428201424768

Names of 428201424768

• Cardinal: 428201424768 can be written as Four hundred twenty-eight billion, two hundred one million, four hundred twenty-four thousand, seven hundred sixty-eight.

Scientific notation

• Scientific notation: 4.28201424768 × 10¹¹

Factors of 428201424768

• Number of distinct prime factors ω(n): 7
• Total number of prime factors Ω(n): 13
• Sum of prime factors: 734

Divisors of 428201424768

• Number of divisors d(n): 512
• Complete list of divisors:
  1 2 3 4 6 8 12 13 16 17 24 26 32 34 39 48 51 52 61 64 68 78 96 102 104 122 128 136 156 181 183 192 204 208 221 244 272 312 362 366 384 408 416 442 457 488 543 544 624 663 724 732 793 816 832 884 914 976 1037 1086 1088 1248 1326 1371 1448 1464 1586 1632 1664 1768 1828 1952 2074 2172 2176 2353 2379 2496 2652 2742 2896 2928 3077 3111 3172 3264 3536 3656 3904 4148 4344 4706 4758 4992 5304 5484 5792 5856 5941 6154 6222 6344 6528 7059 7072 7312 7769 7808 8296 8688 9231 9412 9516 10608 10968 11041 11584 11712 11882 12308 12444 12688 13481 14118 14144 14624 15538 16592 17376 17823 18462 18824 19032 21216 21936 22082 23168 23307 23424 23764 24616 24888 25376 26962 27877 28236 28288 29248 31076 33123 33184 34752 35646 36924 37648 38064 40001 40443 42432 43872 44164 46614 47528 49232 49776 50752 53924 55754 56472 58496 62152 66246 66368 69504 71292 73848 75296 76128 80002 80886 82717 83631 84864 87744 88328 93228 95056 98464 99552 100997 101504 107848 111508 112944 120003 124304 132492 132736 142584 143533 147696 150592 152256 160004 161772 165434 167262 175488 176656 186456 187697 190112 196928 199104 201994 215696 223016 225888 240006 248151 248608 264984 285168 287066 295392 301184 302991 304512 320008 323544 330868 334524 353312 362401 372912 375394 380224 393856 398208 403988 430599 431392 446032 451776 473909 480012 496302 497216 529968 563091 570336 574132 590784 605982 640016 647088 661736 669048 706624 724802 745824 750788 760448 807976 861198 862784 892064 903552 947818 960024 992604 994432 1059936 1075321 1087203 1126182 1140672 1148264 1181568 1211964 1280032 1294176 1323472 1338096 1406189 1413248 1421727 1449604 1491648 1501576 1615952 1722396 1725568 1784128 1895636 1920048 1985208 2119872 2150642 2174406 2252364 2281344 2296528 2423928 2440061 2560064 2588352 2646944 2676192 2812378 2843454 2899208 2983296 3003152 3225963 3231904 3444792 3568256 3791272 3840096 3970416 4218567 4239744 4301284 4348812 4504728 4593056 4847856 4880122 5045737 5120128 5176704 5293888 5352384 5624756 5686908 5798416 6006304 6160817 6451926 6463808 6889584 7320183 7582544 7680192 7940832 8437134 8602568 8697624 9009456 9186112 9695712 9760244 10091474 10587776 10704768 11249512 11373816 11596832 12012608 12321634 12903852 12927616 13779168 14640366 15137211 15165088 15360384 15881664 16874268 17205136 17395248 18018912 18280457 18372224 18482451 19391424 19520488 20182948 22499024 22747632 23193664 24025216 24643268 25807704 27558336 29280732 30274422 30330176 31763328 33748536 34410272 34790496 36037824 36560914 36964902 38782848 39040976 40365896 44998048 45495264 46387328 49286536 51615408 54841371 55116672 58561464 60548844 60660352 65594581 67497072 68820544 69580992 72075648 73121828 73929804 78081952 80731792 85777529 89996096 90990528 98573072 103230816 109682742 117122928 121097688 131189162 134994144 137641088 139161984 146243656 147859608 156163904 161463584 171555058 179992192 181981056 196783743 197146144 206461632 219365484 234245856 242195376 257332587 262378324 269988288 292487312 295719216 312327808 322927168 343110116 393567486 394292288 412923264 438730968 468491712 484390752 514665174 524756648 539976576 584974624 591438432 645854336 686220232 787134972 788584576 877461936 936983424 968781504 1029330348 1049513296 1115107877 1169949248 1182876864 1372440464 1574269944 1754923872 1937563008 2058660696 2099026592 2230215754 2339898496 2365753728 2744880928 3148539888 3345323631 3509847744 4117321392 4198053184 4460431508 5489761856 6297079776 6690647262 7019695488 8234642784 8396106368 8920863016 10979523712 12594159552 13381294524 16469285568 17841726032 25188319104 26762589048 32938571136 35683452064 53525178096 71366904128 107050356192 142733808256 214100712384 428201424768
• Sum of all divisors σ(n): 1328401226880
• Sum of proper divisors (its aliquot sum) s(n): 900199802112
• 428201424768 is an abundant number, because the sum of its proper divisors (900199802112) is greater than itself. Its abundance is 471998377344

Bases of 428201424768

• Binary: 110001110110010110010110011011110000000₂
• Hexadecimal: 0x63B2CB3780
• Base-36: 5GPO2LXC

Squares and roots of 428201424768

• 428201424768 squared (428201424768²) is 183356460173345163853824
• 428201424768 cubed (428201424768³) is 78513497486643447418849850485112832
• The square root of 428201424768 is 654371.0146147977
• The cube root of 428201424768 is 7537.3040710943

Scales and comparisons

• 428,201,424,768 seconds is equal to 13,615 years, 25 weeks, 12 minutes, 48 seconds.
• To count from 1 to 428,201,424,768 would take you about twenty-seven thousand, two hundred thirty 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 428201424768 cubic inches would be around 628.1 feet tall.

Recreational maths with 428201424768

• 428201424768 backwards is 867424102824
• 428201424768 is a Harshad number.
• The number of decimal digits it has is: 12
• The sum of 428201424768's digits is 48
• More coming soon!