31896735248466432

Names of 31896735248466432

• Cardinal: 31896735248466432 can be written as Thirty-one quadrillion, eight hundred ninety-six trillion, seven hundred thirty-five billion, two hundred forty-eight million, four hundred sixty-six thousand, four hundred thirty-two.

Scientific notation

• Scientific notation: 3.1896735248466432 × 10¹⁶

Factors of 31896735248466432

• Number of distinct prime factors ω(n): 4
• Total number of prime factors Ω(n): 17
• Sum of prime factors: 655

Divisors of 31896735248466432

• Number of divisors d(n): 480
• Complete list of divisors:
  1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 127 128 144 192 216 254 256 288 381 384 432 508 512 523 576 762 768 864 1016 1046 1143 1152 1524 1536 1569 1728 2032 2092 2286 2304 3048 3138 3429 3456 4064 4184 4572 4608 4707 6096 6276 6858 6912 8128 8368 9144 9414 12192 12552 13716 13824 14121 16129 16256 16736 18288 18828 24384 25104 27432 28242 32258 32512 33472 36576 37656 48387 48768 50208 54864 56484 64516 65024 66421 66944 73152 75312 96774 97536 100416 109728 112968 129032 132842 133888 145161 146304 150624 193548 195072 199263 200832 219456 225936 258064 265684 267776 273529 290322 292608 301248 387096 398526 401664 435483 438912 451872 516128 531368 547058 580644 585216 597789 602496 774192 797052 803328 820587 870966 877824 903744 1032256 1062736 1094116 1161288 1195578 1204992 1548384 1594104 1641174 1741932 1755648 1793367 1807488 2064512 2125472 2188232 2322576 2391156 2409984 2461761 3096768 3188208 3282348 3483864 3586734 3614976 4129024 4250944 4376464 4645152 4782312 4923522 6193536 6376416 6564696 6967728 7173468 7229952 7385283 8258048 8435467 8501888 8752928 9290304 9564624 9847044 12387072 12752832 13129392 13935456 14346936 14770566 16870934 17003776 17505856 18580608 19129248 19694088 24774144 25306401 25505664 26258784 27870912 28693872 29541132 33741868 34007552 34738183 35011712 37161216 38258496 39388176 50612802 51011328 52517568 55741824 57387744 59082264 67483736 69476366 70023424 74322432 75919203 76516992 78776352 101225604 102022656 104214549 105035136 111483648 114775488 118164528 134967472 138952732 140046848 143055667 151838406 153033984 157552704 202451208 208429098 210070272 222967296 227757609 229550976 236329056 269934944 277905464 286111334 303676812 306067968 312643647 315105408 404902416 416858196 420140544 429167001 455515218 459101952 472658112 539869888 555810928 572222668 607353624 625287294 630210816 809804832 833716392 858334002 911030436 918203904 937930941 945316224 1079739776 1111621856 1144445336 1214707248 1250574588 1260421632 1287501003 1619609664 1667432784 1716668004 1822060872 1875861882 1890632448 2159479552 2223243712 2288890672 2429414496 2501149176 2575002006 3239219328 3334865568 3433336008 3644121744 3751723764 3781264896 3862503009 4318959104 4411749241 4446487424 4577781344 4858828992 5002298352 5150004012 6478438656 6669731136 6866672016 7288243488 7503447528 7725006018 8823498482 8892974848 9155562688 9717657984 10004596704 10300008024 12956877312 13235247723 13339462272 13733344032 14576486976 15006895056 15450012036 17646996964 17785949696 18168069709 18311125376 19435315968 20009193408 20600016048 26470495446 26678924544 27466688064 29152973952 30013790112 30900024072 35293993928 36336139418 36622250752 38870631936 39705743169 40018386816 41200032096 52940990892 53357849088 54504209127 54933376128 58305947904 60027580224 61800048144 70587987856 72672278836 73244501504 79411486338 80036773632 82400064192 105881981784 109008418254 109866752256 116611895808 119117229507 120055160448 123600096288 141175975712 145344557672 158822972676 160073547264 163512627381 164800128384 211763963568 218016836508 219733504512 238234459014 240110320896 247200192576 282351951424 290689115344 317645945352 327025254762 329600256768 423527927136 436033673016 476468918028 480220641792 490537882143 494400385152 564703902848 581378230688 635291890704 654050509524 659200513536 847055854272 872067346032 952937836056 981075764286 988800770304 1129407805696 1162756461376 1270583781408 1308101019048 1694111708544 1744134692064 1905875672112 1962151528572 1977601540608 2258815611392 2307344853043 2325512922752 2541167562816 2616202038096 3388223417088 3488269384128 3811751344224 3924303057144 4614689706086 4651025845504 5082335125632 5232404076192 6776446834176 6922034559129 6976538768256 7623502688448 7848606114288 9229379412172 9302051691008 10164670251264 10464808152384 13844069118258 13953077536512 15247005376896 15697212228576 18458758824344 20329340502528 20766103677387 20929616304768 27688138236516 27906155073024 30494010753792 31394424457152 36917517648688 41532207354774 41859232609536 55376276473032 60988021507584 62298311032161 62788848914304 73835035297376 83064414709548 83718465219072 110752552946064 124596622064322 125577697828608 147670070594752 166128829419096 221505105892128 249193244128644 251155395657216 295340141189504 332257658838192 443010211784256 498386488257288 590680282379008 664515317676384 886020423568512 996772976514576 1181360564758016 1329030635352768 1772040847137024 1993545953029152 2658061270705536 3544081694274048 3987091906058304 5316122541411072 7974183812116608 10632245082822144 15948367624233216 31896735248466432
• Sum of all divisors σ(n): 95348152678996800
• Sum of proper divisors (its aliquot sum) s(n): 63451417430530368
• 31896735248466432 is an abundant number, because the sum of its proper divisors (63451417430530368) is greater than itself. Its abundance is 31554682182063936

Bases of 31896735248466432

• Binary: 1110001010100011110100101100101111110101100001000000000₂
• Hexadecimal: 0x7151E965FAC200
• Base-36: 8Q2G5VTMYO0

Squares and roots of 31896735248466432

• 31896735248466432 squared (31896735248466432²) is 1017401719510760937534607830810624
• 31896735248466432 cubed (31896735248466432³) is 32451793288569246430396495062490193153415412973568
• The square root of 31896735248466432 is 178596571.2113937309
• The cube root of 31896735248466432 is 317138.3370199969

Scales and comparisons

• 31,896,735,248,466,432 seconds is equal to 1,014,217,517 years, 42 weeks, 4 days, 21 hours, 7 minutes, 12 seconds.
• To count from 1 to 31,896,735,248,466,432 would take you about three billion, forty-two million, six hundred fifty-two thousand, five hundred fifty-three 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 31896735248466432 cubic inches would be around 26428.2 feet tall.

Recreational maths with 31896735248466432

• 31896735248466432 backwards is 23466484253769813
• The number of decimal digits it has is: 17
• The sum of 31896735248466432's digits is 81
• More coming soon!