 54 63 68 79 81 84 102 108 119 126 153 158 162 189 204 237 238 252 289 306 316 324 357 378 459 474 476 491 553 567 578 612 711 714 756 867 918 948 982 1071 1106 1134 1156 1343 1377 1422 1428 1473 1659 1734 1836 1964 2023 2133 2142 2212 2268 2601 2686 2754 2844 2946 3213 3318 3437 3468 4029 4046 4266 4284 4419 4913 4977 5202 5372 5508 5892 6069 6241 6399 6426 6636 6874 7803 8058 8092 8347 8532 8838 9401 9639 9826 9954 10311 10404 12087 12138 12482 12798 12852 13257 13748 14739 14931 15606 16116 16694 17676 18207 18723 18802 19278 19652 19908 20622 22831 23409 24174 24276 24964 25041 25596 26514 28203 29478 29862 30933 31212 33388 34391 36261 36414 37446 37604 38556 38789 39771 41244 43687 44217 44793 45662 46818 48348 50082 53028 54621 56169 56406 58429 58956 59724 61866 68493 68782 72522 72828 74892 75123 77578 79542 84609 87374 88434 89586 91324 92799 93636 100164 103173 106097 108783 109242 112338 112812 116367 116858 123732 131061 132651 136986 137564 141899 145044 150246 155156 159084 159817 163863 168507 169218 174748 175287 176868 179172 185598 205479 206346 212194 217566 218484 224676 225369 232734 233716 253827 262122 265302 271523 273972 278397 283798 300492 309519 318291 319634 327726 337014 338436 349101 350574 371196 388127 393183 397953 410958 412692 424388 425697 435132 450738 465468 479451 505521 507654 524244 525861 530604 543046 556794 567596 616437 619038 636582 639268 655452 659413 674028 676107 698202 701148 742679 761481 776254 786366 795906 814569 821916 851394 901476 928557 954873 958902 993293 1011042 1015308 1047303 1051722 1086092 1113588 1164381 1179549 1232874 1238076 1273164 1277091 1318826 1352214 1396404 1438353 1485358 1522962 1552508 1572732 1577583 1591812 1629138 1702788 1803649 1849311 1857114 1909746 1917804 1978239 1986586 2022084 2094606 2103444 2228037 2328762 2359098 2412283 2443707 2465748 2554182 2637652 2704428 2716889 2785671 2864619 2876706 2970716 2979879 3045924 3064331 3141909 3155166 3258276 3493143 3538647 3607298 3698622 3714228 3819492 3831273 3956478 3973172 4189212 4315059 4456074 4615891 4657524 4718196 4732749 4824566 4887414 5108364 5410947 5433778 5571342 5729238 5753412 5934717 5959758 6128662 6283818 6310332 6684111 6986286 7077294 7214596 7236849 7331121 7397244 7662546 7912956 8150667 8593857 8630118 8912148 8939637 9192993 9231782 9465498 9649132 9774828 10479429 10821894 10867556 11142684 11210021 11458476 11493819 11869434 11919516 12257324 12567636 12625543 12945177 13368222 13847673 13972572 14154588 14473698 14662242 15325092 16232841 16301334 16885981 17187714 17260236 17804151 17879274 18385986 18463564 18930996 20052333 20958858 21450317 21643788 21710547 21993363 22420042 22987638 23738868 24452001 25251086 25890354 26736444 26818911 27578979 27695346 28947396 29324484 30662033 31438287 32465682 32602668 33630063 33771962 34375428 35608302 35758548 36771972 37876629 40104666 41543019 41917716 42900634 43421094 43986726 44840084 45975276 48698523 48904002 50502172 50657943 51780708 52093627 53412453 53637822 55157958 55390692 60156999 61324066 62876574 64350951 64931364 65131641 67260126 67543924 71216604 73356003 75753258 78470147 80209332 80456733 82736937 83086038 85801268 86842188 87973452 91986099 97397046 97808004 100890189 101315886 104187254 106824906 107275644 110315916 113629887 120313998 122648132 124629057 125753148 128701902 130263282 134520252 146095569 146712006 151506516 151973829 156280881 156940294 160913466 165473874 166172076 183972198 190570357 193052853 194794092 195394923 201780378 202631772 208374508 213649812 214634231 220068009 