135383338440
135,383,338,440 is an even composite number composed of seven prime numbers multiplied together.
135383338440 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 135383338440:
23 × 35 × 5 × 7 × 73 × 97 × 281
(2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 5 × 7 × 73 × 97 × 281)See below for interesting mathematical facts about the number 135383338440 from the Numbermatics database.
Names of 135383338440
- Cardinal: 135383338440 can be written as One hundred thirty-five billion, three hundred eighty-three million, three hundred thirty-eight thousand, four hundred forty.
Scientific notation
- Scientific notation: 1.3538333844 × 1011
Factors of 135383338440
Divisors of 135383338440
- Number of divisors d(n): 768
-
Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 14 15 18 20 21 24 27 28 30 35 36 40 42 45 54 56 60 63 70 72 73 81 84 90 97 105 108 120 126 135 140 146 162 168 180 189 194 210 216 219 243 252 270 280 281 291 292 315 324 360 365 378 388 405 420 438 485 486 504 511 540 562 567 582 584 630 648 657 679 730 756 776 810 840 843 873 876 945 970 972 1022 1080 1095 1124 1134 1164 1215 1260 1314 1358 1405 1455 1460 1512 1533 1620 1686 1701 1746 1752 1890 1940 1944 1967 1971 2037 2044 2190 2248 2268 2328 2430 2520 2529 2555 2619 2628 2716 2810 2835 2910 2920 3066 3240 3285 3372 3395 3402 3492 3780 3880 3934 3942 4074 4088 4215 4365 4380 4536 4599 4860 5058 5110 5238 5256 5432 5620 5670 5820 5901 5913 6111 6132 6570 6744 6790 6804 6984 7081 7560 7587 7665 7857 7868 7884 8148 8430 8505 8730 8760 9198 9720 9835 9855 10116 10185 10220 10476 11240 11340 11640 11802 11826 12222 12264 12645 13095 13140 13580 13608 13797 14162 15174 15330 15714 15736 15768 16296 16860 17010 17460 17703 17739 18333 18396 19670 19710 20232 20370 20440 20513 20952 21243 22680 22761 22995 23571 23604 23652 24444 25290 26190 26280 27160 27257 27594 28324 29505 29565 30348 30555 30660 31428 33720 34020 34920 35405 35406 35478 36666 36792 37935 39285 39340 39420 40740 41026 41391 42486 45522 45990 47142 47208 47304 48888 49567 50580 52380 53109 54514 54999 55188 56648 59010 59130 60696 61110 61320 61539 62856 63729 68040 68283 68985 70810 70812 70956 73332 75870 78570 78680 78840 81480 81771 82052 82782 84972 88515 88695 91044 91665 91980 94284 99134 101160 102565 104760 106215 106218 109028 109998 110376 113805 117855 118020 118260 122220 123078 124173 127458 136285 136566 137970 141620 141624 141912 143591 146664 148701 151740 157140 159327 163542 164104 164997 165564 169944 177030 177390 182088 183330 183960 184617 188568 190799 191187 198268 205130 206955 212430 212436 218056 219996 227610 235710 236040 236520 244440 245313 246156 247835 248346 254916 265545 272570 273132 274995 275940 283240 287182 297402 303480 307695 314280 318645 318654 327084 329994 331128 341415 354060 354780 366660 369234 381598 382374 396536 408855 410260 413910 424860 424872 430773 439992 446103 455220 471420 477981 490626 492312 495670 496692 509832 531090 545140 546264 549990 551880 553851 572397 573561 574364 594804 615390 620865 637290 637308 654168 659988 682830 708120 709560 717955 733320 735939 738468 743505 763196 764748 796635 817710 820520 824985 827820 849720 861546 892206 910440 923085 942840 953995 955935 955962 981252 991340 993384 1062180 1090280 1099980 1107702 1144794 1147122 1148728 1189608 1226565 1230780 1241730 1274580 1274616 1292319 1319976 1338309 1365660 1435910 1471878 1476936 1487010 1526392 1529496 1593270 1635420 1649970 1655640 1661553 1717191 1720683 1723092 1784412 1846170 1907990 1911870 1911924 1962504 1982680 1989761 2124360 2153865 2199960 2207817 2215404 2230515 2289588 2294244 2389905 2453130 2461560 2483460 2549160 2584638 2676618 2731320 2769255 