12968449176960

Names of 12968449176960

• Cardinal: 12968449176960 can be written as Twelve trillion, nine hundred sixty-eight billion, four hundred forty-nine million, one hundred seventy-six thousand, nine hundred sixty.

Scientific notation

• Scientific notation: 1.296844917696 × 10¹³

Factors of 12968449176960

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 16
• Sum of prime factors: 134

Divisors of 12968449176960

• Number of divisors d(n): 768
• Complete list of divisors:
  1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 53 54 60 64 71 72 80 90 96 106 108 120 128 135 142 144 159 160 180 192 212 213 216 240 265 270 284 288 318 320 355 360 384 424 426 432 477 480 530 540 568 576 636 639 640 710 720 795 848 852 864 954 960 1060 1065 1080 1136 1152 1272 1278 1420 1431 1440 1590 1696 1704 1728 1908 1917 1920 2120 2130 2160 2272 2385 2544 2556 2809 2840 2862 2880 3180 3195 3392 3408 3456 3763 3816 3834 4240 4260 4320 4544 4770 5041 5088 5112 5618 5680 5724 5760 6360 6390 6784 6816 7155 7526 7632 7668 8427 8480 8520 8640 9088 9540 9585 10082 10176 10224 11236 11289 11360 11448 12720 12780 13632 14045 14310 15052 15123 15264 15336 16854 16960 17040 17280 18815 19080 19170 20164 20352 20448 22472 22578 22720 22896 25205 25281 25440 25560 27264 28090 28620 30104 30246 30528 30672 33708 33867 33920 34080 37630 38160 38340 40328 40896 42135 44944 45156 45369 45440 45792 50410 50562 50880 51120 56180 56445 57240 60208 60492 61056 61344 67416 67734 68160 75260 75615 75843 76320 76680 80656 81792 84270 89888 90312 90738 91584 100820 101124 101601 101760 102240 112360 112890 114480 120416 120984 122688 126405 134832 135468 136107 136320 148877 150520 151230 151686 152640 153360 161312 168540 169335 179776 180624 181476 183168 199439 201640 202248 203202 204480 224720 225780 226845 228960 240832 241968 245376 252810 267173 269664 270936 272214 297754 301040 302460 303372 305280 306720 322624 337080 338670 359552 361248 362952 379215 398878 403280 404496 406404 408960 446631 449440 451560 453690 457920 481664 483936 505620 508005 534346 539328 541872 544428 595508 598317 602080 604920 606744 613440 645248 674160 677340 680535 722496 725904 744385 758430 797756 801519 806560 808992 812808 893262 898880 903120 907380 915840 967872 997195 1011240 1016010 1068692 1078656 1083744 1088856 1191016 1196634 1204160 1209840 1213488 1226880 1335865 1339893 1348320 1354680 1361070 1444992 1451808 1488770 1516860 1595512 1603038 1613120 1617984 1625616 1786524 1794951 1797760 1806240 1814760 1935744 1994390 2022480 2032020 2137384 2167488 2177712 2233155 2382032 2393268 2404557 2408320 2419680 2426976 2671730 2679786 2696640 2709360 2722140 2903616 2977540 2991585 3033720 3191024 3206076 3226240 3235968 3251232 3573048 3589902 3612480 3629520 3988780 4007595 4019679 4044960 4064040 4274768 4334976 4355424 4466310 4764064 4786536 4809114 4839360 4853952 5343460 5359572 5384853 5393280 5418720 5444280 5807232 5955080 5983170 6067440 6382048 6412152 6502464 6699465 7146096 7179804 7213671 7224960 7259040 7977560 8015190 8039358 8089920 8128080 8549536 8710848 8932620 8974755 9528128 9573072 9618228 9678720 9707904 10570267 10686920 10719144 10769706 10837440 10888560 11910160 11966340 12022785 12134880 12764096 12824304 13004928 13398930 14160169 14292192 14359608 14427342 14518080 15955120 16030380 16078716 16179840 16256160 17099072 17421696 17865240 17949510 19056256 19146144 19236456 20098395 21140534 21373840 21438288 21539412 21674880 21777120 23820320 23932680 24045570 24269760 25528192 25648608 26797860 26924265 28320338 28584384 28719216 28854684 29036160 31710801 31910240 32060760 32157432 32512320 34198144 35730480 35899020 36068355 38292288 38472912 40196790 42281068 42480507 42747680 42876576 43078824 43554240 47640640 47865360 48091140 48539520 51297216 52851335 53595720 53848530 56640676 57168768 57438432 57709368 63421602 63820480 64121520 64314864 65024640 70800845 71460960 71798040 72136710 76584576 