137688890040
137,688,890,040 is an even composite number composed of six prime numbers multiplied together.
137688890040 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of nine hundred sixty divisors.
Prime factorization of 137688890040:
23 × 34 × 5 × 133 × 23 × 292
(2 × 2 × 2 × 3 × 3 × 3 × 3 × 5 × 13 × 13 × 13 × 23 × 29 × 29)See below for interesting mathematical facts about the number 137688890040 from the Numbermatics database.
Names of 137688890040
- Cardinal: 137688890040 can be written as One hundred thirty-seven billion, six hundred eighty-eight million, eight hundred ninety thousand and forty.
Scientific notation
- Scientific notation: 1.3768889004 × 1011
Factors of 137688890040
Divisors of 137688890040
- Number of divisors d(n): 960
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 13 15 18 20 23 24 26 27 29 30 36 39 40 45 46 52 54 58 60 65 69 72 78 81 87 90 92 104 108 115 116 117 120 130 135 138 145 156 162 169 174 180 184 195 207 216 230 232 234 260 261 270 276 290 299 312 324 338 345 348 351 360 377 390 405 414 435 460 468 507 520 522 540 552 580 585 598 621 648 667 676 690 696 702 754 780 783 810 828 841 845 870 897 920 936 1014 1035 1044 1053 1080 1131 1160 1170 1196 1242 1305 1334 1352 1380 1404 1495 1508 1521 1560 1566 1620 1656 1682 1690 1740 1755 1794 1863 1885 2001 2028 2070 2088 2106 2197 2262 2340 2349 2392 2484 2523 2535 2610 2668 2691 2760 2808 2990 3016 3042 3105 3132 3240 3335 3364 3380 3393 3480 3510 3588 3726 3770 3887 3915 4002 4056 4140 4205 4212 4394 4485 4524 4563 4680 4698 4901 4968 5046 5070 5220 5265 5336 5382 5655 5980 6003 6084 6210 6264 6591 6670 6728 6760 6786 7020 7176 7452 7540 7569 7605 7774 7830 8004 8073 8280 8410 8424 8671 8788 8970 9048 9126 9315 9396 9802 10005 10092 10140 10179 10440 10530 10764 10933 10985 11310 11661 11745 11960 12006 12168 12420 12615 13182 13340 13455 13572 13689 14040 14703 14904 15080 15138 15210 15548 15660 16008 16146 16820 16965 17342 17576 17940 18009 18252 18630 18792 19343 19435 19604 19773 20010 20184 20280 20358 21060 21528 21866 21970 22620 22707 22815 23322 23490 24012 24219 24505 24840 25230 26013 26364 26680 26910 27144 27378 29406 30015 30276 30420 30537 31096 31320 32292 32799 32955 33640 33930 34684 34983 35880 36018 36504 37260 37845 38686 38870 39208 39546 40020 40365 40716 42120 43355 43732 43940 44109 45240 45414 45630 46644 46980 48024 48438 49010 50460 50531 50895 52026 52728 53820 54027 54665 54756 58029 58305 58812 59319 60030 60552 60840 61074 63713 64584 65598 65910 67860 68121 68445 69368 69966 72036 73515 74520 75690 77372 77740 78039 79092 80040 80730 81432 86710 87464 87880 88218 90045 90828 91260 93288 93960 96715 96876 98020 98397 98865 100920 101062 101790 104052 104949 107640 108054 109330 109512 112723 113535 116058 116610 117624 118638 120060 121095 122148 127426 130065 131196 131820 132327 135720 136242 136890 139932 142129 144072 147030 151380 151593 152685 154744 155480 156078 158184 161460 163995 173420 174087 174915 176436 177957 180090 181656 182520 191139 193430 193752 196040 196794 197730 202124 203580 208104 209898 216108 218660 220545 225446 227070 232116 233220 234117 237276 240120 242190 244296 251459 252655 254852 260130 262392 263640 264654 270135 272484 273780 279864 284258 290145 294060 295191 296595 302760 303186 305370 312156 314847 318565 322920 327990 338169 340605 346840 348174 349830 352872 355914 360180 382278 386860 390195 393588 395460 396981 404248 407160 419796 426387 432216 437320 441090 450892 454140 454779 464232 466440 468234 474552 484380 491985 502918 505310 509704 520260 522261 524745 529308 540270 544968 547560 563615 568516 573417 580290 588120 590382 593190 606372 610740 624312 629694 637130 655980 661635 676338 681210 696348 699660 702351 710645 711828 720360 754377 757965 764556 773720 780390 787176 790920 793962 839592 852774 870435 882180 885573 889785 901784 908280 909558 936468 955695 968760 983970 1005836 1010620 1014507 1040520 1044522 1049490 1058616 1080540 1127230 1137032 1146834 1160580 1170585 1180764 1186380 1212744 1221480 1257295 1259388 1274260 1279161 1311960 1323270 1352676 1362420 1364337 1392696 1399320 1404702 1421290 1423656 1465399 1475955 1508754 1515930 1529112 1560780 1566783 1574235 1587924 1690845 1705548 1720251 1740870 1764360 1771146 1779570 1819116 1847677 1872936 1911390 1967940 1984905 2011672 2021240 2029014 2089044 2098980 2131935 2161080 2254460 2263131 2273895 2293668 2321160 2341170 2361528 2372760 2514590 2518776 2548520 2558322 