130967971680
130,967,971,680 is an even composite number composed of seven prime numbers multiplied together.
What does the number 130967971680 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 576 divisors.
130967971680 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of five hundred seventy-six divisors.
Prime factorization of 130967971680:
25 × 3 × 5 × 7 × 13 × 31 × 3112
(2 × 2 × 2 × 2 × 2 × 3 × 5 × 7 × 13 × 31 × 311 × 311)See below for interesting mathematical facts about the number 130967971680 from the Numbermatics database.
Names of 130967971680
- Cardinal: 130967971680 can be written as One hundred thirty billion, nine hundred sixty-seven million, nine hundred seventy-one thousand, six hundred eighty.
Scientific notation
- Scientific notation: 1.3096797168 × 1011
Factors of 130967971680
Divisors of 130967971680
- Number of divisors d(n): 576
-
Complete list of divisors:
1 2 3 4 5 6 7 8 10 12 13 14 15 16 20 21 24 26 28 30 31 32 35 39 40 42 48 52 56 60 62 65 70 78 80 84 91 93 96 104 105 112 120 124 130 140 155 156 160 168 182 186 195 208 210 217 224 240 248 260 273 280 310 311 312 336 364 372 390 403 416 420 434 455 465 480 496 520 546 560 620 622 624 651 672 728 744 780 806 840 868 910 930 933 992 1040 1085 1092 1120 1209 1240 1244 1248 1302 1365 1456 1488 1555 1560 1612 1680 1736 1820 1860 1866 2015 2080 2170 2177 2184 2418 2480 2488 2604 2730 2821 2912 2976 3110 3120 3224 3255 3360 3472 3640 3720 3732 4030 4043 4340 4354 4368 4665 4836 4960 4976 5208 5460 5642 6045 6220 6240 6448 6510 6531 6944 7280 7440 7464 8060 8086 8463 8680 8708 8736 9330 9641 9672 9952 10416 10885 10920 11284 12090 12129 12440 12896 13020 13062 14105 14560 14880 14928 16120 16172 16926 17360 17416 18660 19282 19344 20215 20832 21770 21840 22568 24180 24258 24880 26040 26124 28210 28301 28923 29856 32240 32344 32655 33852 34720 34832 37320 38564 38688 40430 42315 43540 43680 45136 48205 48360 48516 49760 52080 52248 56420 56602 57846 60645 64480 64688 65310 67487 67704 69664 74640 77128 80860 84630 84903 87080 90272 96410 96720 96721 97032 104160 104496 112840 113204 115692 121290 125333 129376 130620 134974 135408 141505 144615 149280 154256 161720 169260 169806 174160 192820 193440 193442 194064 202461 208992 225680 226408 231384 242580 250666 261240 269948 270816 283010 289230 290163 308512 323440 337435 338520 339612 348320 375999 385640 386884 388128 404922 424515 451360 452816 462768 483605 485160 501332 522480 539896 566020 578460 580326 626665 646880 674870 677040 677047 679224 751998 771280 773768 809844 849030 877331 905632 925536 967210 970320 1002664 1012305 1044960 1079792 1132040 1156920 1160652 1253330 1257373 1349740 1354080 1354094 1358448 1450815 1503996 1542560 1547536 1619688 1698060 1754662 1879995 1934420 1940640 2005328 2024610 2031141 2159584 2264080 2313840 2321304 2506660 2514746 2631993 2699480 2708188 2716896 2901630 2998351 3007992 3095072 3239376 3385235 3396120 3509324 3759990 3772119 3868840 4010656 4049220 4062282 4386655 4528160 4627680 4642608 5013320 5029492 5263986 5398960 5416376 5803260 5996702 6015984 6286865 6478752 6770470 6792240 7018648 7519980 7544238 7737680 8098440 8124564 8773310 8801611 8995053 9285216 10026640 10058984 10155705 10527972 10797920 10832752 11606520 11993404 12031968 12573730 13159965 13540940 13584480 14037296 14991755 15039960 15088476 15475360 16196880 16249128 17546620 17603222 17990106 18860595 20053280 20117968 20311410 20988457 21055944 21665504 23213040 23986808 25147460 26319930 26404833 27081880 28074592 29983510 30079920 30176952 32393760 32498256 35093240 35206444 35980212 37721190 38978563 40235936 40622820 41976914 42111888 44008055 44975265 46426080 47973616 50294920 52639860 52809666 54163760 59967020 60159840 60353904 62965371 64996512 70186480 70412888 71960424 75442380 77957126 81245640 83953828 84223776 88016110 89950530 95947232 100589840 104942285 105279720 105619332 108327520 116935689 119934040 120707808 125930742 132024165 140372960 140825776 143920848 150884760 155914252 162491280 167907656 176032220 179901060 194892815 201179680 209884570 210559440 211238664 233871378 239868080 251861484 264048330 272849941 281651552 287841696 301769520 311828504 314826855 324982560 335815312 352064440 359802120 389785630 419769140 421118880 422477328 467742756 479736160 503722968 528096660 545699882 584678445 603539040 623657008 629653710 671630624 704128880 719604240 779571260 818549823 839538280 844954656 935485512 1007445936 1056193320 1091399764 1169356890 1247314016 1259307420 1364249705 1408257760 1439208480 1559142520 1637099646 1679076560 1870971024 2014891872 2112386640 2182799528 2338713780 2518614840 2728499410 3118285040 3274199292 3358153120 3741942048 4092749115 4224773280 4365599056 4677427560 5037229680 5456998820 6236570080 6548398584 8185498230 8731198112 9354855120 10074459360 10913997640 13096797168 16370996460 18709710240 21827995280 26193594336 32741992920 43655990560 65483985840 130967971680
- Sum of all divisors σ(n): 525822603264
- Sum of proper divisors (its aliquot sum) s(n): 394854631584
- 130967971680 is an abundant number, because the sum of its proper divisors (394854631584) is greater than itself. Its abundance is 263886659904
Bases of 130967971680
- Binary: 11110011111100100110010100111011000002
- Hexadecimal: 0x1E7E4CA760
- Base-36: 1O5YY5PC
Squares and roots of 130967971680
- 130967971680 squared (1309679716802) is 17152609605973282022400
- 130967971680 cubed (1309679716803) is 2246442489113204758746336325632000
-
The
square root of 130967971680 is 361894.9732726333 -
The
cube root of 130967971680 is 5078.3391412695
Scales and comparisons
How big is 130967971680?- 130,967,971,680 seconds is equal to 4,164 years, 19 weeks, 4 days, 8 minutes.
-
To count from 1 to 130,967,971,680 would take you about eight thousand, three hundred twenty-eight 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 130967971680 cubic inches would be around 423.2 feet tall.
Recreational maths with 130967971680
- 130967971680 backwards is 086179769031
- The number of decimal digits it has is: 12
- The sum of 130967971680's digits is 57
- More coming soon!
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