221318486734320144

Names of 221318486734320144

• Cardinal: 221318486734320144 can be written as Two hundred twenty-one quadrillion, three hundred eighteen trillion, four hundred eighty-six billion, seven hundred thirty-four million, three hundred twenty thousand, one hundred forty-four.

Scientific notation

• Scientific notation: 2.21318486734320144 × 10¹⁷

Factors of 221318486734320144

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 12
• Sum of prime factors: 73612

Divisors of 221318486734320144

• Number of divisors d(n): 405
• Complete list of divisors:
  1 2 3 4 6 8 9 12 13 16 18 24 26 36 39 41 48 52 72 78 82 104 117 123 144 156 164 169 208 234 246 312 328 338 369 468 492 507 533 624 656 676 738 936 984 1014 1066 1352 1476 1521 1599 1681 1872 1968 2028 2132 2704 2952 3042 3198 3362 4056 4264 4797 5043 5904 6084 6396 6724 6929 8112 8528 9594 10086 12168 12792 13448 13858 15129 19188 20172 20787 21853 24336 25584 26896 27716 30258 38376 40344 41574 43706 55432 60516 62361 65559 73553 76752 80688 83148 87412 110864 121032 124722 131118 147106 166296 174824 196677 220659 242064 249444 262236 284089 294212 332592 349648 393354 441318 498888 524472 568178 588424 661977 786708 852267 882636 956189 997776 1048944 1136356 1176848 1323954 1573416 1704534 1765272 1912378 2272712 2556801 2647908 2868567 3015673 3146832 3409068 3530544 3824756 4545424 5113602 5295816 5737134 6031346 6818136 7649512 8605701 9047019 10227204 10591632 11474268 12062692 12430457 13636272 15299024 17211402 18094038 20454408 22948536 24125384 24860914 27141057 34422804 36188076 37291371 39203749 40908816 45897072 48250768 49721828 54282114 68845608 72376152 74582742 78407498 99443656 108564228 111874113 117611247 123642593 137691216 144752304 149165484 156814996 198887312 217128456 223748226 235222494 247285186 298330968 313629992 352833741 370927779 434256912 447496452 470444988 494570372 509648737 596661936 627259984 705667482 741855558 894992904 940889976 989140744 1019297474 1112783337 1411334964 1483711116 1528946211 1607353709 1789985808 1881779952 1978281488 2038594948 2225566674 2822669928 2967422232 3057892422 3214707418 4077189896 4451133348 4586838633 4822061127 5410043809 5645339856 5934844464 6115784844 6429414836 8154379792 8902266696 9173677266 9644122254 10820087618 12231569688 12858829672 14466183381 16230131427 17804533392 18347354532 19288244508 20895598217 21640175236 24463139376 25717659344 28932366762 32460262854 36694709064 38576489016 41791196434 43280350472 48690394281 57864733524 62686794651 64920525708 70330569517 73389418128 77152978032 83582392868 86560700944 97380788562 115729467048 125373589302 129841051416 140661139034 167164785736 188060383953 194761577124 210991708551 221811796169 231458934096 250747178604 259682102832 281322278068 334329571472 376120767906 389523154248 421983417102 443623592338 501494357208 562644556136 632975125653 665435388507 752241535812 779046308496 843966834204 887247184676 914297403721 1002988714416 1125289112272 1265950251306 1330870777014 1504483071624 1687933668408 1774494369352 1828594807442 1996306165521 2531900502612 2661741554028 2742892211163 2883553350197 3008966143248 3375867336816 3548988738704 3657189614884 3992612331042 5063801005224 5323483108056 5485784422326 5767106700394 7314379229768 7985224662084 8228676633489 8650660050591 9094283642929 10127602010448 10646966216112 10971568844652 11534213400788 14628758459536 15970449324168 16457353266978 17301320101182 18188567285858 21943137689304 23068426801576 25951980151773 27282850928787 31940898648336 32914706533956 34602640202364 36377134571716 37486193552561 43886275378608 46136853603152 51903960303546 54565701857574 65829413067912 69205280404728 72754269143432 74972387105122 81848552786361 103807920607092 109131403715148 112458580657683 118225687358077 131658826135824 138410560809456 145508538286864 149944774210244 163697105572722 207615841214184 218262807430296 224917161315366 236451374716154 299889548420488 327394211145444 337375741973049 354677062074231 415231682428368 436525614860592 449834322630732 472902749432308 599779096840976 654788422290888 674751483946098 709354124148462 899668645261464 945805498864616 1064031186222693 1309576844581776 1349502967892196 1418708248296924 1536933935655001 1799337290522928 1891610997729232 2128062372445386 2699005935784392 2837416496593848 3073867871310002 4256124744890772 4610801806965003 5398011871568784 5674832993187696 6147735742620004 8512249489781544 9221603613930006 12295471485240008 13832405420895009 17024498979563088 18443207227860012 24590942970480016 27664810841790018 36886414455720024 55329621683580036 73772828911440048 110659243367160072 221318486734320144
• Sum of all divisors σ(n): 687461054330897301
• Sum of proper divisors (its aliquot sum) s(n): 466142567596577157
• 221318486734320144 is an abundant number, because the sum of its proper divisors (466142567596577157) is greater than itself. Its abundance is 244824080862257013

Bases of 221318486734320144

• Binary: 1100010010010001111111110110111000000001101011001000010000₂
• Hexadecimal: 0x31247FDB806B210
• Base-36: 1OJ6UT7BMG40

Squares and roots of 221318486734320144

• 221318486734320144 squared (221318486734320144²) is 48981872570369441557990041884180736
• 221318486734320144 cubed (221318486734320144³) is 10840593914687468985543175730946299748843325381545984
• 221318486734320144 is a perfect square number. Its square root is 470444988
• The cube root of 221318486734320144 is 604884.6504895887

Scales and comparisons

• 221,318,486,734,320,144 seconds is equal to 7,037,243,295 years, 6 weeks, 3 days, 2 minutes, 24 seconds.
• To count from 1 to 221,318,486,734,320,144 would take you about twenty-one billion, one hundred eleven million, seven hundred twenty-nine thousand, eight hundred eighty-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 221318486734320144 cubic inches would be around 50407.1 feet tall.

Recreational maths with 221318486734320144

• 221318486734320144 backwards is 441023437684813122
• The number of decimal digits it has is: 18
• The sum of 221318486734320144's digits is 63
• More coming soon!