76945824 80393580 84562136 84961014 85495360 85753152 86157648 87108480 95132403 95281280 95730720 96182280 102594432 105702670 107191440 107697060 113281352 114876864 115418736 126843204 127441521 127640960 128243040 128629728 141601690 142921920 143596080 144273420 153891648 158554005 160787160 169124272 169922028 170990720 171506304 172315296 190264806 191461440 192364560 211405340 212402535 214382880 215394120 226562704 229753728 230837472 253686408 254883042 256486080 257259456 283203380 285397209 285843840 287192160 288546840 307783296 317108010 321574320 338248544 339844056 344630592 380529612 382324563 382922880 384729120 422810680 424805070 428765760 430788240 453125408 461674944 475662015 507372816 509766084 512972160 514518912 566406760 570794418 574384320 577093680 634216020 637207605 643148640 676497088 679688112 689261184 750488957 761059224 764649126 769458240 845621360 849610140 857531520 861576480 906250816 923349888 951324030 1014745632 1019532168 1132813520 1141588836 1148768640 1154187360 1268432040 1274415210 1286297280 1352994176 1359376224 1426986045 1500977914 1522118448 1529298252 1538916480 1691242720 1699220280 1723152960 1812501632 1902648060 1911622815 2029491264 2039064336 2251466871 2265627040 2283177672 2308374720 2536864080 2548830420 2572594560 2718752448 2853972090 3001955828 3044236896 3058596504 3382485440 3398440560 3446305920 3752444785 3805296120 3823245630 4058982528 4078128672 4502933742 4531254080 4566355344 4616749440 5073728160 5097660840 5437504896 5707944180 6003911656 6088473792 6117193008 6754400613 6764970880 6796881120 7504889570 7610592240 7646491260 8156257344 9005867484 9062508160 9132710688 10147456320 10195321680 11257334355 11415888360 12007823312 12176947584 12234386016 13508801226 13593762240 15009779140 15221184480 15292982520 16312514688 18011734968 18265421376 20263201839 20294912640 20390643360 22514668710 22831776720 24015646624 24468772032 27017602452 27187524480 30019558280 30442368960 30585965040 33772003065 36023469936 36530842752 40526403678 40781286720 45029337420 45663553440 48031293248 48937544064 54035204904 60039116560 60884737920 61171930080 67544006130 72046939872 81052807356 81562573440 90058674840 91327106880 96062586496 101316009195 108070409808 120078233120 122343860160 135088012260 144093879744 162105614712 180117349680 182654213760 202632018390 216140819616 240156466240 244687720320 270176024520 288187759488 324211229424 360234699360 405264036780 432281639232 480312932480 540352049040 648422458848 720469398720 810528073560 864563278464 1080704098080 1296844917696 1440938797440 1621056147120 2161408196160 2593689835392 3242112294240 4322816392320 6484224588480 12968449176960
• Sum of all divisors σ(n): 47481813144000
• Sum of proper divisors (its aliquot sum) s(n): 34513363967040
• 12968449176960 is an abundant number, because the sum of its proper divisors (34513363967040) is greater than itself. Its abundance is 21544914790080

Bases of 12968449176960

• Binary: 10111100101101110011110011100111010110000000₂
• Hexadecimal: 0xBCB73CE7580
• Base-36: 4LHMFSYO0

Squares and roots of 12968449176960

• 12968449176960 squared (12968449176960²) is 168180674055394501394841600
• 12968449176960 cubed (12968449176960³) is 2181042524034258847062043119509569536000
• The square root of 12968449176960 is 3601173.3055991627
• The cube root of 12968449176960 is 23494.3092766253

Scales and comparisons

• 12,968,449,176,960 seconds is equal to 412,356 years, 29 weeks, 4 days, 9 hours, 36 minutes.
• To count from 1 to 12,968,449,176,960 would take you about one million, thirty thousand, eight hundred ninety-one 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 12968449176960 cubic inches would be around 1957.9 feet tall.

Recreational maths with 12968449176960

• 12968449176960 backwards is 06967194486921
• 12968449176960 is a Harshad number.
• The number of decimal digits it has is: 14
• The sum of 12968449176960's digits is 72
• More coming soon!