137456271680
137,456,271,680 is an even composite number composed of seven prime numbers multiplied together.
137456271680 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of eight hundred ninety-six divisors.
Prime factorization of 137456271680:
26 × 5 × 7 × 133 × 17 × 31 × 53
(2 × 2 × 2 × 2 × 2 × 2 × 5 × 7 × 13 × 13 × 13 × 17 × 31 × 53)See below for interesting mathematical facts about the number 137456271680 from the Numbermatics database.
Names of 137456271680
- Cardinal: 137456271680 can be written as One hundred thirty-seven billion, four hundred fifty-six million, two hundred seventy-one thousand, six hundred eighty.
Scientific notation
- Scientific notation: 1.3745627168 × 1011
Factors of 137456271680
Divisors of 137456271680
- Number of divisors d(n): 896
-
Complete list of divisors:
1 2 4 5 7 8 10 13 14 16 17 20 26 28 31 32 34 35 40 52 53 56 62 64 65 68 70 80 85 91 104 106 112 119 124 130 136 140 155 160 169 170 182 208 212 217 221 224 238 248 260 265 272 280 310 320 338 340 364 371 403 416 424 434 442 448 455 476 496 520 527 530 544 560 595 620 676 680 689 728 742 806 832 845 848 868 884 901 910 952 992 1040 1054 1060 1085 1088 1105 1120 1183 1190 1240 1352 1360 1378 1456 1484 1547 1612 1643 1690 1696 1736 1768 1802 1820 1855 1904 1984 2015 2080 2108 2120 2170 2197 2210 2240 2366 2380 2480 2635 2704 2720 2756 2821 2873 2912 2968 3094 3224 3286 3380 3392 3445 3472 3536 3604 3640 3689 3710 3808 4030 4160 4216 4240 4340 4394 4420 4505 4732 4760 4823 4960 5239 5270 5408 5440 5512 5642 5746 5824 5915 5936 6188 6307 6448 6572 6760 6851 6890 6944 7072 7208 7280 7378 7420 7616 7735 8060 8215 8432 8480 8680 8788 8840 8957 9010 9464 9520 9646 9920 10478 10540 10816 10985 11024 11284 11492 11501 11713 11830 11872 12376 12614 12896 13144 13520 13702 13780 13888 14105 14144 14365 14416 14560 14756 14840 15379 15470 16120 16430 16864 16960 17360 17576 17680 17914 18020 18445 18928 19040 19292 20111 20956 21080 21359 21970 22048 22568 22984 23002 23426 23660 23744 24115 24752 25228 25792 26195 26288 27040 27404 27560 27931 28210 28730 28832 29120 29512 29680 30758 30940 31535 32240 32860 33728 34255 34720 35152 35360 35828 36040 36673 36890 37349 37856 38080 38584 40222 41912 42160 42718 43940 44096 44785 45136 45968 46004 46852 47320 47957 48230 49504 50456 52390 52576 54080 54808 55120 55862 56420 57460 57505 57664 58565 59024 59360 61516 61880 62699 63070 64480 65720 68107 68510 69440 70304 70720 71656 72080 73346 73780 74698 75712 76895 77168 80444 81991 83824 84320 85436 87880 89063 89570 90272 91936 92008 93704 94640 95914 96460 99008 100555 100912 104780 105152 106795 109616 110240 111724 112840 114920 115010 116441 117130 118048 118720 123032 123760 125398 126140 128960 131440 136214 137020 139655 140608 143312 144160 146692 147560 149396 149513 152269 153790 154336 160888 163982 167648 168640 170872 175760 178126 179140 180544 183365 183872 184016 186745 187408 189280 191828 192920 195517 201110 201824 209560 213590 219232 220480 223448 225680 229840 230020 232882 234260 236096 239785 246064 247520 250796 252280 261443 262880 272428 274040 277667 279310 286624 288320 293384 295120 298792 299026 304538 307580 308672 313495 321776 327964 335296 340535 341744 351520 356252 358280 363103 366730 368032 373490 374816 378560 383656 385840 391034 402220 403648 409955 419120 427180 438464 445315 446896 451360 459680 460040 465764 468520 476749 479570 492128 495040 501592 504560 522886 525760 544856 548080 555334 558620 573248 582205 586768 590240 597584 598052 609076 615160 623441 626990 643552 655928 681070 683488 703040 712504 716560 726206 733460 736064 746980 747565 749632 761345 767312 771680 782068 804440 815087 819910 838240 854360 890630 893792 902720 919360 920080 931528 937040 953498 959140 977585 984256 1003184 1009120 1045772 1065883 1089712 1096160 1110668 1117240 1157819 1164410 1173536 1180480 1195168 1196104 1218152 1230320 1246882 1253980 1287104 1307215 1311856 1362140 1366976 1388335 1425008 1433120 1452412 1466920 1493960 1495130 1522690 1534624 1543360 1564136 1608880 1630174 1639820 1676480 1708720 1781260 1787584 1815515 1840160 1863056 1874080 1906996 1918280 1943669 1955170 1979497 2006368 2018240 2091544 2131766 2179424 2192320 2221336 2234480 2315638 2328820 2347072 2383745 2390336 2392208 