137085120480
137,085,120,480 is an even composite number composed of seven prime numbers multiplied together.
What does the number 137085120480 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 1152 divisors.
137085120480 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand, one hundred fifty-two divisors.
Prime factorization of 137085120480:
25 × 3 × 5 × 72 × 113 × 29 × 151
(2 × 2 × 2 × 2 × 2 × 3 × 5 × 7 × 7 × 11 × 11 × 11 × 29 × 151)See below for interesting mathematical facts about the number 137085120480 from the Numbermatics database.
Names of 137085120480
- Cardinal: 137085120480 can be written as One hundred thirty-seven billion, eighty-five million, one hundred twenty thousand, four hundred eighty.
Scientific notation
- Scientific notation: 1.3708512048 × 1011
Factors of 137085120480
Divisors of 137085120480
- Number of divisors d(n): 1152
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Complete list of divisors:
1 2 3 4 5 6 7 8 10 11 12 14 15 16 20 21 22 24 28 29 30 32 33 35 40 42 44 48 49 55 56 58 60 66 70 77 80 84 87 88 96 98 105 110 112 116 120 121 132 140 145 147 151 154 160 165 168 174 176 196 203 210 220 224 231 232 240 242 245 264 280 290 294 302 308 319 330 336 348 352 363 385 392 406 420 435 440 453 462 464 480 484 490 528 539 560 580 588 604 605 609 616 638 660 672 696 726 735 755 770 784 812 840 847 870 880 906 924 928 957 968 980 1015 1056 1057 1078 1120 1155 1160 1176 1208 1210 1218 1232 1276 1320 1331 1392 1421 1452 1470 1510 1540 1568 1595 1617 1624 1661 1680 1694 1740 1760 1812 1815 1848 1914 1936 1960 2030 2114 2156 2233 2265 2310 2320 2352 2416 2420 2436 2464 2541 2552 2640 2662 2695 2784 2842 2904 2940 3020 3045 3080 3171 3190 3234 3248 3322 3360 3388 3480 3509 3624 3630 3696 3828 3872 3920 3993 4060 4228 4235 4263 4312 4379 4466 4530 4620 4640 4704 4785 4832 4840 4872 4983 5082 5104 5280 5285 5324 5390 5684 5808 5880 5929 6040 6090 6160 6342 6380 6468 6496 6644 6655 6699 6776 6960 7018 7105 7248 7260 7392 7399 7656 7840 7986 8085 8120 8305 8456 8470 8526 8624 8758 8932 9060 9240 9317 9570 9680 9744 9966 10164 10208 10527 10570 10648 10780 11165 11368 11616 11627 11760 11858 12080 12180 12320 12684 12705 12760 12936 13137 13288 13310 13398 13552 13920 14036 14210 14496 14520 14798 15312 15631 15855 15972 16170 16240 16610 16912 16940 17052 17248 17516 17545 17787 17864 18120 18271 18480 18634 19140 19360 19488 19932 19965 20328 21054 21140 21296 21315 21560 21895 22197 22330 22736 23254 23520 23716 24160 24360 24563 24915 25368 25410 25520 25872 26274 26576 26620 26796 27104 27951 28072 28420 29040 29596 29645 30624 30653 31262 31710 31944 32340 32480 33220 33495 33824 33880 34104 34881 35032 35090 35574 35728 36240 36542 36960 36995 37268 38280 38599 39864 39930 40656 42108 42280 42592 42630 43120 43790 44394 44660 45472 46508 46585 46893 47432 48169 48720 49126 49830 50736 50820 51040 51744 52548 52635 53152 53240 53592 54813 55902 56144 56840 58080 58135 59192 59290 61306 62524 63420 63888 64680 65219 65685 66440 66990 67760 68208 69762 70064 70180 71148 71456 72480 73084 73689 73990 74536 76560 77198 78155 79728 79860 81312 81389 84216 84560 85260 86240 87580 88788 88935 89320 91355 91959 93016 93170 93786 94864 96338 97440 98252 99660 101472 101640 105096 105270 106480 107184 109626 110985 111804 112288 113680 115797 116270 118384 118580 122612 122815 125048 126840 127776 127897 129360 130438 131370 132880 133980 135520 136416 139524 139755 140128 140360 142296 144507 146168 147378 147980 149072 153120 153265 154396 156310 159456 159720 162778 168432 169120 170520 171941 