468428526217872

Names of 468428526217872

• Cardinal: 468428526217872 can be written as Four hundred sixty-eight trillion, four hundred twenty-eight billion, five hundred twenty-six million, two hundred seventeen thousand, eight hundred seventy-two.

Scientific notation

• Scientific notation: 4.68428526217872 × 10¹⁴

Factors of 468428526217872

• Number of distinct prime factors ω(n): 4
• Total number of prime factors Ω(n): 15
• Sum of prime factors: 465

Divisors of 468428526217872

• Number of divisors d(n): 480
• Complete list of divisors:
  1 2 3 4 6 8 9 11 12 16 18 22 24 27 33 36 44 48 54 66 72 81 88 99 108 121 132 144 162 176 198 216 242 243 264 297 324 363 396 432 449 484 486 528 594 648 726 792 891 898 968 972 1089 1188 1296 1331 1347 1452 1584 1782 1796 1936 1944 2178 2376 2662 2673 2694 2904 3267 3564 3592 3888 3993 4041 4356 4752 4939 5324 5346 5388 5808 6534 7128 7184 7986 8082 8712 9801 9878 10648 10692 10776 11979 12123 13068 14256 14817 15972 16164 17424 19602 19756 21296 21384 21552 23958 24246 26136 29403 29634 31944 32328 35937 36369 39204 39512 42768 44451 47916 48492 52272 54329 58806 59268 63888 64656 71874 72738 78408 79024 88902 95832 96984 107811 108658 109107 117612 118536 133353 143748 145476 156816 162987 177804 191664 193968 201601 215622 217316 218214 235224 237072 266706 287496 290952 323433 325974 355608 400059 403202 431244 434632 436428 470448 488961 533412 574992 581904 597619 604803 646866 651948 711216 800118 806404 862488 869264 872856 977922 1066824 1195238 1200177 1209606 1293732 1303896 1466883 1600236 1612808 1724976 1745712 1792857 1814409 1955844 2133648 2217611 2390476 2400354 2419212 2587464 2607792 2933766 3200472 3225616 3585714 3628818 3911688 4400649 4435222 4780952 4800708 4838424 5174928 5378571 5443227 5867532 6400944 6652833 7171428 7257636 7823376 8801298 8870444 9561904 9601416 9676848 10757142 10886454 11735064 13201947 13305666 14342856 14515272 16135713 16329681 17602596 17740888 19202832 19958499 21514284 21772908 23470128 24393721 26403894 26611332 28685712 29030544 32271426 32659362 35205192 35481776 39916998 43028568 43545816 48407139 48787442 48989043 52807788 53222664 59875497 64542852 65318724 70410384 73181163 79833996 86057136 87091632 90518849 96814278 97574884 97978086 105615576 106445328 119750994 129085704 130637448 145221417 146362326 159667992 179626491 181037698 193628556 195149768 195956172 211231152 219543489 239501988 258171408 261274896 268330931 271556547 290442834 292724652 319335984 359252982 362075396 387257112 390299536 391912344 439086978 479003976 536661862 538879473 543113094 580885668 585449304 658630467 718505964 724150792 774514224 783824688 804992793 814669641 878173956 958007952 995707339 1073323724 1077758946 1086226188 1161771336 1170898608 1317260934 1437011928 1448301584 1609985586 1629339282 1756347912 1975891401 1991414678 2146647448 2155517892 2172452376 2323542672 2414978379 2444008923 2634521868 2874023856 2987122017 3219971172 3258678564 3512695824 3951782802 3982829356 4293294896 4311035784 4344904752 4829956758 4888017846 5269043736 5927674203 5974244034 6439942344 6517357128 7244935137 7332026769 7903565604 7965658712 8622071568 8961366051 9659913516 9776035692 10538087472 10952780729 11855348406 11948488068 12879884688 13034714256 14489870274 14664053538 15807131208 15931317424 17922732102 19319827032 19552071384 21734805411 21905561458 21996080307 23710696812 23896976136 26884098153 28979740548 29328107076 31614262416 32858342187 35845464204 38639654064 39104142768 43469610822 43811122916 43992160614 47421393624 47793952272 53768196306 57959481096 58656214152 65204416233 65716684374 71690928408 80652294459 86939221644 87622245832 87984321228 94842787248 98575026561 107536392612 115918962192 117312428304 120480588019 130408832466 131433368748 143381856816 161304588918 173878443288 175244491664 175968642456 197150053122 215072785224 240961176038 241956883377 260817664932 262866737496 295725079683 322609177836 347756886576 351937284912 361441764057 394300106244 430145570448 481922352076 483913766754 521635329864 525733474992 591450159366 645218355672 722883528114 788600212488 887175239049 963844704152 967827533508 1043270659728 1084325292171 1182900318732 1290436711344 1445767056228 1577200424976 1774350478098 1927689408304 1935655067016 2168650584342 2365800637464 2661525717147 2891534112456 3252975876513 3548700956196 3871310134032 4337301168684 4731601274928 5323051434294 5783068224912 6505951753026 7097401912392 8674602337368 9758927629539 10646102868588 13011903506052 14194803824784 17349204674736 19517855259078 21292205737176 26023807012104 29276782888617 39035710518156 42584411474352 52047614024208 58553565777234 78071421036312 117107131554468 156142842072624 234214263108936 468428526217872
• Sum of all divisors σ(n): 1498688946518400
• Sum of proper divisors (its aliquot sum) s(n): 1030260420300528
• 468428526217872 is an abundant number, because the sum of its proper divisors (1030260420300528) is greater than itself. Its abundance is 561831894082656

Bases of 468428526217872

• Binary: 1101010100000100010000011111010000110101010010000₂
• Hexadecimal: 0x1AA0883E86A90
• Base-36: 4M1L3E1L00

Squares and roots of 468428526217872

• 468428526217872 squared (468428526217872²) is 219425284174647595680812208384
• 468428526217872 cubed (468428526217872³) is 102785062480867925327905650222291879449038848
• The square root of 468428526217872 is 21643209.7023032145
• The cube root of 468428526217872 is 77663.0504759865

Scales and comparisons

• 468,428,526,217,872 seconds is equal to 14,894,578 years, 9 weeks, 5 days, 20 hours, 31 minutes, 12 seconds.
• To count from 1 to 468,428,526,217,872 would take you about thirty-seven million, two hundred thirty-six thousand, four 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 468428526217872 cubic inches would be around 6471.9 feet tall.

Recreational maths with 468428526217872

• 468428526217872 backwards is 278712625824864
• 468428526217872 is a Harshad number.
• The number of decimal digits it has is: 15
• The sum of 468428526217872's digits is 72
• More coming soon!