34006456509480

Names of 34006456509480

• Cardinal: 34006456509480 can be written as Thirty-four trillion, six billion, four hundred fifty-six million, five hundred nine thousand, four hundred eighty.

Scientific notation

• Scientific notation: 3.400645650948 × 10¹³

Factors of 34006456509480

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 13
• Sum of prime factors: 397

Divisors of 34006456509480

• Number of divisors d(n): 768
• Complete list of divisors:
  1 2 3 4 5 6 7 8 9 10 12 13 14 15 18 20 21 24 26 27 28 30 35 36 39 40 42 45 49 52 54 56 60 63 65 70 72 78 84 90 91 98 104 105 108 117 120 126 130 135 140 147 156 168 180 182 189 195 196 210 216 234 245 252 260 270 273 280 294 312 315 351 360 364 367 378 390 392 420 441 455 468 490 504 520 540 546 585 588 630 637 702 728 734 735 756 780 819 840 882 910 936 945 980 1080 1092 1101 1170 1176 1260 1274 1323 1365 1404 1468 1470 1512 1560 1638 1755 1764 1820 1835 1890 1911 1960 2184 2202 2205 2340 2457 2520 2548 2569 2646 2730 2808 2936 2940 3185 3276 3303 3510 3528 3640 3670 3780 3822 4095 4404 4410 4680 4771 4914 5096 5138 5292 5460 5505 5733 5880 6370 6552 6606 6615 7020 7340 7560 7644 7707 8190 8808 8820 9542 9555 9828 9909 10276 10584 10920 11010 11466 12285 12740 12845 13212 13230 14040 14313 14680 15288 15414 16380 16515 17199 17640 17983 19084 19110 19656 19818 20552 22020 22932 23121 23855 24570 25480 25690 26424 26460 28626 28665 30828 32760 33030 33397 34398 35966 38168 38220 38535 39636 42939 44040 45864 46242 47710 49140 49545 51380 52920 53949 57252 57330 61656 66060 66794 68796 69363 71565 71932 76440 77070 79272 85878 85995 89915 92484 95420 98280 99090 100191 102760 107898 114504 114660 115605 128817 132120 133588 134689 137592 138726 143130 143864 154140 161847 166985 171756 171990 179830 184968 190840 198180 200382 214695 215796 229320 231210 233779 257634 267176 269378 269745 277452 286260 300573 308280 323694 333970 343512 343980 346815 359660 396360 400764 404067 429390 431592 462420 467558 485541 500955 515268 538756 539490 554904 572520 601146 644085 647388 667940 673445 687960 693630 701337 719320 801528 808134 809235 858780 901719 924840 935116 942823 971082 1001910 1030536 1077512 1078980 1168895 1202292 1212201 1288170 1294776 1335880 1346890 1387260 1402674 1502865 1616268 1618470 1717560 1750957 1803438 1870232 1885646 1942164 2003820 2020335 2104011 2157960 2337790 2404584 2424402 2427705 2576340 2693780 2774520 2805348 2828469 3005730 3232536 3236940 3501914 3506685 3606876 3636603 3771292 3884328 4007640 4040670 4208022 4508595 4675580 4714115 4848804 4855410 5152680 5252871 5387560 5610696 5656938 6011460 6061005 6312033 6473880 6599761 7003828 7013370 7213752 7273206 7542584 8081340 8416044 8485407 8754785 9017190 9351160 9428230 9697608 9710820 10505742 10520055 11313876 12022920 12122010 12256699 12624066 13199522 14007656 14026740 14142345 14546412 15758613 16162680 16832088 16970814 17509570 18034380 18183015 18856460 19421640 19799283 21011484 21040110 22627752 24244020 24513398 25248132 25456221 26264355 26399044 28053480 28284690 29092824 31517226 31560165 32998805 33941628 35019140 36068760 36366030 36770097 37712920 39598566 42022968 42080220 42427035 47275839 48488040 49026796 49430863 50496264 50912442 52528710 52798088 56569380 59397849 61283495 63034452 63120330 65997610 67883256 70038280 72732060 73540194 78793065 79197132 84160440 84854070 85796893 94551678 98053592 98861726 98996415 101824884 105057420 110310291 113138760 118795698 122566990 126068904 126240660 127281105 131995220 145464120 147080388 148292589 157586130 158394264 169708140 171593786 178193547 183850485 189103356 197723452 197992830 203649768 210114840 220620582 236379195 237591396 245133980 247154315 252481320 254562210 257390679 263990440 294160776 296585178 296989245 315172260 330930873 339416280 343187572 346016041 356387094 367700970 378206712 395446904 395985660 428984465 441241164 444877767 472758390 475182792 490267960 494308630 509124420 514781358 551551455 593170356 593978490 630344520 642601219 661861746 