2436304 2460640 2493764 2507960 2541721 2614430 2623712 2724280 2776670 2850016 2866240 2904824 2933840 2987920 2990260 3045380 3069248 3117205 3128272 3217760 3260348 3279640 3417440 3562520 3609671 3631030 3680320 3726112 3748160 3813992 3836560 3887338 3910340 3958994 4012736 4075435 4183088 4263532 4358848 4442672 4468960 4631276 4657640 4720339 4767490 4784416 4872608 4921280 4987528 5015920 5083442 5228860 5247424 5329415 5448560 5553340 5700032 5789095 5809648 5867680 5975840 5980520 6090760 6234410 6256544 6435520 6520696 6559280 6834880 7125040 7219342 7262060 7452224 7627984 7673120 7774676 7820680 7917988 8104733 8150870 8366176 8527064 8885344 8937920 9262552 9315280 9440678 9534980 9568832 9718345 9745216 9897485 9975056 10031840 10166884 10457720 10658830 10897120 11106680 11578190 11619296 11735360 11951680 11961040 12181520 12468820 12513088 12708605 13041392 13118560 13856479 14250080 14438684 14524120 15255968 15346240 15549352 15641360 15835976 16209466 16301740 16732352 17054128 17770688 18048355 18525104 18630560 18881356 19069960 19436690 19794970 19950112 20063680 20333768 20915440 21317660 21794240 22213360 23156380 23238592 23601695 23922080 24363040 24937640 25267697 25417210 26082784 26237120 27712958 28500160 28877368 29048240 30511936 31098704 31282720 31671952 32418932 32603480 33042373 34108256 36096710 37050208 37261120 37762712 38139920 38873380 39589940 39900224 40523665 40667536 41830880 42635320 44426720 46312760 47203390 47844160 48726080 49875280 50535394 50834420 52165568 55425916 57754736 58096480 61364407 62197408 62565440 63343904 64837864 65206960 66084746 68216512 69282395 72193420 74100416 75525424 76279840 77746760 79179880 81047330 81335072 83661760 85270640 88853440 92625520 94406780 99750560 101070788 101668840 110851832 115509472 116192960 122728814 124394816 126338485 126687808 129675728 130413920 132169492 138564790 144386840 151050848 152559680 155493520 158359760 162094660 162670144 165211865 170541280 185251040 188813560 199501120 202141576 203337680 221703664 231018944 245457628 252676970 259351456 260827840 264338984 277129580 288773680 302101696 306822035 310987040 316719520 324189320 330423730 341082560 370502080 377627120 404283152 406675360 429550849 443407328 490915256 505353940 518702912 528677968 554259160 577547360 613644070 621974080 633439040 648378640 660847460 755254240 808566304 813350720 859101698 886814656 981830512 1010707880 1057355936 1108518320 1155094720 1227288140 1296757280 1321694920 1510508480 1617132608 1718203396 1963661024 2021415760 2114711872 2147754245 2217036640 2454576280 2593514560 2643389840 3436406792 3927322048 4042831520 4295508490 4434073280 4909152560 5286779680 6872813584 8085663040 8591016980 9818305120 10573559360 13745627168 17182033960 19636610240 27491254336 34364067920 68728135840 137456271680
- Sum of all divisors σ(n): 451271761920
- Sum of proper divisors (its aliquot sum) s(n): 313815490240
- 137456271680 is an abundant number, because the sum of its proper divisors (313815490240) is greater than itself. Its abundance is 176359218560
Bases of 137456271680
- Binary: 100000000000010000100001000001010000002
- Hexadecimal: 0x2001084140
- Base-36: 1R59WY0W
Squares and roots of 137456271680
- 137456271680 squared (1374562716802) is 18894226624165970022400
- 137456271680 cubed (1374562716803) is 2597129948034846828809750085632000
-
The
square root of 137456271680 is 370750.9564114431 -
The
cube root of 137456271680 is 5160.8533692667
Scales and comparisons
How big is 137456271680?- 137,456,271,680 seconds is equal to 4,370 years, 35 weeks, 4 days, 1 hour, 41 minutes, 20 seconds.
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To count from 1 to 137,456,271,680 would take you about eight thousand, seven hundred forty-one 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 137456271680 cubic inches would be around 430.1 feet tall.
Recreational maths with 137456271680
- 137456271680 backwards is 086172654731
- The number of decimal digits it has is: 12
- The sum of 137456271680's digits is 50
- More coming soon!
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The information we have on file for 137456271680 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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