45948435497328

Names of 45948435497328

• Cardinal: 45948435497328 can be written as Forty-five trillion, nine hundred forty-eight billion, four hundred thirty-five million, four hundred ninety-seven thousand, three hundred twenty-eight.

Scientific notation

• Scientific notation: 4.5948435497328 × 10¹³

Factors of 45948435497328

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 14
• Sum of prime factors: 165

Divisors of 45948435497328

• Number of divisors d(n): 720
• Complete list of divisors:
  1 2 3 4 6 7 8 12 13 14 16 21 24 26 28 31 39 42 48 52 56 62 78 84 91 93 104 109 112 124 156 168 169 182 186 208 217 218 248 273 312 327 336 338 364 372 403 434 436 496 507 546 624 651 654 676 728 744 763 806 868 872 1014 1092 1183 1209 1302 1308 1352 1417 1456 1488 1526 1612 1736 1744 2028 2184 2197 2289 2366 2418 2604 2616 2704 2821 2834 3052 3224 3379 3472 3549 4056 4251 4368 4394 4578 4732 4836 5208 5232 5239 5642 5668 6104 6448 6591 6758 7098 8112 8463 8502 8788 9156 9464 9672 9919 10137 10416 10478 11284 11336 11881 12208 13182 13516 14196 15379 15717 16926 17004 17576 18312 18421 18928 19344 19838 20274 20956 22568 22672 23653 23762 26364 27032 28392 28561 29757 30758 31434 33852 34008 35152 35643 36624 36673 36842 39676 40548 41912 43927 45136 46137 47306 47524 52728 54064 55263 56784 57122 59514 61516 62868 67704 68016 68107 70959 71286 73346 73684 79352 81096 83167 83824 85683 87854 92274 94612 95048 105456 110019 110526 114244 119028 123032 125736 128947 131781 135408 136214 141918 142572 146692 147368 154453 158704 162192 166334 171366 175708 184548 189224 190096 199927 204321 220038 221052 228488 238056 239473 246064 249501 251472 257894 263562 272428 283836 285144 293384 294736 307489 308906 332668 342732 351416 368311 369096 371293 378448 386841 399854 408642 440076 442104 456976 463359 476112 476749 478946 499002 515788 527124 544856 567672 570288 571051 586768 599781 614978 617812 665336 685464 702832 718419 736622 738192 742586 773682 799708 817284 880152 884208 885391 922467 926718 953498 957892 998004 1031576 1054248 1081171 1089712 1104933 1113879 1135344 1142102 1199562 1229956 1235624 1330672 1370928 1430247 1436838 1473244 1485172 1547364 1599416 1634568 1676311 1713153 1760304 1770782 1844934 1853436 1906996 1915784 1996008 2007889 2063152 2108496 2162342 2209866 2227758 2284204 2399124 2459912 2471248 2578177 2599051 2656173 2860494 2873676 2946488 2970344 3094728 3113149 3198832 3243513 3269136 3352622 3426306 3541564 3689868 3706872 3813992 3831568 3992016 3997357 4015778 4324684 4419732 4455516 4568408 4788043 4798248 4919824 5028933 5156354 5198102 5312346 5720988 5747352 5892976 5940688 6023667 6189456 6197737 6226298 6487026 6705244 6852612 7083128 7379736 7413744 7423663 7627984 7734531 7797153 7994714 8031556 8649368 8839464 8911032 9136816 9339447 9576086 9596496 10057866 10312708 10396204 10624692 11441976 11494704 11510083 11992071 12047334 12395474 12452596 12974052 13410488 13705224 14055223 14166256 14364129 14759472 14847326 15469062 15594306 15989428 16063112 17298736 17678928 17822064 18593211 18678894 19152172 20115732 20625416 20792408 21249384 21792043 22270989 22883952 23020166 23984142 24094668 24790948 24905192 25948104 26102557 26820976 27410448 28110446 28728258 29694652 30938124 31188612 31978856 32126224 33516301 34530249 37186422 37357788 38304344 40231464 40470937 41250832 41584816 42165669 42498768 43584086 44541978 46040332 47968284 48189336 49581896 49810384 51896208 51965641 52205114 56220892 57456516 59389304 61876248 62244559 62377224 63957712 65376129 67032602 69060498 74372844 74715576 76608688 78307671 80462928 80570581 80941874 84331338 87168172 89083956 92080664 95936568 96378672 96507619 99163792 100548903 103931282 104410228 112441784 114913032 118778608 121412811 123752496 124489118 124754448 130752258 134065204 138120996 148745688 149431152 155896923 