174405 175160 177576 177870 178640 182710 183918 186032 186340 187572 189728 192676 192995 195657 196504 199320 200981 203280 210192 210540 212960 214368 214571 219252 221970 223608 227360 231594 232540 234465 236768 237160 240845 244167 245224 245630 250096 253680 255794 258720 260876 262740 265760 267960 270193 274065 279048 279510 280720 284592 289014 292336 294756 295960 298144 306530 308792 312620 319440 325556 326095 336864 337183 341040 343882 348810 350320 355152 355740 357280 365420 367836 368445 372064 372680 375144 383691 385352 385990 391314 393008 398640 401962 406560 406945 420384 421080 429142 438504 443940 447216 459795 463188 465080 468930 474320 481690 488334 490448 491260 500192 507360 511588 515823 521752 525480 529859 535920 540386 548130 558096 559020 561440 569184 578028 578985 584672 589512 591920 602943 613060 617584 625240 638880 639485 643713 651112 652190 674366 682080 687764 697620 700640 710304 711480 722535 730840 735672 736890 745360 750288 767382 770704 771980 782628 786016 797280 803924 810579 813890 842160 858284 859705 877008 887880 894432 895279 919590 926376 930160 937860 948640 963380 976668 978285 980896 982520 1004905 1011549 1023176 1031646 1043504 1050960 1059718 1071840 1072855 1080772 1096260 1116192 1118040 1156056 1157970 1179024 1183840 1205886 1220835 1226120 1235168 1250480 1278970 1287426 1302224 1304380 1348732 1350965 1375528 1395240 1406867 1422960 1445070 1461680 1471344 1473780 1490720 1500576 1534764 1541408 1543960 1565256 1589577 1607848 1621158 1627780 1684320 1685915 1716568 1719410 1754016 1775760 1790558 1839180 1852752 1860320 1875720 1891351 1918455 1926760 1953336 1956570 1965040 2009810 2023098 2046352 2063292 2087008 2101920 2119436 2145710 2161544 2192520 2236080 2312112 2315940 2358048 2360281 2411772 2441670 2452240 2500960 2557940 2574852 2579115 2604448 2608760 2649295 2685837 2697464 2701930 2751056 2790480 2813734 2845920 2890140 2923360 2942688 2947560 3014715 3069528 3087920 3130512 3179154 3215696 3218565 3242316 3255560 3371830 3433136 3438820 3551520 3581116 3678360 3705504 3709013 3751440 3782702 3836910 3853520 3906672 3913140 3930080 4019620 4046196 4052895 4092704 4126584 4220601 4238872 4291420 4323088 4385040 4472160 4476395 4624224 4631880 4720562 4823544 4883340 4904480 5057745 5115880 5149704 5158230 5217520 5298590 5371674 5394928 5403860 5502112 5580960 5627468 5674053 5780280 5828449 5895120 6029430 6139056 6175840 6261024 6358308 6431392 6437130 6484632 6511120 6743660 6866272 6877640 7034335 7080843 7162232 7356720 7418026 7502880 7565404 7673820 7707040 7813344 7826280 7947885 8039240 8092392 8105790 8253168 8441202 8477744 8582840 8646176 8770080 8952790 9263760 9441124 9456755 9647088 9766680 9848069 10115490 10231760 10299408 10316460 10435040 10597180 10743348 10789856 10807720 11127039 11254936 11348106 11560560 11656898 11790240 11801405 12058860 12278112 12716616 12874260 12969264 13022240 13429185 13487320 13755280 14068670 14161686 14324464 14713440 14836052 15130808 15347640 15652560 15895770 16078480 16184784 16211580 16506336 16882404 16955488 17165680 17485347 17905580 18527520 18545065 18882248 18913510 19294176 19533360 19696138 20230980 20463520 20598816 20632920 21103005 21194360 21486696 21615440 22254078 22509872 22696212 23121120 23313796 23602810 24117720 25433232 25748520 25938528 25963091 26858370 26974640 27510560 28137340 28323372 28370265 28648928 29142245 29544207 29672104 30261616 30695280 31305120 31791540 32156960 32369568 32423160 33764808 34331360 34970694 35404215 35811160 37090130 37764496 37827020 