420112818216

Names of 420112818216

• Cardinal: 420112818216 can be written as Four hundred twenty billion, one hundred twelve million, eight hundred eighteen thousand, two hundred sixteen.

Scientific notation

• Scientific notation: 4.20112818216 × 10¹¹

Factors of 420112818216

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 14
• Sum of prime factors: 143

Divisors of 420112818216

• Number of divisors d(n): 1024
• Complete list of divisors:
  1 2 3 4 6 7 8 9 12 13 14 18 21 24 26 27 28 29 36 39 42 49 52 54 56 58 63 72 78 84 87 89 91 98 104 108 116 117 126 147 156 168 169 174 178 182 189 196 203 216 232 234 252 261 267 273 294 312 338 343 348 351 356 364 377 378 392 406 441 468 504 507 522 534 546 588 609 623 637 676 686 696 702 712 728 754 756 783 801 812 819 882 936 1014 1029 1044 1068 1092 1131 1157 1176 1183 1218 1246 1274 1323 1352 1372 1404 1421 1508 1512 1521 1566 1602 1624 1638 1764 1827 1869 1911 2028 2058 2088 2136 2184 2197 2262 2314 2366 2403 2436 2457 2492 2548 2581 2639 2646 2744 2808 2842 3016 3042 3087 3132 3204 3276 3393 3471 3528 3549 3654 3738 3822 4056 4116 4263 4361 4394 4459 4524 4563 4628 4732 4806 4872 4901 4914 4984 5096 5162 5278 5292 5481 5607 5684 5733 6084 6174 6264 6408 6552 6591 6786 6942 7098 7308 7476 7644 7743 7917 8099 8232 8281 8526 8722 8788 8918 9048 9126 9256 9261 9464 9612 9802 9828 9947 10179 10324 10413 10556 10584 10647 10962 11214 11368 11466 12168 12348 12789 13083 13182 13377 13572 13884 14196 14616 14703 14952 15041 15288 15379 15486 15834 16198 16562 16821 17052 17199 17444 17576 17836 18067 18252 18473 18522 19224 19604 19656 19773 19894 20358 20648 20826 21112 21294 21924 22428 22932 23229 23751 24297 24696 24843 25578 26166 26364 26754 27144 27768 28392 29406 29841 30082 30527 30758 30972 31239 31668 31941 32396 33124 33553 33642 34104 34307 34398 34888 35672 36134 36504 36946 37044 38367 39208 39249 39546 39788 40131 40716 41652 42588 43848 44109 44856 45123 45864 46137 46458 47502 48594 49686 51156 52332 52728 53508 54201 55419 56693 57967 58812 59319 59682 60164 61054 61516 61944 62478 63336 63713 63882 64792 66248 67106 67284 68614 68796 69687 71253 72268 72891 73892 74088 74529 76734 78498 79092 79576 80262 81432 83304 85176 88218 89523 90246 91581 92274 92916 95004 97188 99372 100659 102312 102921 104664 105287 107016 107653 108402 110838 113386 115934 117624 117747 118638 119364 120328 120393 122108 123032 124956 126469 127426 127764 129311 132327 134212 134568 135369 137228 137592 138411 139374 142506 144536 145782 147784 149058 153468 156996 158184 160524 162603 166257 170079 173901 176436 179046 180492 183162 184548 185832 190008 191139 194376 195533 198744 201318 205842 210574 215306 216804 218673 221676 223587 226772 231868 234871 235494 237276 238728 240149 240786 244216 249912 252938 254852 255528 258622 264654 268424 268569 270738 274456 274743 276822 278748 285012 291564 298116 301977 306936 308763 313992 315861 321048 322959 325206 332514 340158 347802 352872 358092 360984 366324 369096 379407 382278 387933 391066 396851 402636 406107 411684 415233 421148 430612 433608 436189 437346 443352 445991 447174 453544 463736 469742 470988 474552 480298 481572 487809 498771 505876 509704 510237 517244 521703 529308 537138 541476 549486 553644 557496 570024 573417 583128 586599 596232 603954 617526 631722 645918 650412 665028 680316 695604 704613 716184 720447 732648 737009 753571 758814 764556 775866 782132 793702 805272 812214 823368 824229 830466 842296 861224 872378 874692 885283 891982 894348 905931 926289 939484 941976 947583 960596 963144 968877 975618 997542 1011752 1020474 1034488 1043406 1058616 1074276 1082952 1098972 1107288 1138221 1146834 1163799 1173198 1190553 1207908 1235052 1263444 1291836 1300824 1308567 1330056 1337973 1360632 1368731 1391208 1409226 1440894 1474018 1507142 1517628 1529112 1530711 1551732 1564264 1565109 1587404 1624428 1644097 1648458 1660932 1681043 1720251 1744756 1749384 1759797 1770566 1783964 1788696 1811862 1852578 1878968 1895166 1921192 1937754 1951236 1995084 2040948 2086812 2113839 2148552 2161341 2197944 2211027 2260713 2276442 2293668 2327598 2346396 2381106 2415816 2470104 2526888 2583672 2617134 2655849 2675946 2737462 2818452 2842749 2881788 2906631 2948036 3014284 3035256 3053323 3061422 3103464 3121937 3130218 3174808 3248856 3288194 3296916 3321864 3362086 3414663 3440502 3489512 3491397 3519594 3541132 3567928 3571659 3623724 3705156 3790332 3875508 3902472 3925701 3990168 4013919 4081896 4106193 4173624 4227678 4322682 4422054 4521426 4552884 4587336 4655196 4692792 4762212 