40420829983968

Names of 40420829983968

• Cardinal: 40420829983968 can be written as Forty trillion, four hundred twenty billion, eight hundred twenty-nine million, nine hundred eighty-three thousand, nine hundred sixty-eight.

Scientific notation

• Scientific notation: 4.0420829983968 × 10¹³

Factors of 40420829983968

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 15
• Sum of prime factors: 2032

Divisors of 40420829983968

• Number of divisors d(n): 768
• Complete list of divisors:
  1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 41 42 48 49 54 56 63 72 82 84 96 98 108 112 123 126 144 147 164 168 189 196 216 224 246 252 287 288 294 328 336 343 369 378 392 432 441 492 504 574 588 656 672 686 738 756 784 861 864 882 984 1008 1029 1107 1148 1176 1312 1323 1372 1476 1512 1568 1681 1722 1764 1968 1979 2009 2016 2058 2214 2296 2352 2583 2646 2744 2952 3024 3087 3362 3444 3528 3936 3958 4018 4116 4428 4592 4704 5043 5166 5292 5488 5904 5937 6027 6048 6174 6724 6888 7056 7749 7916 8036 8232 8856 9184 9261 10086 10332 10584 10976 11767 11808 11874 12054 12348 13448 13776 13853 14063 14112 15129 15498 15832 16072 16464 17712 17811 18081 18522 20172 20664 21168 23534 23748 24108 24696 26896 27552 27706 28126 30258 30996 31664 32144 32928 35301 35424 35622 36162 37044 40344 41328 41559 42189 42336 45387 47068 47496 48216 49392 53433 53792 54243 55412 56252 60516 61992 63328 64288 68921 70602 71244 72324 74088 80688 81139 82369 82656 83118 84378 90774 94136 94992 96432 96971 98784 105903 106866 108486 110824 112504 121032 123984 124677 126567 137842 141204 142488 144648 148176 161376 162278 164738 166236 168756 181548 188272 189984 192864 193942 206763 211806 213732 216972 221648 225008 242064 243417 247107 247968 249354 253134 275684 282408 284976 289296 290913 296352 317709 324556 329476 332472 337512 363096 374031 376544 379701 387884 413526 423612 427464 433944 443296 450016 482447 484128 486834 494214 498708 506268 551368 564816 567973 569952 576583 578592 581826 620289 635418 649112 658952 664944 675024 678797 726192 730251 741321 748062 759402 775768 827052 847224 854928 867888 872739 964894 973668 988428 997416 1012536 1102736 1129632 1135946 1153166 1163652 1240578 1270836 1298224 1317904 1329888 1350048 1357594 1447341 1452384 1460502 1482642 1496124 1518804 1551536 1654104 1694448 1703919 1709856 1729749 1735776 1745478 1860867 1929788 1947336 1976856 1994832 2025072 2036391 2190753 2205472 2223963 2271892 2306332 2327304 2481156 2541672 2596448 2618217 2635808 2715188 2894682 2921004 2965284 2992248 3037608 3103072 3308208 3326699 3377129 3388896 3407838 3459498 3490956 3721734 3859576 3894672 3953712 3975811 3989664 4050144 4072782 4342023 4381506 4447926 4543784 4612664 4654608 4962312 5083344 5111757 5189247 5236434 5430376 5789364 5842008 5930568 5984496 6075216 6109173 6616416 6653398 6754258 6815676 6918996 6981912 7443468 7719152 7789344 7907424 7951622 8145564 8684046 8763012 8895852 9087568 9225328 9309216 9924624 9980097 10131387 10166688 10223514 10378494 10472868 10860752 11578728 11684016 11861136 11927433 11968992 12150432 12218346 13026069 13306796 13508516 13631352 13837992 13963824 14886936 15335271 15438304 15567741 15903244 16291128 17368092 17526024 17791704 18175136 18327519 18450656 19849248 19960194 20262774 20447028 20756988 20945736 21721504 23157456 23286893 23368032 23639903 23722272 23854866 24436692 26052138 26613592 27017032 27262704 27675984 27830677 27927648 29773872 29940291 30394161 30670542 31135482 31806488 32582256 34736184 35052048 35583408 35782299 36655038 39920388 40525548 40894056 41513976 41891472 46314912 46573786 47279806 47709732 48873384 52104276 53227184 54034064 54525408 55351968 55661354 59547744 59880582 60788322 61341084 62270964 63612976 65164512 69472368 69860679 70104096 70919709 71166816 71564598 73310076 79840776 81051096 81788112 83027952 83492031 83782944 89820873 91182483 93147572 94559612 95419464 97746768 104208552 106454368 107346897 108068128 111322708 119761164 121576644 122682168 124541928 127225952 136394659 138944736 139721358 141839418 143129196 