39066720 39392276 40461960 40799143 41265840 42206010 42388720 42973392 43230880 44508156 45019744 45392424 46627592 47205620 48235440 49240345 50866464 51497040 51926182 53716740 53949280 55635195 56274680 56646744 56740530 58284490 59088414 59344208 60523232 61390560 63583080 64846320 67529616 69941388 70808430 71622320 74180260 75528992 75654040 77889273 78784552 80923920 81598286 82531680 84412020 84777440 85946784 87426735 89016312 90784848 93255184 94411240 96470880 98480690 102994080 103852364 107433480 111270390 112549360 113293488 113481060 116568980 118176828 118688416 122397429 127166160 129692640 129815455 135059232 139882776 141616860 143244640 147721035 148360520 151308080 155778546 157569104 161847840 163196572 168824040 174853470 178032624 181569696 186510368 188822480 196961380 203995715 207704728 214866960 222540780 225098720 226586976 226962120 233137960 236353656 244794858 254332320 259630910 279765552 283233720 285594001 295442070 296721040 302616160 311557092 315138208 326393144 337648080 349706940 356065248 377644960 389446365 393922760 407991430 415409456 429733920 445081560 453924240 466275920 472707312 489589716 519261820 559531104 566467440 571188002 590884140 593442080 611987145 623114184 652786288 675296160 699413880 778892730 787845520 815982860 830818912 856782003 890163120 907848480 932551840 945414624 979179432 1038523640 1132934880 1142376004 1181768280 1223974290 1246228368 1305572576 1398827760 1427970005 1557785460 1575691040 1631965720 1713564006 1780326240 1958358864 2077047280 2284752008 2363536560 2447948580 2492456736 2797655520 2855940010 3115570920 3263931440 3427128012 3916717728 4154094560 4283910015 4569504016 4727073120 4895897160 5711880020 6231141840 6527862880 6854256024 8567820030 9139008032 9791794320 11423760040 12462283680 13708512048 17135640060 19583588640 22847520080 27417024096 34271280120 45695040160 68542560240 137085120480
- Sum of all divisors σ(n): 575350594560
- Sum of proper divisors (its aliquot sum) s(n): 438265474080
- 137085120480 is an abundant number, because the sum of its proper divisors (438265474080) is greater than itself. Its abundance is 301180353600
Bases of 137085120480
- Binary: 11111111010101110100011101111111000002
- Hexadecimal: 0x1FEAE8EFE0
- Base-36: 1QZ4XVXC
Squares and roots of 137085120480
- 137085120480 squared (1370851204802) is 18792330257016115430400
- 137085120480 cubed (1370851204803) is 2576148857383003549077971054592000
-
The
square root of 137085120480 is 370250.0782984387 -
The
cube root of 137085120480 is 5156.2041731039
Scales and comparisons
How big is 137085120480?- 137,085,120,480 seconds is equal to 4,358 years, 45 weeks, 6 days, 8 hours, 8 minutes.
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To count from 1 to 137,085,120,480 would take you about eight thousand, seven hundred seventeen 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 137085120480 cubic inches would be around 429.7 feet tall.
Recreational maths with 137085120480
- 137085120480 backwards is 084021580731
- The number of decimal digits it has is: 12
- The sum of 137085120480's digits is 39
- More coming soon!
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The information we have on file for 137085120480 includes mathematical data and numerical statistics calculated using standard algorithms and methods. We are adding more all the time. If there are any features you would like to see, please contact us. Information provided for educational use, intellectual curiosity and fun!
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