133681997106503316

Names of 133681997106503316

• Cardinal: 133681997106503316 can be written as One hundred thirty-three quadrillion, six hundred eighty-one trillion, nine hundred ninety-seven billion, one hundred six million, five hundred three thousand, three hundred sixteen.

Scientific notation

• Scientific notation: 1.33681997106503316 × 10¹⁷

Factors of 133681997106503316

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 12
• Sum of prime factors: 326

Divisors of 133681997106503316

• Number of divisors d(n): 432
• Complete list of divisors:
  1 2 3 4 6 9 12 18 36 43 86 127 129 151 172 254 258 302 381 387 453 508 516 604 762 774 906 1143 1359 1524 1548 1812 1849 2286 2718 3698 4572 5436 5461 5547 6493 7396 10922 11094 12986 16129 16383 16641 19177 19479 21844 22188 22801 25972 32258 32766 33282 38354 38958 45602 48387 49149 57531 58437 64516 65532 66564 68403 76708 77916 79507 91204 96774 98298 115062 116874 136806 145161 159014 172593 193548 196596 205209 230124 233748 234823 238521 273612 279199 290322 318028 345186 410418 469646 477042 558398 580644 690372 693547 704469 715563 820836 824611 837597 939292 954084 980443 1116796 1387094 1408938 1431126 1649222 1675194 1960886 2048383 2080641 2113407 2435479 2473833 2512791 2774188 2817876 2862252 2895727 2941329 3298444 3350388 3921772 4096766 4161282 4226814 4870958 4947666 5025582 5791454 5882658 6145149 6241923 7306437 7421499 8193532 8322564 8453628 8687181 8823987 9741916 9895332 10051164 10097389 11582908 11765316 12005557 12290298 12483846 14612874 14842998 17374362 17647974 18435447 20194778 21919311 24011114 24580596 24967692 26061543 29225748 29685996 29822521 30292167 34748724 35295948 35458273 36016671 36870894 40389556 42159049 43838622 48022228 52123086 59645042 60584334 70916546 72033342 73741788 84318098 87677244 88080469 89467563 90876501 104246172 104725597 106374819 108050013 119290084 121168668 124516261 126477147 141833092 144066684 168636196 176160938 178935126 181753002 209451194 212749638 216100026 249032522 252954294 264241407 268402689 309305833 314176791 319124457 352321876 357870252 363506004 367757329 373548783 379431441 418902388 425499276 432200052 498065044 505908588 528482814 536805378 618611666 628353582 638248914 735514658 747097566 758862882 792724221 927917499 942530373 1056965628 1073610756 1103271987 1120646349 1237223332 1256707164 1276497828 1282368403 1471029316 1494195132 1517725764 1524705739 1585448442 1812839107 1855834998 1885060746 2206543974 2241292698 2564736806 2783752497 3049411478 3170896884 3309815961 3625678214 3711669996 3770121492 3787460167 3847105209 4413087948 4482585396 4503200671 4574117217 5129473612 5354199223 5438517321 5567504994 6098822956 6619631922 7251356428 7574920334 7694210418 9006401342 9148234434 10708398446 10877034642 11135009988 11362380501 11541315627 13239263844 13300150819 13509602013 13722351651 15149840668 15388420836 15813565147 16062597669 16315551963 18012802684 18296468868 21416796892 21754069284 22724761002 23082631254 26600301638 27019204026 27444703302 31627130294 32125195338 32631103926 34087141503 39900452457 40528806039 45449522004 46165262508 46705180783 47440695441 48187793007 53200603276 54038408052 54889406604 63254260588 64250390676 65262207852 68174283006 79800904914 81057612078 93410361566 94881390882 96375586014 119701357371 136348566012 140115542349 142322086323 159601809828 162115224156 162860787181 186820723132 189762781764 192751172028 193637628853 230230566589 239402714742 280231084698 284644172646 325721574362 387275257706 420346627047 460461133178 478805429484 488582361543 560462169396 569288345292 571906485217 580912886559 651443148724 679983301321 690691699767 774550515412 840693254094 920922266356 977164723086 1143812970434 1161825773118 1359966602642 1381383399534 1465747084629 1681386508188 1715719455651 1742738659677 1954329446172 2008322773669 2039949903963 2072075099301 2287625940868 2323651546236 2719933205284 2762766799068 2931494169258 3431438911302 3485477319354 4016645547338 4079899807926 4144150198602 5147158366953 5862988338516 6024968321007 6119849711889 6862877822604 6970954638708 8033291094676 8159799615852 8288300397204 10294316733906 12049936642014 12239699423778 18074904963021 20588633467812 24099873284028 24479398847556 24591978864331 29239281956803 36149809926042 49183957728662 58478563913606 72299619852084 73775936592993 86357879267767 87717845870409 98367915457324 116957127827212 147551873185986 172715758535534 175435691740818 221327809778979 259073637803301 263153537611227 295103746371972 345431517071068 350871383481636 442655619557958 518147275606602 526307075222454 777220913409903 885311239115916 1036294551213204 1052614150444908 1554441826819806 3108883653639612 3713388808513981 7426777617027962 11140166425541943 14853555234055924 22280332851083886 33420499276625829 44560665702167772 66840998553251658 133681997106503316
• Sum of all divisors σ(n): 351034329854208000
• Sum of proper divisors (its aliquot sum) s(n): 217352332747704684
• 133681997106503316 is an abundant number, because the sum of its proper divisors (217352332747704684) is greater than itself. Its abundance is 83670335641201368

Bases of 133681997106503316

• Binary: 111011010111011110001000101101110011001011101111010010100₂
• Hexadecimal: 0x1DAEF116E65DE94
• Base-36: 10KAB9NQBWD0

Squares and roots of 133681997106503316

• 133681997106503316 squared (133681997106503316²) is 17870876350383160951347060318995856
• 133681997106503316 cubed (133681997106503316³) is 2389014440562600262290279375402999655629508454258496
• The square root of 133681997106503316 is 365625487.4957479167
• The cube root of 133681997106503316 is 511317.8745658967

Scales and comparisons

• 133,681,997,106,503,316 seconds is equal to 4,250,674,002 years, 21 weeks, 5 days, 19 hours, 48 minutes, 36 seconds.
• To count from 1 to 133,681,997,106,503,316 would take you about twelve billion, seven hundred fifty-two million, twenty-two thousand and seven 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 133681997106503316 cubic inches would be around 42609.8 feet tall.

Recreational maths with 133681997106503316

• 133681997106503316 backwards is 613305601799186331
• The number of decimal digits it has is: 18
• The sum of 133681997106503316's digits is 72
• More coming soon!