148138187680
148,138,187,680 is an even composite number composed of seven prime numbers multiplied together.
148138187680 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of seven hundred sixty-eight divisors.
Prime factorization of 148138187680:
25 × 5 × 73 × 17 × 19 × 61 × 137
(2 × 2 × 2 × 2 × 2 × 5 × 7 × 7 × 7 × 17 × 19 × 61 × 137)See below for interesting mathematical facts about the number 148138187680 from the Numbermatics database.
Names of 148138187680
- Cardinal: 148138187680 can be written as One hundred forty-eight billion, one hundred thirty-eight million, one hundred eighty-seven thousand, six hundred eighty.
Scientific notation
- Scientific notation: 1.4813818768 × 1011
Factors of 148138187680
Divisors of 148138187680
- Number of divisors d(n): 768
-
Complete list of divisors:
1 2 4 5 7 8 10 14 16 17 19 20 28 32 34 35 38 40 49 56 61 68 70 76 80 85 95 98 112 119 122 133 136 137 140 152 160 170 190 196 224 238 244 245 266 272 274 280 304 305 323 340 343 380 392 427 476 488 490 532 544 548 560 595 608 610 646 665 680 685 686 760 784 833 854 931 952 959 976 980 1037 1064 1096 1120 1159 1190 1220 1292 1330 1360 1370 1372 1520 1568 1615 1666 1708 1715 1862 1904 1918 1952 1960 2074 2128 2135 2192 2261 2318 2329 2380 2440 2584 2603 2660 2720 2740 2744 2989 3040 3230 3332 3416 3430 3724 3808 3836 3920 4148 4165 4256 4270 4384 4522 4636 4655 4658 4760 4795 4880 5168 5185 5206 5320 5480 5488 5795 5831 5978 6460 6517 6664 6713 6832 6860 7259 7448 7672 7840 8113 8296 8330 8357 8540 9044 9272 9310 9316 9520 9590 9760 10336 10370 10412 10640 10960 10976 11305 11590 11645 11662 11956 12920 13015 13034 13328 13426 13664 13720 14518 14896 14945 15344 15827 16226 16303 16592 16660 16714 17080 18088 18221 18544 18620 18632 19040 19180 19703 20740 20824 20923 21280 21920 22610 23180 23290 23324 23912 25840 26030 26068 26656 26852 27440 29036 29155 29792 29890 30688 31654 32452 32585 32606 33184 33320 33428 33565 34160 36176 36295 36442 37088 37240 37264 38360 39406 40565 41480 41648 41785 41846 44251 45220 46360 46580 46648 46991 47824 50813 51680 52060 52136 53704 54880 56791 58072 58310 58499 59780 63308 64904 65170 65212 66640 66856 67130 68320 72352 72590 72884 74480 74528 76720 78812 79135 81130 81515 82960 83296 83570 83692 88502 90440 91105 92720 93160 93296 93982 95648 98515 101626 104120 104272 104615 107408 110789 113582 114121 116144 116620 116998 119560 126616 127547 129808 130340 130424 133280 133712 134260 137921 142069 145180 145768 148960 153440 157624 158270 158783 162260 163030 165920 167140 167384 177004 180880 182210 185440 186320 186592 187964 197030 203252 208240 208544 209230 214816 221255 221578 227164 228242 232288 233240 233996 234955 239120 253232 254065 255094 259616 260680 260848 267424 268520 275842 283955 284138 290360 291536 292495 309757 315248 316540 317566 324520 326060 334280 334768 354008 355691 361760 364420 372640 375928 394060 397537 406504 409493 416480 418460 442510 443156 454328 456484 466480 467992 469910 478240 506464 508130 510188 521360 521696 537040 551684 553945 567910 568276 570605 580720 583072 584990 619514 630496 633080 635132 637735 649040 652120 668560 669536 689605 708016 710345 711382 728840 751856 788120 793915 795074 798847 813008 818986 836920 885020 886312 892829 908656 912968 932960 935984 939820 965447 994483 1016260 1020376 1042720 1074080 1103368 1107890 1111481 1135820 1136552 1141210 1161440 1169980 1239028 1266160 1270264 1275470 1298080 1304240 1337120 1379210 1416032 1420690 1422764 1457680 1503712 1548785 1576240 1587830 1590148 1597694 1626016 1637972 1673840 1770040 1772624 1778455 1785658 1817312 1825936 1871968 1879640 1930894 1987685 1988966 2032520 2040752 2047465 2168299 2206736 2215780 2222962 2271640 