13681188039492072

Names of 13681188039492072

• Cardinal: 13681188039492072 can be written as Thirteen quadrillion, six hundred eighty-one trillion, one hundred eighty-eight billion, thirty-nine million, four hundred ninety-two thousand and seventy-two.

Scientific notation

• Scientific notation: 1.3681188039492072 × 10¹⁶

Factors of 13681188039492072

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 15
• Sum of prime factors: 12694

Divisors of 13681188039492072

• Number of divisors d(n): 432
• Complete list of divisors:
  1 2 3 4 6 8 9 11 12 18 22 24 27 33 36 44 54 66 72 81 88 99 108 132 151 162 198 216 243 264 297 302 324 396 453 486 594 604 648 729 792 891 906 972 1188 1208 1359 1458 1661 1782 1812 1944 2187 2376 2673 2718 2916 3322 3564 3624 4077 4374 4983 5346 5436 5832 6561 6644 7128 8019 8154 8748 9966 10692 10872 12231 12527 13122 13288 14949 16038 16308 17496 19932 21384 24057 24462 25054 26244 29898 32076 32616 36693 37581 39864 44847 48114 48924 50108 52488 59796 64152 72171 73386 75162 89694 96228 97848 100216 110079 112743 119592 134541 137797 144342 146772 150324 179388 192456 220158 225486 269082 275594 288684 293544 300648 330237 338229 358776 403623 413391 440316 450972 538164 551188 577368 660474 676458 807246 826782 880632 901944 990711 1014687 1076328 1102376 1210869 1240173 1320948 1352916 1614492 1653564 1891577 1981422 2029374 2421738 2480346 2641896 2705832 3044061 3228984 3307128 3632607 3720519 3783154 3962844 4058748 4843476 4960692 5674731 6088122 7265214 7441038 7566308 7925688 8117496 9132183 9686952 9921384 10897821 11161557 11349462 12176244 14530428 14882076 15132616 17024193 18264366 20807347 21795642 22323114 22698924 24352488 27396549 29060856 29764152 33484671 34048386 36528732 41614694 43591284 44646228 45397848 51072579 54793098 62422041 66969342 68096772 73057464 82189647 83229388 87182568 89292456 100454013 102145158 109586196 124844082 133938684 136193544 153217737 156925729 164379294 166458776 187266123 200908026 204290316 219172392 249688164 267877368 301362039 306435474 313851458 328758588 374532246 401816052 408580632 459653211 470777187 499376328 561798369 602724078 612870948 627702916 657517176 749064492 803632104 904086117 919306422 941554374 1123596738 1205448156 1225741896 1255405832 1378959633 1412331561 1498128984 1685395107 1726183019 1808172234 1838612844 1883108748 2247193476 2410896312 2757919266 2824663122 3370790214 3452366038 3616344468 3677225688 3766217496 4136878899 4236994683 4494386952 5056185321 5178549057 5515838532 5649326244 6741580428 6904732076 7232688936 8273757798 8473989366 10112370642 10357098114 11031677064 11298652488 12410636697 12710984049 13483160856 13809464152 15168555963 15535647171 16547515596 16947978732 20224741284 20714196228 23695785079 24821273394 25421968098 30337111926 31071294342 33095031192 33895957464 38132952147 40449482568 41428392456 45505667889 46606941513 47391570158 49642546788 50843936196 60674223852 62142588684 71087355237 76265904294 91011335778 93213883026 94783140316 99285093576 101687872392 114398856441 121348447704 124285177368 136517003667 139820824539 142174710474 152531808588 182022671556 186427766052 189566280632 213262065711 228797712882 260653635869 273034007334 279641649078 284349420948 305063617176 343196569323 364045343112 372855532104 419462473617 426524131422 457595425764 521307271738 546068014668 559283298156 568698841896 639786197133 686393138646 781960907607 838924947234 853048262844 915190851528 1029589707969 1042614543476 1092136029336 1118566596312 1258387420851 1279572394266 1372786277292 1563921815214 1677849894468 1706096525688 1919358591399 2059179415938 2085229086952 2345882722821 2516774841702 2559144788532 2745572554584 3127843630428 3355699788936 3775162262553 3838717182798 4118358831876 4691765445642 5033549683404 5118289577064 5758075774197 6255687260856 7037648168463 7550324525106 7677434365596 8236717663752 9383530891284 10067099366808 11325486787659 11516151548394 14075296336926 15100649050212 15354868731192 17274227322591 18767061782568 21112944505389 22650973575318 23032303096788 28150592673852 30201298100424 34548454645182 42225889010778 45301947150636 46064606193576 51822681967773 56301185347704 63338833516167 69096909290364 84451778021556 90603894301272 103645363935546 126677667032334 138193818580728 155468045903319 168903556043112 190016500548501 207290727871092 253355334064668 310936091806638 380033001097002 414581455742184 506710668129336 570049501645503 621872183613276 760066002194004 1140099003291006 1243744367226552 1520132004388008 1710148504936509 2280198006582012 3420297009873018 4560396013164024 6840594019746036 13681188039492072
• Sum of all divisors σ(n): 42255588032068320
• Sum of proper divisors (its aliquot sum) s(n): 28574399992576248
• 13681188039492072 is an abundant number, because the sum of its proper divisors (28574399992576248) is greater than itself. Its abundance is 14893211953084176

Bases of 13681188039492072

• Binary: 110000100110101111011111010001001100110000000111101000₂
• Hexadecimal: 0x309AF7D13301E8
• Base-36: 3QPKR0OWMI0

Squares and roots of 13681188039492072

• 13681188039492072 squared (13681188039492072²) is 187174906171940924642695750853184
• 13681188039492072 cubed (13681188039492072³) is 2560775087612608986066088769959485569380003957248
• The square root of 13681188039492072 is 116966610.7891139675
• The cube root of 13681188039492072 is 239170.6794771681

Scales and comparisons

• 13,681,188,039,492,072 seconds is equal to 435,019,460 years, 50 weeks, 10 hours, 1 minute, 12 seconds.
• To count from 1 to 13,681,188,039,492,072 would take you about one billion, three hundred five million, fifty-eight thousand, three hundred eighty-two 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 13681188039492072 cubic inches would be around 19930.9 feet tall.

Recreational maths with 13681188039492072

• 13681188039492072 backwards is 27029493088118631
• 13681188039492072 is a Harshad number.
• The number of decimal digits it has is: 17
• The sum of 13681188039492072's digits is 72
• More coming soon!