34013806684942140
34,013,806,684,942,140 is an even composite number composed of nine prime numbers multiplied together.
What does the number 34013806684942140 look like?
This visualization shows the relationship between its 9 prime factors (large circles) and 2304 divisors.
34013806684942140 is an even composite number. It is composed of nine distinct prime numbers multiplied together. It has a total of two thousand, three hundred four divisors.
Prime factorization of 34013806684942140:
22 × 33 × 5 × 72 × 19 × 29 × 61 × 83 × 460793
(2 × 2 × 3 × 3 × 3 × 5 × 7 × 7 × 19 × 29 × 61 × 83 × 460793)See below for interesting mathematical facts about the number 34013806684942140 from the Numbermatics database.
Names of 34013806684942140
- Cardinal: 34013806684942140 can be written as Thirty-four quadrillion, thirteen trillion, eight hundred six billion, six hundred eighty-four million, nine hundred forty-two thousand, one hundred forty.
Scientific notation
- Scientific notation: 3.401380668494214 × 1016
Factors of 34013806684942140
Divisors of 34013806684942140
- Number of divisors d(n): 2304
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Complete list of divisors:
1 2 3 4 5 6 7 9 10 12 14 15 18 19 20 21 27 28 29 30 35 36 38 42 45 49 54 57 58 60 61 63 70 76 83 84 87 90 95 98 105 108 114 116 122 126 133 135 140 145 147 166 171 174 180 183 189 190 196 203 210 228 244 245 249 252 261 266 270 285 290 294 305 315 332 342 348 366 378 380 399 406 415 420 427 435 441 490 498 513 522 532 540 549 551 570 580 581 588 609 610 630 665 684 732 735 747 756 783 798 812 830 854 855 870 882 915 931 945 980 996 1015 1026 1044 1098 1102 1140 1159 1162 1197 1218 1220 1245 1260 1281 1305 1323 1330 1421 1470 1494 1566 1577 1596 1647 1653 1660 1708 1710 1740 1743 1764 1769 1827 1830 1862 1890 1995 2030 2052 2135 2196 2204 2205 2241 2318 2324 2394 2407 2436 2490 2562 2565 2610 2646 2660 2745 2755 2793 2842 2905 2940 2988 2989 3045 3132 3154 3294 3306 3420 3477 3486 3538 3591 3654 3660 3724 3735 3780 3843 3857 3915 3990 4060 4067 4263 4270 4410 4482 4636 4655 4731 4788 4814 4959 4980 5063 5124 5130 5220 5229 5292 5307 5481 5490 5510 5586 5684 5795 5810 5978 5985 6090 6308 6405 6588 6612 6615 6954 6972 7076 7105 7182 7221 7308 7470 7686 7714 7830 7885 7980 8113 8134 8235 8265 8379 8526 8540 8715 8820 8845 8964 8967 9135 9310 9462 9628 9918 10126 10260 10431 10458 10614 10962 10980 11020 11039 11172 11205 11529 11571 11590 11620 11956 11970 12035 12180 12201 12383 12789 12810 13230 13908 13965 14193 14210 14364 14442 14877 14940 14945 15189 15372 15428 15660 15687 15770 15921 16226 16268 16470 16530 16758 16849 17052 17385 17430 17690 17934 17955 18270 18620 18924 19215 19285 19836 20252 20335 20862 20916 21228 21315 21663 21924 22078 22410 23058 23142 23180 23655 23940 24070 24339 24402 24766 24795 25137 25315 25578 25620 26145 26460 26535 26901 26999 27405 27930 28386 28420 28884 29754 29890 30378 31293 31374 31540 31842 32452 32940 33060 33117 33516 33611 33698 34713 34770 34860 35380 35441 35868 35910 36105 36540 36603 37149 38367 38430 38570 40565 40670 41724 41895 42579 42630 43326 44156 44820 44835 45567 45733 46116 46284 47310 47763 48140 48678 48804 49532 49590 50274 50547 50630 51156 52155 52290 53070 53802 53998 54810 55195 55860 56772 56791 57645 57855 59508 59780 60756 61005 61915 62586 62748 63684 63945 64989 66234 67222 67396 69426 69540 70882 70965 71820 72210 73017 73206 74298 74385 75945 76734 76860 77140 77273 78435 79605 80703 80997 81130 81340 83790 84245 85158 85260 86652 86681 89670 91134 91466 94620 95526 96197 97356 99180 99351 100548 100833 101094 101260 104139 104310 104580 106140 106323 107604 107996 108315 109620 109809 110390 111447 113582 115290 115710 117943 121695 122010 123830 125172 125685 127890 129978 132468 134444 134505 134995 136701 137199 138852 141764 141930 144420 146034 146412 146827 148596 148770 151641 151890 153468 154546 156465 156870 159210 161406 161994 162260 165585 167580 168055 168490 170316 170373 173362 173565 177205 179340 182268 182932 183015 185745 191052 191835 192394 198702 201666 202188 208278 208620 212646 212895 216630 219051 219618 220780 222894 227164 227835 228665 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15425762668908 15432761653785 15488983007715 15931525379364 16575929183695 16755569795538 17049527160372 17996723113726 18267350528970 18586779609258 18617299772820 19227703044060 19282203336135 19514519038980 19548164761461 19891115020434 19914406724205 20490244990929 20577015538380 