2273104 2282420 2339960 2478056 2532320 2540528 2550940 2608480 2699311 2758420 2841380 2845528 2866451 2915360 3097570 3152480 3175660 3180296 3195388 3275944 3347680 3540080 3545248 3556910 3571316 3651872 3759280 3861788 3975370 3977932 3994235 4065040 4081504 4094930 4336598 4413472 4431560 4445924 4464145 4543280 4546208 4564840 4679920 4827235 4956112 4972415 5081056 5101880 5398622 5516840 5557405 5682760 5691056 5732902 6195140 6351320 6360592 6390776 6551888 6758129 6961381 7080160 7113820 7142632 7518560 7723576 7780367 7950740 7955864 7988470 8130080 8189860 8673196 8863120 8891848 8928290 9086560 9129680 9359840 9654470 9912224 9944830 10203760 10797244 10841495 11033680 11114810 11365520 11382112 11465804 12390280 12702640 12721184 12781552 13103776 13496555 13516258 13922762 14227640 14285264 14332255 15178093 15447152 15560734 15901480 15911728 15976940 16379720 17346392 17726240 17783696 17856580 18259360 18895177 19308940 19889660 20407520 21594488 21682990 22067360 22229620 22731040 22931608 24780560 25405280 25563104 26993110 27032516 27845524 28455280 28570528 28664510 30356186 30894304 31121468 31802960 31823456 31953880 32759440 33790645 34692784 34806905 35567392 35713160 37790354 38617880 38901835 39779320 43188976 43365980 44459240 45863216 48729667 49561120 53986220 54065032 54462569 55691048 56910560 57329020 60712372 62242936 63605920 63907760 65518880 67581290 69385568 69613810 71426320 75580708 75890465 77235760 77803670 79558640 86377952 86731960 88918480 91726432 94475885 97459334 107972440 108130064 108925138 111382096 114658040 121424744 124485872 127815520 132266239 135162580 139227620 142852640 151161416 151780930 154471520 155607340 159117280 173463920 177836960 188951770 194918668 215944880 216260128 217850276 222764192 229316080 242849488 243648335 248971744 264532478 270325160 272312845 278455240 302322832 303561860 311214680 346927840 377903540 389837336 431889760 435700552 458632160 485698976 487296670 529064956 540650320 544625690 556910480 604645664 607123720 622429360 661331195 755807080 779674672 871401104 925863673 974593340 1058129912 1081300640 1089251380 1113820960 1214247440 1244858720 1322662390 1511614160 1559349344 1742802208 1851727346 1949186680 2116259824 2178502760 2428494880 2645324780 3023228320 3703454692 3898373360 4232519648 4357005520 4629318365 5290649560 7406909384 7796746720 8714011040 9258636730 10581299120 14813818768 18517273460 21162598240 29627637536 37034546920 74069093840 148138187680
- Sum of all divisors σ(n): 465720192000
- Sum of proper divisors (its aliquot sum) s(n): 317582004320
- 148138187680 is an abundant number, because the sum of its proper divisors (317582004320) is greater than itself. Its abundance is 169443816640
Bases of 148138187680
- Binary: 100010011111011011100101011011101000002
- Hexadecimal: 0x227DB95BA0
- Base-36: 1W1XNH5S
Squares and roots of 148138187680
- 148138187680 squared (1481381876802) is 21944922649114903782400
- 148138187680 cubed (1481381876803) is 3250881070017666402402313080832000
-
The
square root of 148138187680 is 384887.2402145855 -
The
cube root of 148138187680 is 5291.2182528041
Scales and comparisons
How big is 148138187680?- 148,138,187,680 seconds is equal to 4,710 years, 17 weeks, 3 days, 8 hours, 34 minutes, 40 seconds.
-
To count from 1 to 148,138,187,680 would take you about nine thousand, four hundred twenty 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 148138187680 cubic inches would be around 440.9 feet tall.
Recreational maths with 148138187680
- 148138187680 backwards is 086781831841
- The number of decimal digits it has is: 12
- The sum of 148138187680's digits is 55
- More coming soon!
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