131220398976
131,220,398,976 is an even composite number composed of seven prime numbers multiplied together.
What does the number 131220398976 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 512 divisors.
131220398976 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of five hundred twelve divisors.
Prime factorization of 131220398976:
27 × 3 × 29 × 31 × 41 × 73 × 127
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 29 × 31 × 41 × 73 × 127)See below for interesting mathematical facts about the number 131220398976 from the Numbermatics database.
Names of 131220398976
- Cardinal: 131220398976 can be written as One hundred thirty-one billion, two hundred twenty million, three hundred ninety-eight thousand, nine hundred seventy-six.
Scientific notation
- Scientific notation: 1.31220398976 × 1011
Factors of 131220398976
Divisors of 131220398976
- Number of divisors d(n): 512
-
Complete list of divisors:
1 2 3 4 6 8 12 16 24 29 31 32 41 48 58 62 64 73 82 87 93 96 116 123 124 127 128 146 164 174 186 192 219 232 246 248 254 292 328 348 372 381 384 438 464 492 496 508 584 656 696 744 762 876 899 928 984 992 1016 1168 1189 1271 1312 1392 1488 1524 1752 1798 1856 1968 1984 2032 2117 2263 2336 2378 2542 2624 2697 2784 2976 2993 3048 3504 3567 3596 3683 3712 3813 3936 3937 3968 4064 4234 4526 4672 4756 5084 5207 5248 5394 5568 5952 5986 6096 6351 6789 7008 7134 7192 7366 7626 7872 7874 8128 8468 8979 9052 9271 9344 9512 10168 10414 10788 11049 11136 11811 11904 11972 12192 12702 13578 14016 14268 14384 14732 15252 15621 15744 15748 16256 16936 17958 18104 18542 19024 20336 20828 21576 22098 23622 23944 24384 25404 27156 27813 28032 28536 28768 29464 30504 31242 31496 33872 35916 36208 36859 37084 38048 40672 41656 43152 44196 47244 47888 48768 50808 54312 55626 57072 57536 58928 61008 62484 62992 65627 67744 71832 72416 73718 74168 76096 81344 83312 86304 86797 88392 92783 94488 95776 101616 108624 110577 111252 114144 114173 115072 117856 122016 124968 125984 131254 135488 143664 144832 147436 148336 151003 152192 161417 162688 166624 172608 173594 176784 185566 188976 191552 196881 203232 217248 221154 222504 228288 228346 235712 244032 249936 251968 260391 262508 268859 270976 278349 287328 287401 289664 294872 296672 302006 322834 333248 342519 345216 347188 353568 371132 377952 380111 383104 393762 406464 434496 442308 445008 453009 456576 456692 471424 484251 488064 499872 503936 520782 525016 537718 556698 574656 574802 589744 593344 604012 645668 666496 685038 694376 707136 742264 755904 760222 787524 806577 812928 862203 868992 884616 890016 906018 913384 968502 999744 1041564 1050032 1075436 1113396 1140333 1149312 1149604 1179488 1186688 1208024 1291336 1370076 1388752 1414272 1484528 1511808 1520444 1575048 1613154 1724406 1769232 1780032 1812036 1826768 1937004 1999488 2083128 2100064 2150872 2226792 2280666 2299208 2358976 2416048 2582672 2690707 2740152 2777504 2969056 3040888 3150096 3226308 3448812 3538464 3560064 3624072 3653536 3874008 4166256 4200128 4301744 4453584 4561332 4598416 4681093 4717952 4832096 5165344 5381414 5480304 5555008 5938112 6081776 6300192 6452616 6897624 7076928 7248144 7307072 7748016 8072121 8332512 8334629 8400256 8603488 8907168 9122664 9196832 9362186 9664192 10330688 10762828 10960608 11023219 11110016 11783441 11876224 12163552 12600384 12905232 13795248 14043279 14153856 14496288 14614144 15496032 16144242 16665024 16669258 17206976 17814336 18245328 18393664 18724372 19328384 20661376 21525656 21921216 22046438 23566882 24327104 25003887 25200768 25810464 27590496 28086558 28992576 30992064 32288484 33069657 33330048 33338516 34413952 35350323 35628672 36490656 36787328 37448744 43051312 43842432 44092876 47133764 48654208 50007774 51620928 55180992 56173116 57985152 61984128 64576968 66139314 66677032 70700646 72981312 74897488 86102624 88185752 94267528 100015548 103241856 110361984 112346232 129153936 132278628 133354064 141401292 145962624 149794976 172205248 176371504 188535056 200031096 224692464 258307872 264557256 266708128 282802584 299589952 341719789 344410496 352743008 377070112 400062192 449384928 516615744 529114512 533416256 565605168 599179904 683439578 705486016 754140224 800124384 898769856 1025159367 1033231488 1058229024 1066832512 1131210336 1366879156 1410972032 1508280448 1600248768 1797539712 2050318734 2116458048 2262420672 2733758312 3200497536 4100637468 4232916096 4524841344 5467516624 8201274936 10935033248 16402549872 21870066496 32805099744 43740132992 65610199488 131220398976
- Sum of all divisors σ(n): 389549260800
- Sum of proper divisors (its aliquot sum) s(n): 258328861824
- 131220398976 is an abundant number, because the sum of its proper divisors (258328861824) is greater than itself. Its abundance is 127108462848
Bases of 131220398976
- Binary: 11110100011010101100001100011100000002
- Hexadecimal: 0x1E8D586380
- Base-36: 1OA58JUO
Squares and roots of 131220398976
- 131220398976 squared (1312203989762) is 17218793107420621848576
- 131220398976 cubed (1312203989763) is 2259456901440932825220165377458176
-
The
square root of 131220398976 is 362243.5630566817 -
The
cube root of 131220398976 is 5081.5997061689
Scales and comparisons
How big is 131220398976?- 131,220,398,976 seconds is equal to 4,172 years, 20 weeks, 6 days, 14 hours, 49 minutes, 36 seconds.
-
To count from 1 to 131,220,398,976 would take you about eight thousand, three hundred forty-four 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 131220398976 cubic inches would be around 423.5 feet tall.
Recreational maths with 131220398976
- 131220398976 backwards is 679893022131
- The number of decimal digits it has is: 12
- The sum of 131220398976's digits is 51
- More coming soon!
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