156615342 161141162 161883748 168662676 174336344 178167912 182717899 184161328 186733677 191873136 193015238 201097806 207862564 208820456 224883568 229826064 241711743 242825622 248978236 261504516 268130408 276241992 283296559 289522857 297491376 311793846 313230684 322282324 323767496 337325352 339333241 348672688 356335824 365435798 373467354 386030476 402195612 415725128 417640912 435711913 483423486 485651244 497956472 523009032 536260816 548153697 552483984 566593118 579045714 623587692 626461368 644564648 647534992 674650704 675553333 678666482 730871596 746934708 772060952 804391224 809179267 831450256 849889677 871423826 966846972 971302488 995912944 1017999723 1046018064 1096307394 1133186236 1158091428 1247175384 1252922736 1254599047 1289129296 1307135739 1351106666 1357332964 1461743192 1493869416 1544121904 1608782448 1618358534 1699779354 1742847652 1933693944 1942604976 2026659999 2035999446 2192614788 2266372472 2316182856 2375332687 2427537801 2494350768 2509198094 2614271478 2702213332 2714665928 2923486384 2987738832 3236717068 3399558708 3485695304 3763797141 3867387888 4053319998 4071998892 4385229576 4411332133 4532744944 4632365712 4750665374 4855075602 5018396188 5228542956 5404426664 5429331856 5664254869 6473434136 6799117416 6971390608 7125998061 7527594282 8106639996 8143997784 8770459152 8782193329 8822664266 9501330748 9710151204 10036792376 10457085912 10519330471 10808853328 11328509738 12946868272 13233996399 13598234832 14251996122 15055188564 16213279992 16287995568 16992764607 17564386658 17645328532 19002661496 19420302408 20073584752 20914171824 21038660942 22657019476 26346579987 26467992798 28503992244 30110377128 30879324931 31557991413 32426559984 33985529214 35128773316 35290657064 38005322992 38840604816 42077321884 45314038952 52693159974 52935985596 57007984488 60220754256 61758649862 63115982826 67971058428 70257546632 70581314128 73635313297 84154643768 90628077904 92637974793 105386319948 105871971192 114015968976 123517299724 126231965652 135942116856 136751296123 140515093264 147270626594 168309287536 185275949586 210772639896 211743942384 220905939891 247034599448 252463931304 271884233712 273502592246 294541253188 370551899172 410253888369 421545279792 441811879782 494069198896 504927862608 547005184492 589082506376 741103798344 820507776738 883623759564 957259072861 1094010368984 1178165012752 1482207596688 1641015553476 1767247519128 1914518145722 2188020737968 2871777218583 3282031106952 3534495038256 3829036291444 5743554437166 6564062213904 7658072582888 11487108874332 15316145165776 22974217748664 45948435497328
• Sum of all divisors σ(n): 153107276507136
• Sum of proper divisors (its aliquot sum) s(n): 107158841009808
• 45948435497328 is an abundant number, because the sum of its proper divisors (107158841009808) is greater than itself. Its abundance is 61210405512480

Bases of 45948435497328

• Binary: 1010011100101000110100001011010000000101110000₂
• Hexadecimal: 0x29CA342D0170
• Base-36: GACF453LC

Squares and roots of 45948435497328

• 45948435497328 squared (45948435497328²) is 2111258724652111810695139584
• 45948435497328 cubed (45948435497328³) is 97009035327848536160243388580743419031552
• The square root of 45948435497328 is 6778527.5316493331
• The cube root of 45948435497328 is 35817.0854376613

Scales and comparisons

• 45,948,435,497,328 seconds is equal to 1,461,018 years, 6 weeks, 2 days, 48 minutes, 48 seconds.
• To count from 1 to 45,948,435,497,328 would take you about three million, six hundred fifty-two thousand, five hundred forty-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 45948435497328 cubic inches would be around 2984.8 feet tall.

Recreational maths with 45948435497328

• 45948435497328 backwards is 82379453484954
• The number of decimal digits it has is: 14
• The sum of 45948435497328's digits is 75
• More coming soon!