2611305 2646540 2705352 2724840 2728674 2809404 2842580 2867085 2930798 2951910 3017508 3031860 3043521 3121560 3133566 3148470 3175848 3268967 3381690 3411096 3440502 3481740 3511755 3542292 3559140 3638232 3695354 3771885 3822780 3837483 3935880 3969810 4058028 4093011 4178088 4197960 4263870 4396197 4427865 4508920 4526262 4547790 4587336 4682340 5029180 5072535 5116644 5160753 5222610 5293080 5457348 5543031 5618808 5685160 5734170 5861596 5903820 6035016 6063720 6087042 6267132 6296940 6395805 6537934 6763380 6789393 6821685 6881004 6963480 7023510 7084584 7118280 7326995 7390708 7543770 7645560 7674966 7833915 7939620 8116056 8186022 8527740 8601255 8792394 8855730 9052524 9095580 9130563 9238385 9364680 9806901 10058360 10145070 10233288 10321506 10445220 10914696 11086062 11315655 11468340 11512449 11723192 11807640 12174084 12534264 12593880 12791610 13075868 13188591 13526760 13578786 13643370 13762008 14047020 14653990 14781416 15087540 15217605 15349932 15667830 15879240 16344835 16372044 16629093 17055480 17202510 17584788 17711460 18105048 18191160 18261126 18476770 19187415 19613802 20290140 20368179 20465055 20643012 20890440 21980985 22172124 22631310 22936680 23024898 24348168 25583220 25803765 26151736 26377182 27157572 27286740 27715155 28094040 29307980 29420703 30175080 30435210 30699864 31335660 32689670 32744088 33258186 33946965 34405020 35169576 35422920 36522252 36953540 38374830 39227604 39565773 40580280 40736358 40930110 41286024 42496571 43961970 44344248 45262620 45652815 46049796 49034505 49887279 51166440 51607530 52754364 54315144 54573480 55430310 57562245 58615960 58841406 60870420 62671320 65379340 65942955 66516372 67893930 68810040 73044504 73907080 76749660 78455208 79131546 81472716 81860220 83145465 84993142 87923940 88262109 90525240 91305630 92099592 98069010 99774558 101840895 103215060 105508728 110860620 115124490 117682812 118697319 121740840 127489713 130758680 131885910 133032744 135787860 147103515 149661837 153499320 158263092 162945432 163720440 166290930 169986284 175847880 176524218 182611260 196138020 197828865 199549116 203681790 206430120 212482855 221721240 230248980 235365624 237394638 249436395 254979426 263771820 264786327 271575720 294207030 299323674 316526184 332581860 339972568 353048436 365222520 382469139 392276040 395657730 399098232 407363580 424965710 441310545 460497960 474789276 498872790 509958852 527543640 529572654 588414060 593486595 598647348 637448565 665163720 706096872 748309185 764938278 791315460 814727160 849931420 882621090 949578552 997745580 1019917704 1059145308 1147407417 1176828120 1186973190 1197294696 1274897130 1323931635 1496618370 1529876556 1582630920 1699862840 1765242180 1912345695 1995491160 2118290616 2294814834 2373946380 2549794260 2647863270 2993236740 3059753112 3442222251 3530484360 3824691390 4589629668 4747892760 5099588520 5295726540 5737037085 5986473480 6884444502 7649382780 9179259336 10591453080 11474074170 13768889004 15298765560 17211111255 22948148340 27537778008 34422222510 45896296680 68844445020 137688890040
- Sum of all divisors σ(n): 541794052800
- Sum of proper divisors (its aliquot sum) s(n): 404105162760
- 137688890040 is an abundant number, because the sum of its proper divisors (404105162760) is greater than itself. Its abundance is 266416272720
Bases of 137688890040
- Binary: 100000000011101110010110111010101110002
- Hexadecimal: 0x200EE5BAB8
- Base-36: 1R94ERI0
Squares and roots of 137688890040
- 137688890040 squared (1376888900402) is 18958230440447211201600
- 137688890040 cubed (1376888900403) is 2610337706467716831561758672064000
-
The
square root of 137688890040 is 371064.5362197795 -
The
cube root of 137688890040 is 5163.7629798597
Scales and comparisons
How big is 137688890040?- 137,688,890,040 seconds is equal to 4,378 years, 4 weeks, 1 day, 9 hours, 54 minutes.
-
To count from 1 to 137,688,890,040 would take you about eight thousand, seven hundred fifty-six 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 137688890040 cubic inches would be around 430.3 feet tall.
Recreational maths with 137688890040
- 137688890040 backwards is 040098886731
- 137688890040 is a
Harshad number . - The number of decimal digits it has is: 12
- The sum of 137688890040's digits is 54
- More coming soon!
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The information we have on file for 137688890040 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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