34309142681472
34,309,142,681,472 is an even composite number composed of seven prime numbers multiplied together.
34309142681472 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of seven hundred sixty-eight divisors.
Prime factorization of 34309142681472:
27 × 32 × 17 × 29 × 31 × 43 × 45319
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 17 × 29 × 31 × 43 × 45319)See below for interesting mathematical facts about the number 34309142681472 from the Numbermatics database.
Names of 34309142681472
- Cardinal: 34309142681472 can be written as Thirty-four trillion, three hundred nine billion, one hundred forty-two million, six hundred eighty-one thousand, four hundred seventy-two.
Scientific notation
- Scientific notation: 3.4309142681472 × 1013
Factors of 34309142681472
Divisors of 34309142681472
- Number of divisors d(n): 768
-
Complete list of divisors:
1 2 3 4 6 8 9 12 16 17 18 24 29 31 32 34 36 43 48 51 58 62 64 68 72 86 87 93 96 102 116 124 128 129 136 144 153 172 174 186 192 204 232 248 258 261 272 279 288 306 344 348 372 384 387 408 464 493 496 516 522 527 544 558 576 612 688 696 731 744 774 816 899 928 986 992 1032 1044 1054 1088 1116 1152 1224 1247 1333 1376 1392 1462 1479 1488 1548 1581 1632 1798 1856 1972 1984 2064 2088 2108 2176 2193 2232 2448 2494 2666 2697 2752 2784 2924 2958 2976 3096 3162 3264 3596 3712 3741 3944 3968 3999 4128 4176 4216 4386 4437 4464 4743 4896 4988 5332 5394 5504 5568 5848 5916 5952 6192 6324 6528 6579 7192 7482 7888 7998 8091 8256 8352 8432 8772 8874 8928 9486 9792 9976 10664 10788 11136 11223 11696 11832 11904 11997 12384 12648 13158 14384 14964 15283 15776 15996 16182 16512 16704 16864 17544 17748 17856 18972 19584 19952 21199 21328 21576 22446 22661 23392 23664 23994 24768 25296 26316 28768 29928 30566 31552 31992 32364 33408 33728 35088 35496 35712 37944 38657 39904 42398 42656 43152 44892 45319 45322 45849 46784 47328 47988 49536 50592 52632 57536 59856 61132 63104 63597 63984 64728 67456 67983 70176 70992 75888 77314 79808 84796 85312 86304 89784 90638 90644 91698 93568 94656 95976 101184 105264 115072 115971 119712 122264 127194 127968 129456 135957 135966 137547 140352 141984 151776 154628 159616 169592 170624 172608 179568 181276 181288 183396 189312 190791 191952 202368 203949 210528 231942 239424 244528 254388 255936 258912 271914 271932 275094 280704 283968 303552 309256 339184 345216 347913 359136 362552 362576 366792 381582 383904 407871 407898 421056 463884 478848 489056 508776 511872 517824 543828 543864 550188 567936 607104 618512 657169 678368 695826 718272 725104 725152 733584 763164 767808 770423 815742 815796 842112 927768 978112 1017552 1035648 1087656 1087728 1100376 1237024 1314251 1314338 1356736 1391652 1404889 1436544 1450208 1450304 1467168 1526328 1535616 1540846 1631484 1631592 1855536 1948717 1956224 1971507 2035104 2175312 2175456 2200752 2311269 2474048 2628502 2628676 2713472 2783304 2809778 2900416 2900608 2934336 3052656 3081692 3262968 3263184 3711072 3897434 3942753 3943014 4070208 4214667 4350624 4350912 4401504 4622538 4948096 5257004 5257352 5566608 5619556 5800832 5846151 5868672 5914521 6105312 6163384 6525936 6526368 6933807 7422144 7794868 7885506 7886028 8140416 8429334 8701248 8701824 8803008 9245076 10514008 10514704 11133216 11239112 11692302 11828259 11829042 12210624 12326768 12644001 13051872 13052736 13867614 14844288 15589736 15771012 15772056 16858668 17402496 17538453 17606016 18490152 21028016 21029408 22266432 22342267 22478224 23384604 23656518 23658084 23883113 24421248 24653536 25288002 26103744 26105472 27735228 31179472 31542024 31544112 33128189 33717336 35076906 36980304 40741781 42056032 42058816 44532864 44684534 44956448 46769208 47313036 47316168 47766226 49307072 50576004 52207488 55470456 56512793 60410227 62358944 63084048 63088224 66256378 67026801 67434672 70153812 71649339 73960608 81483562 84112064 84117632 89369068 89912896 93538416 94626072 94632336 95532452 98614144 99384567 101152008 110940912 113025586 120820454 122225343 124717888 126168096 126176448 132512756 134053602 134869344 140307624 143298678 147921216 162967124 168224128 169538379 178738136 179825792 181230681 187076832 189252144 189264672 191064904 198769134 201080403 202304016 214948017 221881824 226051172 241640908 244450686 249435776 252336192 252352896 265025512 268107204 269738688 280615248 286597356 