20651977343620 21311908950465 21568678937820 21720183068290 22766938878810 23138644003362 23936528279340 25574290740558 25709604448180 26064219681948 26552542298940 26995084670589 27320326654572 27880169413887 27925949659230 28415878600620 29271778558470 29347546751460 29836672530651 30865523307570 30977966015430 32580274602435 33151858367390 33511139591076 34150408318215 34707966005043 35993446227452 36534701057940 37173559218516 38564406672270 39096329522922 39782230040868 39828813448410 40980489981858 41888924488845 42623817900930 43440366136580 44991807784315 45533877757620 46277288006724 46466949023145 49727787551085 51148581481116 53990169341178 55760338827774 55851899318460 57846610008405 58543557116940 58644494284383 59673345061302 61731046615140 61955932030860 62988530898041 63935726851395 65160549204870 66303716734780 68300816636430 69415932010086 77128813344540 78192659045844 79657626896820 80985254011767 81960979963716 83777848977690 85247635801860 89510017591953 89983615568630 92933898046290 97740823807305 99455575102170 102451224954645 107980338682356 111520677655548 115693220016810 117288988568766 119346690122604 125977061796082 127871453702790 130321098409740 134975423352945 136601633272860 138831864020172 139400847069435 149183362653255 161970508023534 167555697955380 173539830025215 179020035183906 179967231137260 185867796092580 188965592694123 195481647614610 198911150204340 204902449909290 231386440033620 234577977137532 242955762035301 251954123592164 255742907405580 269950846705890 278801694138870 293222471421915 298366725306510 314942654490205 323941016047068 347079660050430 358040070367812 377931185388246 390963295229220 404926270058835 409804899818580 447550087959765 485911524070602 539901693411780 557603388277740 566896778082369 586444942843830 596733450613020 629885308980410 694159320100860 755862370776492 809852540117670 895100175919530 944827963470615 971823048141204 1133793556164738 1172889885687660 1214778810176505 1259770617960820 1619705080235340 1700690334247107 1790200351839060 1889655926941230 2267587112329476 2429557620353010 2834483890411845 3401380668494214 3779311853882460 4859115240706020 5668967780823690 6802761336988428 8503451671235535 11337935561647380 17006903342471070 34013806684942140
- Sum of all divisors σ(n): 137883779373312000
- Sum of proper divisors (its aliquot sum) s(n): 103869972688369860
- 34013806684942140 is an abundant number, because the sum of its proper divisors (103869972688369860) is greater than itself. Its abundance is 69856166003427720
Bases of 34013806684942140
- Binary: 11110001101011101100000100000001110101000101111001111002
- Hexadecimal: 0x78D76080EA2F3C
- Base-36: 9AWVZ2PR130
Squares and roots of 34013806684942140
- 34013806684942140 squared (340138066849421402) is 1156939045200614611515415147779600
- 34013806684942140 cubed (340138066849421403) is 39351901029715241946116398172673739466175472344000
-
The
square root of 34013806684942140 is 184428323.9769372843 -
The
cube root of 34013806684942140 is 324005.0254673889
Scales and comparisons
How big is 34013806684942140?- 34,013,806,684,942,140 seconds is equal to 1,081,533,840 years, 50 weeks, 2 days, 18 hours, 9 minutes.
-
To count from 1 to 34,013,806,684,942,140 would take you about three billion, two hundred forty-four million, six hundred one thousand, five hundred twenty-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 34013806684942140 cubic inches would be around 27000.4 feet tall.
Recreational maths with 34013806684942140
- 34013806684942140 backwards is 04124948660831043
- 34013806684942140 is a
Harshad number . - The number of decimal digits it has is: 17
- The sum of 34013806684942140's digits is 63
- More coming soon!
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"Number 34013806684942140 - Facts about the integer". Numbermatics.com. 2024. Web. 13 May 2024.
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Numbermatics. (2024). Number 34013806684942140 - Facts about the integer. Retrieved 13 May 2024, from https://numbermatics.com/n/34013806684942140/
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The information we have on file for 34013806684942140 includes mathematical data and numerical statistics calculated using standard algorithms and methods. We are adding more all the time. If there are any features you would like to see, please contact us. Information provided for educational use, intellectual curiosity and fun!
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