146198939321120

Names of 146198939321120

• Cardinal: 146198939321120 can be written as One hundred forty-six trillion, one hundred ninety-eight billion, nine hundred thirty-nine million, three hundred twenty-one thousand, one hundred twenty.

Scientific notation

• Scientific notation: 1.4619893932112 × 10¹⁴

Factors of 146198939321120

• Number of distinct prime factors ω(n): 7
• Total number of prime factors Ω(n): 12
• Sum of prime factors: 11146

Divisors of 146198939321120

• Number of divisors d(n): 576
• Complete list of divisors:
  1 2 4 5 7 8 10 14 16 20 28 32 35 40 41 49 56 70 80 82 98 112 127 140 160 164 196 205 224 245 254 280 287 328 337 392 410 490 508 560 574 635 656 674 784 820 889 980 1016 1120 1148 1270 1312 1348 1435 1568 1640 1685 1778 1960 2009 2032 2296 2359 2540 2696 2870 3280 3370 3556 3920 4018 4064 4445 4592 4718 5080 5207 5392 5740 6223 6560 6740 7112 7840 8036 8890 9184 9436 10045 10160 10414 10627 10784 11480 11795 12446 13480 13817 14224 16072 16513 17780 18872 20090 20320 20828 21254 22960 23590 24892 26035 26960 27634 28448 31115 32144 33026 35560 36449 37744 40180 41656 42508 42799 45920 47180 49784 52070 53135 53920 55268 62230 64288 66052 69085 71120 72898 74389 75488 80360 82565 83312 85016 85598 94360 96719 99568 104140 106270 110536 124460 132104 138170 142240 145796 148778 160720 165130 166624 170032 171196 182245 188720 193438 199136 208280 212540 213995 221072 248920 255143 264208 276340 291592 297556 299593 321440 330260 340064 342392 364490 371945 377440 386876 416560 425080 427990 435707 442144 483595 497840 510286 520723 528416 552680 583184 595112 599186 660520 677033 684784 728980 743890 773752 833120 850160 855980 871414 967190 995680 1020572 1041446 1105360 1166368 1190224 1198372 1275715 1321040 1349629 1354066 1369568 1457960 1487780 1497965 1547504 1700320 1711960 1742828 1754759 1934380 2041144 2082892 2097151 2178535 2210720 2380448 2396744 2551430 2603615 2642080 2699258 2708132 2915920 2975560 2995930 3049949 3095008 3385165 3423920 3485656 3509518 3581299 3868760 4082288 4165784 4194302 4357070 4793488 5102860 5207230 5398516 5416264 5831840 5951120 5991860 6099898 6748145 6770330 6847840 6971312 7019036 7162598 7737520 8164576 8331568 8388604 8714140 8773795 9447403 9586976 10205720 10414460 10485755 10797032 10832528 11902240 11983720 12199796 12283313 13496290 13540660 13942624 14038072 14325196 15249745 15475040 16663136 16777208 17428280 17547590 17906495 18894806 20411440 20828920 20971510 21349643 21594064 21665056 23967440 24399592 24566626 25069093 26992580 27081320 28076144 28650392 30499490 33554416 34856560 35095180 35812990 37789612 40822880 41657840 41943020 42699286 43188128 47237015 47934880 48799184 49133252 50138186 53985160 54162640 55334789 56152288 57300784 60998980 61416565 66131821 67108832 69713120 70190360 71625980 75579224 83315680 83886040 85398572 85983191 94474030 97598368 98266504 100276372 106748215 107970320 108325280 110669578 114601568 121997960 122833130 125345465 132263642 140380720 143251960 146833259 151158448 167772080 170797144 171966382 175483651 188948060 196533008 200552744 213496430 215940640 221339156 243995920 245666260 250690930 264527284 276673945 280761440 286503920 293666518 302316896 330659105 335544160 341594288 343932764 350967302 377896120 387343523 393066016 401105488 426992860 429915955 442678312 454824973 487991840 491332520 501381860 529054568 553347890 573007840 587333036 661318210 683188576 687865528 701934604 734166295 755792240 774687046 802210976 853985720 859831910 877418255 885356624 909649946 982665040 1002763720 1027832813 1058109136 1106695780 1174666072 1322636420 1375731056 1403869208 1468332590 1511584480 1549374092 1707971440 1719663820 1754836510 1770713248 1819299892 1936717615 1965330080 2005527440 2055665626 2116218272 2213391560 2274124865 2349332144 2645272840 2711404661 2751462112 2807738416 2936665180 3098748184 3183774811 3415942880 3439327640 3509673020 3638599784 3873435230 4011054880 4111331252 4426783120 4548249730 4698664288 5139164065 5290545680 5422809322 5615476832 5873330360 6197496368 6367549622 6878655280 7019346040 7194829691 7277199568 7746870460 8222662504 8853566240 9096499460 10278328130 10581091360 10845618644 11746660720 12394992736 12735099244 13557023305 13757310560 14038692080 14389659382 14554399136 15493740920 15918874055 16445325008 18192998920 18647823893 20556656260 21691237288 22286423677 23493321440 25470198488 27114046610 28077384160 28779318764 30987481840 31837748110 32890650016 35974148455 36385997840 37295647786 41113312520 43382474576 44572847354 50940396976 54228093220 57558637528 61974963680 63675496220 71948296910 72771995680 74591295572 82226625040 86764949152 89145694708 93239119465 101880793952 108456186440 111432118385 115117275056 127350992440 130534767251 143896593820 149182591144 164453250080 178291389416 186478238930 216912372880 222864236770 230234550112 254701984880 261069534502 287793187640 298365182288 356582778832 372956477860 433824745760 445728473540 509403969760 522139069004 575586375280 596730364576 652673836255 713165557664 745912955720 891456947080 913743370757 1044278138008 1151172750560 1305347672510 1491825911440 1782913894160 1827486741514 2088556276016 2610695345020 2983651822880 3565827788320 3654973483028 4177112552032 4568716853785 5221390690040 7309946966056 9137433707570 10442781380080 14619893932112 18274867415140 20885562760160 29239787864224 36549734830280 73099469660560 146198939321120
• Sum of all divisors σ(n): 416096594694144
• Sum of proper divisors (its aliquot sum) s(n): 269897655373024
• 146198939321120 is an abundant number, because the sum of its proper divisors (269897655373024) is greater than itself. Its abundance is 123698716051904

Bases of 146198939321120

• Binary: 100001001111011110010111110110000100001100100000₂
• Hexadecimal: 0x84F797D84320
• Base-36: 1FTMV5Q68W

Squares and roots of 146198939321120

• 146198939321120 squared (146198939321120²) is 21374129858620527686478054400
• 146198939321120 cubed (146198939321120³) is 3124875114242201731583440050746114428928000
• The square root of 146198939321120 is 12091275.3389011863
• The cube root of 146198939321120 is 52680.2799187465

Scales and comparisons

• 146,198,939,321,120 seconds is equal to 4,648,674 years, 2 weeks, 3 days, 6 hours, 5 minutes, 20 seconds.
• To count from 1 to 146,198,939,321,120 would take you about eleven million, six hundred twenty-one thousand, six hundred eighty-five 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 146198939321120 cubic inches would be around 4390 feet tall.

Recreational maths with 146198939321120

• 146198939321120 backwards is 021123939891641
• The number of decimal digits it has is: 15
• The sum of 146198939321120's digits is 59
• More coming soon!