4932291 5043129 5159063 5234268 5279391 5311698 5351892 5474924 5636904 5670457 5685498 5763576 5813262 5896072 6028568 6106646 6122844 6243874 6260436 6341517 6484023 6576388 6593832 6633081 6724172 6782139 6829326 6881004 6982794 7039188 7082264 7143318 7247448 7410312 7580664 7751016 7851402 7967547 8027838 8212386 8455356 8645364 8844108 9042852 9105768 9159969 9310392 9365811 9524424 9581117 9864582 10086258 10318126 10468536 10558782 10623396 10703784 10714977 10949848 11340914 11370996 11508679 11626524 11777103 12041757 12213292 12245688 12318579 12487748 12520872 12683034 12968046 13152776 13266162 13448344 13564278 13658652 13762008 13965588 14078376 14286636 14796873 15129387 15477189 15702804 15935094 16055676 16424772 16910712 17011371 17290728 17688216 18085704 18319938 18731622 19162234 19729164 19899243 20172516 20346417 20636252 21117564 21246792 21373261 21429954 21853559 22681828 22741992 23017358 23253048 23554206 23902641 24083514 24426584 24637158 24975496 25366068 25936092 26532324 27128556 27317304 27479907 27931176 28097433 28573272 28743351 29593746 30258774 30954378 31405608 31870188 32111352 32849544 34022742 34526037 36639876 36955737 37463244 38324468 39458328 39693199 39798486 40345032 40692834 41272504 42235128 42746522 42859908 43707118 44390619 45363656 45388161 46034716 46431567 47108412 47805282 48167028 49274316 50732136 51034113 51872184 53064648 54257112 54959814 56194866 57486702 59187492 60517548 61908756 63740376 64119783 65560677 67067819 68045484 69052074 73279752 73911474 74926488 76648936 79386398 79596972 81385668 82439721 84292299 85493044 85719816 86230053 87414236 88781238 90776322 92069432 92863134 94216824 95610564 96334056 98548632 102068226 103578111 109919628 112389732 114973404 118374984 119079597 121035096 123817512 128239566 131121354 134135638 136090968 138104148 139294701 147822948 149612827 153102339 158772796 159193944 162771336 164879442 168584598 170986088 172460106 174828472 177562476 181552644 185726268 191221128 192359349 196682031 201203457 204136452 207156222 219839256 224779464 229946808 238159194 256479132 258690159 262242708 268271276 276208296 277852393 278589402 295645896 299225654 306204678 310734333 317545592 329758884 337169196 344920212 355124952 357238791 363105288 371452536 384718698 393364062 402406914 408272904 414312444 448838481 476318388 512958264 517380318 524485416 536542552 555704786 557178804 577078047 590046093 598451308 603610371 612409356 621468666 659517768 674338392 689840424 714477582 769437396 786728124 804813828 828624888 833557179 897676962 952636776 1034760636 1071716373 1111409572 1114357608 1154156094 1180092186 1196902616 1207220742 1224818712 1242937332 1346515443 1428955164 1538874792 1573456248 1609627656 1667114358 1795353924 1810831113 1944966751 2069521272 2143432746 2222819144 2308312188 2360184372 2414441484 2485874664 2500671537 2693030886 2857910328 3334228716 3590707848 3621662226 3889933502 4039546329 4286865492 4616624376 4720368744 4828882968 5001343074 5386061772 5834900253 6668457432 7243324452 7502014611 7779867004 8079092658 8573730984 10002686148 10772123544 11669800506 14486648904 15004029222 15559734008 16158185316 17504700759 20005372296 23339601012 30008058444 32316370632 35009401518 46679202024 52514102277 60016116888 70018803036 105028204554 140037606072 210056409108 420112818216
• Sum of all divisors σ(n): 1542240000000
• Sum of proper divisors (its aliquot sum) s(n): 1122127181784
• 420112818216 is an abundant number, because the sum of its proper divisors (1122127181784) is greater than itself. Its abundance is 702014363568

Bases of 420112818216

• Binary: 110000111010000101011001110000000101000₂
• Hexadecimal: 0x61D0ACE028
• Base-36: 5CZWBP60

Squares and roots of 420112818216

• 420112818216 squared (420112818216²) is 176494780029389861422656
• 420112818216 cubed (420112818216³) is 74147719438559969989249711271901696
• The square root of 420112818216 is 648161.1051397639
• The cube root of 420112818216 is 7489.5428678411

Scales and comparisons

• 420,112,818,216 seconds is equal to 13,358 years, 14 weeks, 6 days, 21 hours, 3 minutes, 36 seconds.
• To count from 1 to 420,112,818,216 would take you about twenty-six thousand, seven hundred sixteen 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 420112818216 cubic inches would be around 624.1 feet tall.

Recreational maths with 420112818216

• 420112818216 backwards is 612818211024
• 420112818216 is a Harshad number.
• The number of decimal digits it has is: 12
• The sum of 420112818216's digits is 36
• More coming soon!