227259774 235410441 240627996 248210811 249258114 257403804 260526564 275958297 292191138 293424012 302670567 303947658 312561762 313880588 321826932 330947748 340889661 364655389 367944396 373887171 381140714 386105706 390789846 403560756 429268462 440136018 454519548 455921487 468842643 470820882 496421622 498516228 551916594 571711071 579158559 584382276 605341134 607895316 625123524 643902693 681779322 706231323 729310778 747774342 762281428 772211412 781579692 827874891 858536924 880272036 885591659 908011701 911842974 937685286 941641764 992843244 1022668983 1093966167 1103833188 1143422142 1158317118 1210682268 1287805386 1333992499 1363558644 1367764461 1406527929 1412462646 1458621556 1495548684 1655749782 1715133213 1737475677 1771183318 1816023402 1823685948 1875370572 1931708079 2045337966 2118693969 2187932334 2286844284 2316634236 2483624673 2575610772 2656774977 2667984998 2735528922 2813055858 2824925292 3281898501 3311499564 3430266426 3474951354 3542366636 3632046804 3863416158 4001977497 4090675932 4219583787 4237387938 4375864668 4967249346 5145399639 5313549954 5335969996 5471057844 5626111716 5795124237 6199141613 6356081907 6563797002 6860532852 6949902708 7726832316 7970324931 8003954994 8439167574 8474775876 9845695503 9934498692 10290799278 10627099908 11590248474 12005932491 12398283226 12712163814 13127594004 15055058203 15436198917 15940649862 16007909988 16878335148 17385372711 18597424839 19691391006 20581598556 23180496948 23910974793 24011864982 24796566452 25424327628 29537086509 30110116406 30872397834 31881299724 34770745422 36017797473 37194849678 39382782012 45165174609 47821949586 48023729964 55792274517 59074173018 60220232812 61744795668 69541490844 71732924379 72035594946 74389699356 90330349218 95643899172 105385407421 108053392419 111584549034 118148346036 135495523827 143465848758 144071189892 167376823551 180660698436 210770814842 216106784838 223169098068 270991047654 286931697516 316156222263 334753647102 406486571481 421541629684 432213569676 502130470653 541982095308 632312444526 669507294204 812973142962 948468666789 1004260941306 1219459714443 1264624889052 1625946285924 1896937333578 2008521882612 2438919428886 2845406000367 3793874667156 4877838857772 5690812000734 8536218001101 11381624001468 17072436002202 34144872004404
• Sum of all divisors σ(n): 110000533991040
• Sum of proper divisors (its aliquot sum) s(n): 75855661986636
• 34144872004404 is an abundant number, because the sum of its proper divisors (75855661986636) is greater than itself. Its abundance is 41710789982232

Bases of 34144872004404

• Binary: 111110000110111111000111101110111101100110100₂
• Hexadecimal: 0x1F0DF8F77B34
• Base-36: C3PXR7390

Squares and roots of 34144872004404

• 34144872004404 squared (34144872004404²) is 1165872284197132032595395216
• 34144872004404 cubed (34144872004404³) is 39808559917393197559673766911282472531264
• The square root of 34144872004404 is 5843361.3617851839
• The cube root of 34144872004404 is 32442.0654670993

Scales and comparisons

• 34,144,872,004,404 seconds is equal to 1,085,701 years, 16 weeks, 1 day, 19 hours, 53 minutes, 24 seconds.
• To count from 1 to 34,144,872,004,404 would take you about two million, seven hundred fourteen thousand, two hundred fifty-three 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 34144872004404 cubic inches would be around 2703.5 feet tall.

Recreational maths with 34144872004404

• 34144872004404 backwards is 40440027844143
• The number of decimal digits it has is: 14
• The sum of 34144872004404's digits is 45
• More coming soon!