31131912153703680

Names of 31131912153703680

• Cardinal: 31131912153703680 can be written as Thirty-one quadrillion, one hundred thirty-one trillion, nine hundred twelve billion, one hundred fifty-three million, seven hundred three thousand, six hundred eighty.

Scientific notation

• Scientific notation: 3.113191215370368 × 10¹⁶

Factors of 31131912153703680

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 14
• Sum of prime factors: 2303745

Divisors of 31131912153703680

• Number of divisors d(n): 432
• Complete list of divisors:
  1 2 3 4 5 6 8 9 10 11 12 15 16 18 20 22 24 30 32 33 36 40 44 45 48 55 60 64 66 72 80 88 90 96 99 110 120 128 132 144 160 165 176 180 192 198 220 240 256 264 288 320 330 352 360 384 396 440 480 495 528 576 640 660 704 720 768 792 880 960 990 1056 1152 1280 1320 1408 1440 1584 1760 1920 1980 2112 2304 2640 2816 2880 3168 3520 3840 3960 4224 5280 5760 6336 7040 7920 8448 10560 11520 12672 14080 15840 21120 25344 31680 42240 63360 112097 126720 224194 336291 448388 560485 672582 896776 1008873 1120970 1233067 1345164 1681455 1793552 2017746 2191627 2241940 2466134 2690328 3362910 3587104 3699201 4035492 4383254 4483880 4932268 5044365 5380656 6165335 6574881 6725820 7174208 7398402 8070984 8766508 8967760 9864536 10088730 10761312 10958135 11097603 12330670 13149762 13451640 14348416 14796804 16141968 17533016 17935520 18496005 19724643 19729072 20177460 21522624 21916270 22195206 24107897 24661340 26299524 26903280 28696832 29593608 32283936 32874405 35066032 35871040 36992010 39449286 39458144 40354920 43045248 43832540 44390412 48215794 49322680 52599048 53806560 55488015 59187216 64567872 65748810 70132064 71742080 72323691 73984020 78898572 78916288 80709840 86090496 87665080 88780824 96431588 98623215 98645360 105198096 107613120 110976030 118374432 120539485 129135744 131497620 140264128 143484160 144647382 147968040 157797144 157832576 161419680 175330160 177561648 192863176 197246430 197290720 210396192 215226240 216971073 221952060 236748864 241078970 258271488 262995240 280528256 289294764 295936080 315594288 315665152 322839360 350660320 355123296 361618455 385726352 394492860 394581440 420792384 430452480 433942146 443904120 473497728 482157940 525990480 561056512 578589528 591872160 631188576 645678720 701320640 710246592 723236910 771452704 788985720 789162880 841584768 867884292 887808240 946995456 964315880 1051980960 1084855365 1157179056 1183744320 1262377152 1291357440 1402641280 1420493184 1446473820 1542905408 1577971440 1578325760 1683169536 1735768584 1775616480 1928631760 2103961920 2169710730 2314358112 2367488640 2524754304 2805282560 2840986368 2892947640 3085810816 3155942880 3471537168 3551232960 3857263520 4207923840 4339421460 4628716224 4734977280 5049508608 5785895280 6171621632 6311885760 6943074336 7102465920 7714527040 8415847680 8678842920 9257432448 11571790560 12623771520 13886148672 14204931840 15429054080 17357685840 18514864896 23143581120 25247543040 27772297344 30858108160 34715371680 46287162240 55544594688 69430743360 92574324480 138861486720 245674811819 277722973440 491349623638 737024435457 982699247276 1228374059095 1474048870914 1965398494552 2211073306371 2456748118190 2702422930009 2948097741828 3685122177285 3930796989104 4422146612742 4913496236380 5404845860018 5896195483656 7370244354570 7861593978208 8107268790027 8844293225484 9826992472760 10809691720036 11055366531855 11792390967312 13512114650045 14740488709140 15723187956416 16214537580054 17688586450968 19653984945520 21619383440072 22110733063710 23584781934624 24321806370081 27024229300090 29480977418280 31446375912832 32429075160108 35377172901936 39307969891040 40536343950135 43238766880144 44221466127420 47169563869248 48643612740162 54048458600180 58961954836560 62892751825664 64858150320216 70754345803872 78615939782080 81072687900270 86477533760288 88442932254840 94339127738496 97287225480324 108096917200360 117923909673120 121609031850405 129716300640432 141508691607744 157231879564160 162145375800540 172955067520576 176885864509680 188678255476992 194574450960648 216193834400720 235847819346240 243218063700810 259432601280864 283017383215488 314463759128320 324290751601080 345910135041152 353771729019360 389148901921296 432387668801440 471695638692480 486436127401620 518865202561728 566034766430976 648581503202160 691820270082304 707543458038720 778297803842592 864775337602880 943391277384960 972872254803240 1037730405123456 1297163006404320 1415086916077440 1556595607685184 1729550675205760 1945744509606480 2075460810246912 2594326012808640 2830173832154880 3113191215370368 3459101350411520 3891489019212960 5188652025617280 6226382430740736 7782978038425920 10377304051234560 15565956076851840 31131912153703680
• Sum of all divisors σ(n): 117506381656233024
• Sum of proper divisors (its aliquot sum) s(n): 86374469502529344
• 31131912153703680 is an abundant number, because the sum of its proper divisors (86374469502529344) is greater than itself. Its abundance is 55242557348825664

Bases of 31131912153703680

• Binary: 1101110100110100100111100100101000110011010010100000000₂
• Hexadecimal: 0x6E9A4F2519A500
• Base-36: 8IJCB065VK0

Squares and roots of 31131912153703680

• 31131912153703680 squared (31131912153703680²) is 969195954345922903297141245542400
• 31131912153703680 cubed (31131912153703680³) is 30172923310422274208311454340851131988450476032000
• The square root of 31131912153703680 is 176442376.2980528439
• The cube root of 31131912153703680 is 314583.0113716863

Scales and comparisons

• 31,131,912,153,703,680 seconds is equal to 989,898,509 years, 8 weeks, 2 days, 12 hours, 48 minutes.
• To count from 1 to 31,131,912,153,703,680 would take you about two billion, nine hundred sixty-nine million, six hundred ninety-five thousand, five hundred twenty-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 31131912153703680 cubic inches would be around 26215.3 feet tall.

Recreational maths with 31131912153703680

• 31131912153703680 backwards is 08630735121913113
• The number of decimal digits it has is: 17
• The sum of 31131912153703680's digits is 54
• More coming soon!