968083013749040
968,083,013,749,040 is an even composite number composed of six prime numbers multiplied together.
What does the number 968083013749040 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 720 divisors.
968083013749040 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of seven hundred twenty divisors.
Prime factorization of 968083013749040:
24 × 5 × 72 × 433 × 1312 × 181
(2 × 2 × 2 × 2 × 5 × 7 × 7 × 43 × 43 × 43 × 131 × 131 × 181)See below for interesting mathematical facts about the number 968083013749040 from the Numbermatics database.
Names of 968083013749040
- Cardinal: 968083013749040 can be written as Nine hundred sixty-eight trillion, eighty-three billion, thirteen million, seven hundred forty-nine thousand and forty.
Scientific notation
- Scientific notation: 9.6808301374904 × 1014
Factors of 968083013749040
Divisors of 968083013749040
- Number of divisors d(n): 720
-
Complete list of divisors:
1 2 4 5 7 8 10 14 16 20 28 35 40 43 49 56 70 80 86 98 112 131 140 172 181 196 215 245 262 280 301 344 362 392 430 490 524 560 602 655 688 724 784 860 905 917 980 1048 1204 1267 1310 1448 1505 1720 1810 1834 1849 1960 2096 2107 2408 2534 2620 2896 3010 3440 3620 3668 3698 3920 4214 4585 4816 5068 5240 5633 6020 6335 6419 7240 7336 7396 7783 8428 8869 9170 9245 10136 10480 10535 11266 12040 12670 12838 12943 14480 14672 14792 15566 16856 17161 17738 18340 18490 20272 21070 22532 23711 24080 25340 25676 25886 28165 29584 31132 32095 33712 34322 35476 36680 36980 38915 39431 42140 44345 45064 47422 50680 51352 51772 54481 56330 62264 64190 64715 68644 70952 73360 73960 77830 78862 79507 84280 85805 88690 90128 90601 94844 101360 102704 103544 108962 112660 118555 120127 124528 128380 129430 137288 141904 147920 155660 157724 159014 165977 168560 171610 177380 181202 189688 197155 207088 217924 225320 237110 240254 242219 256760 258860 272405 274576 276017 311320 315448 318028 331954 334669 343220 354760 362404 379376 381367 394310 397535 435848 450640 453005 474220 480508 484438 513520 517720 544810 552034 556549 600635 622640 630896 636056 663908 669338 686440 709520 724808 737923 762734 788620 795070 829885 840889 871696 906010 948440 961016 968876 1019573 1035440 1089620 1104068 1113098 1161839 1201270 1211095 1272112 1327816 1338676 1372880 1380085 1449616 1475846 1525468 1577240 1590140 1659770 1673345 1681778 1695533 1812020 1896880 1906835 1922032 1937752 2039146 2179240 2208136 2226196 2323678 2342683 2402540 2422190 2655632 2677352 2760170 2782745 2951692 3050936 3106141 3154480 3180280 3319540 3346690 3363556 3391066 3624040 3689615 3813670 3875504 3895843 4078292 4204445 4358480 4416272 4452392 4647356 4685366 4805080 4844380 5097865 5165461 5354704 5520340 5565490 5809195 5903384 6101872 6212282 6360560 6639080 6693380 6727112 6782132 7137011 7248080 7379230 7627340 7791686 8156584 8408890 8477665 8904784 9294712 9370732 9610160 9688760 10195730 10330922 10415417 11040680 11130980 11618390 11713415 11806768 11868731 12424564 13278160 13386760 13454224 13564264 14274022 14390767 14758460 15254680 15530705 15583372 16313168 16398781 16817780 16955330 18589424 18741464 19377520 19479215 20391460 20661844 20830834 21742987 22081360 22261960 23236780 23426830 23737462 24849128 25827305 26773520 27128528 28548044 28781534 29516920 30509360 31061410 31166744 31730689 32797562 33635560 33910660 35685055 36158227 37482928 38958430 40782920 41323688 41661668 43485974 43841639 44523920 46473560 46853660 47474924 49698256 49959077 51654610 52077085 57096088 57563068 59033840 59343655 62122820 62333488 63461378 65595124 67271120 67821320 71370110 71953835 72316454 72907919 77916860 81565840 81993905 82647376 83323336 86971948 87683278 92947120 93707320 94949848 99918154 100735369 103309220 104154170 108714935 114192176 115126136 118687310 124245640 126922756 131190248 133564063 135642640 142740220 143907670 144632908 145815838 152200909 155833720 158653445 163987810 166646672 173943896 175366556 180791135 187414640 189899696 199836308 201470738 206618440 208308340 217429870 219208195 222114823 230252272 237374620 248491280 249795385 253845512 262380496 267128126 285480440 287815340 289265816 291631676 304401818 306891473 311667440 317306890 327975620 347887792 350733112 361582270 364539595 399672616 402941476 413236880 416616680 434859740 438416390 444229646 474749240 499590770 503676845 507691024 510355433 534256252 570960880 575630680 578531632 583263352 608803636 613782946 634613780 