428221328373972

Names of 428221328373972

• Cardinal: 428221328373972 can be written as Four hundred twenty-eight trillion, two hundred twenty-one billion, three hundred twenty-eight million, three hundred seventy-three thousand, nine hundred seventy-two.

Scientific notation

• Scientific notation: 4.28221328373972 × 10¹⁴

Factors of 428221328373972

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 11
• Sum of prime factors: 1637

Divisors of 428221328373972

• Number of divisors d(n): 432
• Complete list of divisors:
  1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 59 63 73 84 108 118 126 146 177 189 219 236 252 292 354 378 413 438 511 531 657 708 756 826 876 1022 1062 1239 1314 1493 1533 1593 1652 1971 2044 2124 2478 2628 2986 3066 3186 3481 3717 3942 4307 4479 4599 4956 5972 6132 6372 6962 7434 7884 8614 8958 9198 10443 10451 11151 12921 13437 13797 13924 14868 17228 17916 18396 20886 20902 22302 24367 25842 26874 27594 30149 31329 31353 38763 40311 41772 41804 44604 48734 51684 53748 55188 60298 62658 62706 73101 77526 80622 88087 90447 93987 94059 97468 108989 116289 120596 125316 125412 146202 155052 161244 176174 180894 187974 188118 217978 219303 232578 254113 264261 271341 282177 292404 326967 352348 361788 375948 376236 435956 438606 465156 508226 528522 542682 564354 616609 653934 657909 762339 762923 792783 814023 877212 980901 1016452 1057044 1085364 1128708 1233218 1307868 1315818 1524678 1525846 1585566 1628046 1778791 1849827 1961802 2229049 2287017 2288769 2378349 2466436 2631636 2942703 3049356 3051692 3171132 3256092 3557582 3699654 3923604 4458098 4574034 4577538 4756698 5197133 5336373 5549481 5885406 6430351 6687147 6861051 6866307 7115164 7399308 8916196 9148068 9155076 9513396 10394266 10672746 11098962 11770812 12860702 13374294 13722102 13732614 15591399 15603343 16009119 16648443 19291053 20061441 20598921 20788532 21345492 22197924 25721404 26748588 27444204 27465228 31182798 31206686 32018238 33296886 36379931 38582106 40122882 41197842 45012457 46774197 46810029 48027357 57873159 60184323 62365596 62413372 64036476 66593772 72759862 77164212 80245764 82395684 90024914 93548394 93620058 96054714 109139793 115746318 120368646 131513891 135037371 140322591 140430087 145519724 162720577 173619477 180049828 187096788 187240116 192109428 218279586 231492636 240737292 263027782 270074742 280645182 280860174 325441154 327419379 347238954 379390709 394541673 405112113 421290261 436559172 488161731 526055564 540149484 561290364 561720348 650882308 654838758 694477908 758781418 789083346 810224226 842580522 920597237 976323462 982258137 1138172127 1139044039 1183625019 1215336339 1309677516 1464485193 1517562836 1578166692 1620448452 1685161044 1841194474 1952646924 1964516274 2276344254 2278088078 2367250038 2430672678 2655734963 2761791711 2928970386 3414516381 3417132117 3550875057 3682388948 3929032548 4393455579 4552688508 4556176156 4734500076 4861345356 5311469926 5523583422 5857940772 6829032762 6834264234 7101750114 7759319569 7967204889 8285375133 8786911158 9600514043 10243549143 10251396351 10622939852 11047166844 13658065524 13668528468 14203500228 15518639138 15934409778 16570750266 17573822316 19201028086 20487098286 20502792702 23277958707 23901614667 24856125399 28801542129 30754189053 31037278276 31868819556 33141500532 38402056172 40974196572 41005585404 46555917414 47803229334 49712250798 54315236983 57603084258 61508378106 67203598301 69833876121 71704844001 86404626387 93111834828 95606458668 99424501596 108630473966 115206168516 123016756212 134407196602 139667752242 143409688002 162945710949 172809252774 201610794903 209501628363 217260947932 259213879161 268814393204 279335504484 286819376004 325891421898 345618505548 403221589806 419003256726 488837132847 518427758322 566430328537 604832384709 651782843796 806443179612 838006513452 977674265694 1036855516644 1132860657074 1209664769418 1466511398541 1699290985611 1814497154127 1955348531388 2265721314148 2419329538836 2933022797082 3398581971222 3628994308254 3965012299759 5097872956833 5866045594164 6797163942444 7257988616508 7930024599518 10195745913666 11895036899277 15293618870499 15860049199036 20391491827332 23790073798554 30587237740998 35685110697831 47580147597108 61174475481996 71370221395662 107055332093493 142740442791324 214110664186986 428221328373972
• Sum of all divisors σ(n): 1309230953994880
• Sum of proper divisors (its aliquot sum) s(n): 881009625620908
• 428221328373972 is an abundant number, because the sum of its proper divisors (881009625620908) is greater than itself. Its abundance is 452788297246936

Bases of 428221328373972

• Binary: 1100001010111011100001100001010011011100011010100₂
• Hexadecimal: 0x185770C29B8D4
• Base-36: 47SI5UKEL0

Squares and roots of 428221328373972

• 428221328373972 squared (428221328373972²) is 183373506074369157089487056784
• 428221328373972 cubed (428221328373972³) is 78524446359758984024744744709925542751626048
• The square root of 428221328373972 is 20693509.3295934703
• The cube root of 428221328373972 is 75374.2085196537

Scales and comparisons

• 428,221,328,373,972 seconds is equal to 13,616,113 years, 34 weeks, 4 days, 16 hours, 46 minutes, 12 seconds.
• To count from 1 to 428,221,328,373,972 would take you about thirty-four million, forty thousand, two hundred eighty-four 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 428221328373972 cubic inches would be around 6281.2 feet tall.

Recreational maths with 428221328373972

• 428221328373972 backwards is 279373823122824
• 428221328373972 is a Harshad number.
• The number of decimal digits it has is: 15
• The sum of 428221328373972's digits is 63
• More coming soon!