686375144 692032082 712774188 735401940 741462945 772172037 791971320 857968930 882482328 889755534 890967735 945516780 988617260 1018248840 1029562716 1038048123 1103102910 1186340712 1187956980 1285202438 1286953395 1323723492 1334633301 1384064164 1425548376 1470803880 1482925890 1544344074 1654654365 1715937860 1730080205 1779511068 1781935470 1891033560 1927803657 1977234520 2059125432 2076096246 2206205820 2224388835 2316516111 2375913960 2422112287 2570404876 2573906790 2647446984 2669266602 2768128328 2965851780 3088688148 3114144369 3213006095 3309308730 3431875720 3460160410 3559022136 3563870940 3855607314 3860860185 4152192492 4412411640 4448777670 4498208533 4633032222 4844224574 5140809752 5147813580 5190240615 5338533204 5783410971 5931703560 6177376296 6228288738 6426012190 6618617460 6673166505 6920320820 7127741880 7266336861 7711214628 7721720370 8304384984 8897555340 8996417066 9266064444 9342433107 9639018285 9688449148 10295627160 10380481230 10677066408 11566821942 11582580555 12110561435 12456577476 12852024380 13237234920 13346333010 13494625599 13840641640 14532673722 15422429256 15443440740 15570721845 17350232913 17795110680 17992834132 18532128888 18684866214 19278036570 19376898296 20760962460 21799010583 22491042665 23133643884 23165161110 24221122870 24913154952 25704048760 26692666020 26989251198 28917054855 29065347444 30886881480 31141443690 31487459731 34700465826 35985668264 36331684305 37369732428 38556073140 40483876797 41521924920 43598021166 44982085330 46267287768 46330322220 46712165535 48442245740 53385332040 53978502396 57834109710 58130694888 62282887380 62974919462 65397031749 67473127995 69400931652 72663368610 74739464856 77112146280 80967753594 86751164565 87196042332 89964170660 92660644440 93424331070 94462379193 96884491480 107957004792 108995052915 115668219420 121451630391 124565774760 125949838924 130794063498 134946255990 138801863304 145326737220 157437298655 161935507188 173502329130 174392084664 179928341320 186848662140 188924758386 202419383985 217990105830 231336438840 242903260782 251899677848 261588126996 269892511980 283387137579 290653474440 314874597310 323871014376 326985158745 347004658260 373697324280 377849516772 404838767970 435980211660 472311895965 485806521564 523176253992 539785023960 566774275158 607258151955 629749194620 653970317490 694009316520 755699033544 809677535940 850161412737 871960423320 944623791930 971613043128 1133548550316 1214516303910 1259498389240 1307940634980 1416935687895 1619355071880 1700322825474 1889247583860 2267097100632 2429032607820 2615881269960 2833871375790 3400645650948 3778495167720 4250807063685 4858065215640 5667742751580 6801291301896 8501614127370 11335485503160 17003228254740 34006456509480
• Sum of all divisors σ(n): 142392974976000
• Sum of proper divisors (its aliquot sum) s(n): 108386518466520
• 34006456509480 is an abundant number, because the sum of its proper divisors (108386518466520) is greater than itself. Its abundance is 74380061957040

Bases of 34006456509480

• Binary: 111101110110110111110110000101010010000101000₂
• Hexadecimal: 0x1EEDBEC2A428
• Base-36: C1YCM6NU0

Squares and roots of 34006456509480

• 34006456509480 squared (34006456509480²) is 1156439084331154665329870400
• 34006456509480 cubed (34006456509480³) is 39326395427170285240771642135564771392000
• The square root of 34006456509480 is 5831505.5096844417
• The cube root of 34006456509480 is 32398.1685285045

Scales and comparisons

• 34,006,456,509,480 seconds is equal to 1,081,300 years, 6 weeks, 4 days, 15 hours, 18 minutes.
• To count from 1 to 34,006,456,509,480 would take you about two million, seven hundred three thousand, two hundred fifty 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 34006456509480 cubic inches would be around 2699.8 feet tall.

Recreational maths with 34006456509480

• 34006456509480 backwards is 08490565460043
• 34006456509480 is a Harshad number.
• The number of decimal digits it has is: 14
• The sum of 34006456509480's digits is 54
• More coming soon!