295842432 298153701 325934248 339076758 357476272 362461362 366676029 374153664 378504288 378529344 382129808 397538268 402160806 404608032 429896034 443763648 452102344 483281816 488901372 504672384 508615137 530051024 536214408 539477376 543692043 561230496 573194712 596307402 651868496 678153516 692610277 714952544 724922724 733352058 748307328 757008576 757058688 764259616 795076536 804321612 809216064 859792068 887527296 904204688 960717481 966563632 977802744 1017230274 1026973859 1060102048 1072428816 1087384086 1122460992 1146389424 1192614804 1303736992 1356307032 1385220554 1429905088 1449845448 1466704116 1514017152 1528519232 1590153072 1608643224 1618432128 1719584136 1751896583 1808409376 1921434962 1933127264 1955605488 2034460548 2053947718 2077830831 2120204096 2144857632 2174768172 2244921984 2292778848 2385229608 2607473984 2712614064 2770441108 2859810176 2882152443 2899690896 2933408232 3057038464 3080921577 3180306144 3217286448 3439168272 3503793166 3616818752 3842869924 3866254528 3911210976 4068921096 4107895436 4155661662 4240408192 4289715264 4349536344 4585557696 4770459216 5214947968 5255689749 5425228128 5540882216 5764304886 5799381792 5866816464 6161843154 6233492493 6360612288 6434572896 6878336544 7007586332 7233637504 7685739848 7732509056 7822421952 8137842192 8215790872 8311323324 8579430528 8646457329 8699072688 9171115392 9242764731 9540918432 10511379498 10850456256 11081764432 11528609772 11598763584 11733632928 12323686308 12466984986 12721224576 12869145792 13756673088 14015172664 15371479696 15644843904 15767069247 16275684384 16431581744 16622646648 17292914658 17398145376 18485529462 19081836864 21022758996 21700912512 22163528864 23057219544 23197527168 23467265856 24647372616 24933969972 25738291584 27513346176 28030345328 29782241911 30742959392 31534138494 32551368768 32863163488 33245293296 34585829316 34796290752 36971058924 38163673728 42045517992 44327057728 46114439088 46934531712 49294745232 49867939944 56060690656 59564483822 61485918784 63068276988 65102737536 65726326976 66490586592 69171658632 69592581504 73942117848 84091035984 88654115456 89346725733 92228878176 98589490464 99735879888 112121381312 119128967644 122971837568 126136553976 131452653952 132981173184 138343317264 147884235696 168182071968 178693451466 184457756352 197178980928 199471759776 224242762624 238257935288 252273107952 265962346368 268040177199 276686634528 295768471392 336364143936 357386902932 368915512704 394357961856 398943519552 476515870576 504546215904 536080354398 553373269056 591536942784 672728287872 714773805864 797887039104 953031741152 1009092431808 1072160708796 1106746538112 1183073885568 1429547611728 1906063482304 2018184863616 2144321417592 2859095223456 3812126964608 4288642835184 5718190446912 8577285670368 11436380893824 17154571340736 34309142681472
- Sum of all divisors σ(n): 114227283456000
- Sum of proper divisors (its aliquot sum) s(n): 79918140774528
- 34309142681472 is an abundant number, because the sum of its proper divisors (79918140774528) is greater than itself. Its abundance is 45608998093056
Bases of 34309142681472
- Binary: 1111100110100001110000100001100010111100000002
- Hexadecimal: 0x1F3438431780
- Base-36: C5TEHPSW0
Squares and roots of 34309142681472
- 34309142681472 squared (343091426814722) is 1177117271537603698452086784
- 34309142681472 cubed (343091426814723) is 40385884422008664899191693260119812866048
-
The
square root of 34309142681472 is 5857400.6761934939 -
The
cube root of 34309142681472 is 32494.0084202073
Scales and comparisons
How big is 34309142681472?- 34,309,142,681,472 seconds is equal to 1,090,924 years, 31 weeks, 5 days, 19 hours, 31 minutes, 12 seconds.
-
To count from 1 to 34,309,142,681,472 would take you about two million, seven hundred twenty-seven thousand, three hundred eleven 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 34309142681472 cubic inches would be around 2707.8 feet tall.
Recreational maths with 34309142681472
- 34309142681472 backwards is 27418624190343
- The number of decimal digits it has is: 14
- The sum of 34309142681472's digits is 54
- More coming soon!
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The information we have on file for 34309142681472 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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