2861985 2867805 2871820 2943756 2974020 3186540 3270840 3299940 3323106 3434382 3441366 3446184 3568824 3679695 3692340 3815980 3823740 3823848 3876957 3979522 4014927 4307730 4415634 4430808 4461030 4579176 4588488 4779810 4906260 4966920 4984659 5151573 5169276 5353236 5538510 5723970 5735610 5743640 5887512 5948040 5969283 6373080 6461595 6599880 6623451 6646212 6691545 6868764 6882732 7359390 7384680 7631960 7647480 7753914 7959044 8029854 8307765 8585955 8603415 8615460 8831268 8922060 9559620 9812520 9948805 9969318 10303146 10338552 10706472 11039085 11077020 11447940 11471220 11630871 11938566 12044781 12923190 13246902 13292424 13383090 13737528 13765464 13928327 14718780 15454719 15507828 15918088 16059708 16615530 17171910 17206830 17230920 17662536 17844120 17907849 19119240 19384785 19897610 19938636 20074635 20606292 22078170 22154040 22895880 22942440 23261742 23877132 24089562 24923295 25757865 25846380 26493804 26766180 27856654 29437560 29846415 30909438 31015656 32119416 33117255 33231060 34343820 34413660 34892613 35815698 38769570 39795220 39877272 40149270 41212584 41784981 44156340 46364157 46523484 47754264 48179124 49846590 51515730 51692760 52987608 53532360 53723547 55713308 58154355 59692830 60223905 61818876 66234510 66462120 68687640 68827320 69641635 69785226 71631396 77273595 77539140 79590440 80298540 83569962 88312680 89539245 92728314 93046968 96358248 99693180 103031460 107447094 111426616 116308710 119385660 120447810 123637752 125354943 132469020 139283270 139570452 143262792 154547190 155078280 160597080 161170641 167139924 174463065 179078490 185456628 199386360 206062920 208924905 214894188 231820785 232617420 238771320 240895620 250709886 264938040 268617735 278566540 279140904 309094380 322341282 334279848 348926130 358156980 370913256 376064829 417849810 429788376 463641570 465234840 481791240 483511923 501419772 537235470 557133080 618188760 626774715 644682564 697852260 716313960 752129658 805853205 835699620 927283140 967023846 1002839544 1074470940 1128194487 1253549430 1289365128 1395704520 1504259316 1611706410 1671399240 1854566280 1880324145 1934047692 2148941880 2256388974 2417559615 2507098860 3008518632 3223412820 3384583461 3760648290 3868095384 4512777948 4835119230 5014197720 5640972435 6446825640 6769166922 7521296580 9025555896 9670238460 11281944870 13538333844 15042593160 16922917305 19340476920 22563889740 27076667688 33845834610 45127779480 67691669220 135383338440
- Sum of all divisors σ(n): 535970373120
- Sum of proper divisors (its aliquot sum) s(n): 400587034680
- 135383338440 is an abundant number, because the sum of its proper divisors (400587034680) is greater than itself. Its abundance is 265203696240
Bases of 135383338440
- Binary: 11111100001010111100111001101110010002
- Hexadecimal: 0x1F8579CDC8
- Base-36: 1Q6ZQSI0
Squares and roots of 135383338440
- 135383338440 squared (1353833384402) is 18328648327159581633600
- 135383338440 cubed (1353833384403) is 2481393599623585484190476875584000
-
The
square root of 135383338440 is 367944.7491675891 -
The
cube root of 135383338440 is 5134.7788033549
Scales and comparisons
How big is 135383338440?- 135,383,338,440 seconds is equal to 4,304 years, 40 weeks, 18 hours, 54 minutes.
-
To count from 1 to 135,383,338,440 would take you about eight thousand, six hundred nine 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 135383338440 cubic inches would be around 427.9 feet tall.
Recreational maths with 135383338440
- 135383338440 backwards is 044833383531
- 135383338440 is a
Harshad number . - The number of decimal digits it has is: 12
- The sum of 135383338440's digits is 45
- More coming soon!
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