655951240 667820315 701466224 705147583 723164540 729079190 761004545 799345232 805882952 833233360 869719480 876832780 888459292 934948441 949498480 999181540 1007353690 1020710866 1068512504 1110574115 1151261360 1166526704 1217607272 1227565892 1269227560 1311902480 1335640630 1364419627 1410295166 1446329080 1458158380 1522009090 1534457365 1554803761 1611765904 1739438960 1753665560 1776918584 1869896882 1885190477 1998363080 2014707380 2041421732 2137025008 2148240311 2221148230 2435214544 2455131784 2538455120 2551777165 2671281260 2728839254 2820590332 2892658160 2916316760 3044018180 3068914730 3109607522 3507331120 3525737915 3553837168 3739793764 3770380954 3996726160 4029414760 4082843464 4296480622 4442296460 4674742205 4910263568 5103554330 5342562520 5457678508 5641180664 5743254709 5832633520 6088036360 6137829460 6219215044 6544639087 6822098135 7051475830 7479587528 7540761908 7774018805 8058829520 8165686928 8592961244 8884592920 9349484410 9425952385 9550937389 10207108660 10685125040 10741201555 10915357016 11282361328 11486509418 12176072720 12275658920 12438430088 13089278174 13196333339 13644196270 14102951660 14959175056 15081523816 15548037610 17185922488 17769185840 18698968820 18851904770 19101874778 20414217320 21482403110 21830714032 22973018836 24551317840 24876860176 26178556348 26392666678 27288392540 28205903320 28716273545 30163047632 31096075220 32723195435 34371844976 37397937640 37703809540 38203749556 40202782963 40828434640 42964806220 45946037672 47754686945 52357112696 52785333356 54576785080 56411806640 57432547090 62192150440 65446390870 65981666695 66856561723 74795875280 75407619080 76407499112 80405565926 85929612440 91892075344 92374333373 95509373890 104714225392 105570666712 109153570160 114865094180 124384300880 130892781740 131963333390 133713123446 150815238160 152814998224 160811131852 171859224880 184748666746 191018747780 201013914815 211141333424 229730188360 246959952487 261785563480 263926666780 267426246892 281419480741 321622263704 334282808615 369497333492 382037495560 402027829630 459460376720 461871666865 493919904974 523571126960 527853333560 534852493784 562838961482 643244527408 668565617230 738994666984 764074991120 804055659260 923743333730 987839809948 1055706667120 1069704987568 1125677922964 1234799762435 1337131234460 1407097403705 1477989333968 1608111318520 1728719667409 1847486667460 1975679619896 2251355845928 2469599524870 2674262468920 2814194807410 3216222637040 3457439334818 3694973334920 3951359239792 4502711691856 4939199049740 5348524937840 5628389614820 6914878669636 7389946669840 8643598337045 9878398099480 11256779229640 12101037671863 13829757339272 17287196674090 19756796198960 22513558459280 24202075343726 27659514678544 34574393348180 48404150687452 60505188359315 69148786696360 96808301374904 121010376718630 138297573392720 193616602749808 242020753437260 484041506874520 968083013749040
- Sum of all divisors σ(n): 2716151150512800
- Sum of proper divisors (its aliquot sum) s(n): 1748068136763760
- 968083013749040 is an abundant number, because the sum of its proper divisors (1748068136763760) is greater than itself. Its abundance is 779985123014720
Bases of 968083013749040
- Binary: 110111000001110111011001000010010111001001001100002
- Hexadecimal: 0x370776425C930
- Base-36: 9J5N7381M8
Squares and roots of 968083013749040
- 968083013749040 squared (9680830137490402) is 937184721509423969676100921600
- 968083013749040 cubed (9680830137490403) is 907272609638397908257879344520791415115264000
-
The
square root of 968083013749040 is 31114032.4250817737 -
The
cube root of 968083013749040 is 98924.5765614277
Scales and comparisons
How big is 968083013749040?- 968,083,013,749,040 seconds is equal to 30,782,045 years, 18 weeks, 4 days, 23 hours, 37 minutes, 20 seconds.
-
To count from 1 to 968,083,013,749,040 would take you about seventy-six million, nine hundred fifty-five thousand, one hundred thirteen 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 968083013749040 cubic inches would be around 8243.7 feet tall.
Recreational maths with 968083013749040
- 968083013749040 backwards is 040947310380869
- The number of decimal digits it has is: 15
- The sum of 968083013749040's digits is 62
- More coming soon!
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The information we have on file for 968083013749040 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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