146620152 159681552 162102192 163008251 163576224 166055904 166984062 179641746 182364966 186295144 189119224 190838928 195493536 208417104 209582037 212759127 214693794 222645416 239522328 243153288 245364336 249083856 250476093 272789318 279442716 283678836 286258392 293240304 319363104 324204384 326016502 333968124 359283492 364729932 372590288 378238448 381677856 409183977 416834208 419164074 425518254 429387588 445290832 479044656 486306576 489024753 490728672 498167712 500952186 545578636 558885432 567357672 572516784 586480608 628746111 638277381 652033004 667936248 718566984 729459864 745180576 751428279 756476896 818367954 838328148 851036508 858775176 890581664 954762613 958089312 972613152 978049506 1001904372 1091157272 1117770864 1134715344 1141057757 1145033568 1227551931 1257492222 1276554762 1304066008 1335872496 1437133968 1458919728 1467074259 1502856558 1636735908 1676656296 1702073016 1717550352 1909525226 1956099012 2003808744 2182314544 2235541728 2269430688 2282115514 2455103862 2514984444 2553109524 2608132016 2671744992 2864287839 2874267936 2917839456 2934148518 3005713116 3273471816 3353312592 3404146032 3423173271 3435100704 3682655793 3819050452 3912198024 4007617488 4364629088 4401222777 4564231028 4910207724 5029968888 5106219048 5216264032 5728575678 5868297036 6011426232 6546943632 6683338291 6706625184 6808292064 6846346542 7365311586 7638100904 7824396048 8015234976 8592863517 8802445554 9128462056 9820415448 10059937776 10212438096 10269519813 11457151356 11736594072 12022852464 13093887264 13366676582 13692693084 14730623172 15276201808 15648792096 17185727034 17604891108 18256924112 19640830896 20050014873 20119875552 20424876192 20539039626 22914302712 23473188144 24045704928 25778590551 26733353164 27385386168 29461246344 30552403616 30808559439 34371454068 35209782216 36513848224 39281661792 40100029746 41078079252 45828605424 46783368037 46946376288 51557181102 53466706328 54770772336 58922492688 60150044619 61617118878 68742908136 70419564432 80200059492 82156158504 91657210848 93566736074 103114362204 106933412656 109541544672 117844985376 120300089238 123234237756 137485816272 140350104111 140839128864 160400118984 164312317008 180450133857 187133472148 206228724408 213866825312 240600178476 246468475512 274971632544 280700208222 320800237968 328624634016 360900267714 374266944296 412457448816 421050312333 481200356952 492936951024 561400416444 641600475936 721800535428 748533888592 824914897632 842100624666 962400713904 985873902048 1122800832888 1263150936999 1443601070856 1497067777184 1684201249332 1924801427808 2245601665776 2526301873998 2887202141712 3368402498664 4491203331552 5052603747996 5774404283424 6736804997328 10105207495992 13473609994656 20210414991984 40420829983968
• Sum of all divisors σ(n): 140994120960000
• Sum of proper divisors (its aliquot sum) s(n): 100573290976032
• 40420829983968 is an abundant number, because the sum of its proper divisors (100573290976032) is greater than itself. Its abundance is 60152460992064

Bases of 40420829983968

• Binary: 1001001100001100110101001101100111010011100000₂
• Hexadecimal: 0x24C3353674E0
• Base-36: EBT2MJCO0

Squares and roots of 40420829983968

• 40420829983968 squared (40420829983968²) is 1633843496592846507137025024
• 40420829983968 cubed (40420829983968³) is 66041310196191248943702959998429134815232
• The square root of 40420829983968 is 6357737.8039651809
• The cube root of 40420829983968 is 34319.0356316141

Scales and comparisons

• 40,420,829,983,968 seconds is equal to 1,285,257 years, 18 weeks, 6 days, 8 hours, 52 minutes, 48 seconds.
• To count from 1 to 40,420,829,983,968 would take you about three million, two hundred thirteen thousand, one hundred forty-three 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 40420829983968 cubic inches would be around 2859.9 feet tall.

Recreational maths with 40420829983968

• 40420829983968 backwards is 86938992802404
• 40420829983968 is a Harshad number.
• The number of decimal digits it has is: 14
• The sum of 40420829983968's digits is 72
• More coming soon!