135306013920
135,306,013,920 is an even composite number composed of eight prime numbers multiplied together.
135306013920 is an even composite number. It is composed of eight distinct prime numbers multiplied together. It has a total of one thousand, one hundred fifty-two divisors.
Prime factorization of 135306013920:
25 × 3 × 5 × 7 × 112 × 47 × 73 × 97
(2 × 2 × 2 × 2 × 2 × 3 × 5 × 7 × 11 × 11 × 47 × 73 × 97)See below for interesting mathematical facts about the number 135306013920 from the Numbermatics database.
Names of 135306013920
- Cardinal: 135306013920 can be written as One hundred thirty-five billion, three hundred six million, thirteen thousand, nine hundred twenty.
Scientific notation
- Scientific notation: 1.3530601392 × 1011
Factors of 135306013920
Divisors of 135306013920
- Number of divisors d(n): 1152
-
Complete list of divisors:
1 2 3 4 5 6 7 8 10 11 12 14 15 16 20 21 22 24 28 30 32 33 35 40 42 44 47 48 55 56 60 66 70 73 77 80 84 88 94 96 97 105 110 112 120 121 132 140 141 146 154 160 165 168 176 188 194 210 219 220 224 231 235 240 242 264 280 282 291 292 308 329 330 336 352 363 365 376 385 388 420 438 440 462 470 480 484 485 511 517 528 560 564 582 584 605 616 658 660 672 679 705 726 730 752 770 776 803 840 847 876 880 924 940 968 970 987 1022 1034 1056 1067 1095 1120 1128 1155 1164 1168 1210 1232 1316 1320 1358 1410 1452 1455 1460 1504 1533 1540 1551 1552 1606 1645 1680 1694 1752 1760 1815 1848 1880 1936 1940 1974 2037 2044 2068 2134 2190 2256 2310 2328 2336 2409 2420 2464 2541 2555 2585 2632 2640 2716 2820 2904 2910 2920 3066 3080 3102 3104 3201 3212 3290 3360 3388 3395 3431 3504 3619 3630 3696 3760 3872 3880 3948 4015 4074 4088 4136 4235 4268 4380 4512 4559 4620 4656 4818 4840 4935 5082 5110 5170 5264 5280 5335 5432 5621 5640 5687 5808 5820 5840 6132 6160 6204 6402 6424 6580 6776 6790 6862 7008 7081 7238 7260 7392 7469 7520 7665 7755 7760 7896 8030 8148 8176 8272 8470 8536 8760 8833 9118 9240 9312 9636 9680 9870 10164 10185 10220 10293 10340 10528 10670 10857 10864 11242 11280 11374 11616 11640 11680 11737 12045 12264 12320 12408 12705 12804 12848 13160 13552 13580 13677 13724 14162 14476 14520 14938 15330 15510 15520 15792 16005 16060 16296 16352 16544 16863 16940 17061 17072 17155 17520 17666 18095 18236 18480 19272 19360 19740 20328 20370 20440 20586 20680 21243 21340 21714 21728 22407 22484 22560 22748 22795 23280 23474 24017 24090 24528 24816 25410 25608 25696 26320 26499 27104 27160 27354 27448 28105 28324 28435 28952 29040 29876 30660 31020 31584 31913 32010 32120 32592 33726 33880 34122 34144 34310 35040 35211 35332 35405 36190 36472 36960 37345 37741 38544 39480 39809 40656 40740 40880 41172 41360 42486 42680 43428 44165 44814 44968 45496 45590 46560 46948 48034 48180 49056 49567 49632 50149 50820 51216 51465 52640 52998 54285 54320 54708 54896 56210 56648 56870 57904 58080 58685 59752 61320 61831 62040 63826 64020 64240 65184 67452 67760 68244 68385 68620 70422 70664 70810 72051 72380 72944 74690 75482 77088 77891 78960 79618 81312 81480 81760 82159 82344 82720 84315 84972 85305 85360 86856 88330 89628 89936 90992 91180 93896 95739 96068 96360 99134 100298 101640 102432 102930 105996 106215 108570 108640 109416 109792 112035 112420 113223 113296 113740 115808 117370 119427 119504 120085 122640 123662 124080 127652 128040 128480 132495 134904 135520 136488 136770 137240 140844 141328 141620 144102 144760 145888 148701 149380 150447 150964 155782 157920 159236 159565 162960 164318 164688 168630 169944 170610 170720 173712 176055 176660 179256 179872 181984 182360 185493 187792 188705 191478 192136 192720 198268 199045 200596 203280 205860 211992 212430 217140 218832 224070 224840 226446 226592 227480 233673 234740 238854 239008 240170 245280 246477 247324 247835 248160 250745 255304 256080 264187 264990 269808 272976 273540 274480 281688 282656 283240 288204 289520 297402 298760 300894 301928 309155 311564 318472 319130 325920 328636 329376 332807 337260 339888 341220 347424 351043 352110 353320 358512 360255 364720 370986 375584 377410 382956 384272 385440 389455 396536 398090 401192 406560 410795 411720 415151 423984 424860 434280 437664 448140 449680 452892 454960 467346 469480 477708 478695 480340 492954 494648 495670 501490 510608 512160 528374 529980 539616 545237 545952 547080 548960 551639 563376 566115 566480 576408 579040 594804 597135 597520 601788 603856 618310 623128 636944 638260 657272 665614 674520 679776 682440 702086 704220 706640 717024 720510 729440 741972 743505 752235 754820 765912 768544 778910 792561 793072 796180 802384 821590 823440 830302 847968 849720 856801 868560 896280 899360 905784 909920 927465 934692 938960 955416 957390 960680 985908 989296 991340 998421 1002980 1021216 1053129 1056748 1059960 1090474 1094160 1103278 1126752 1132230 1132960 1152816 1168365 1189608 1194270 1195040 1203576 1207712 1232385 1236620 1245453 1246256 1273888 1276520 1314544 1320935 1331228 1349040 1364880 1404172 1408440 1413280 1441020 1483944 1487010 1504470 1509640 1531824 1557820 1585122 1586144 1592360 1604768 1635711 1643180 1646880 1654917 1660604 1664035 1699440 1713602 1737120 1755215 1792560 1811568 1854930 1869384 1877920 1910832 1914780 1921360 1971816 1978592 1982680 1996842 2005960 2075755 2106258 2113496 2119920 2180948 2188320 2206556 2264460 2305632 2329649 2336730 2379216 2388540 2407152 2464770 2473240 2490906 2492512 2553040 2570403 2629088 2641870 2662456 2698080 2726185 2729760 2758195 2808344 2816880 2882040 2906057 2967888 2974020 3008940 3019280 3063648 3115640 3170244 3184720 3271422 3286360 3309834 3321208 3328070 3398880 3427204 3510430 3585120 3623136 3660877 3709860 3738768 3821664 3829560 3842720 3861473 3943632 3962805 3965360 3993684 4011920 4151510 4212516 4226992 4239840 4284005 4361896 4413112 4528920 4659298 4673460 4758432 4777080 4814304 4929540 4946480 4981812 4992105 5106080 5140806 5265645 5283740 5324912 5452370 5516390 5616688 5633760 5764080 5812114 5935776 5948040 5997607 6017880 6038560 6227265 6231280 6340488 6369440 6542844 6572720 6619668 6642416 6656140 6854408 6988947 7020860 7321754 7419720 7477536 7659120 7722946 7887264 7925610 7930720 7987368 8023840 8178555 8274585 8303020 8425032 8453984 8568010 8718171 8723792 8826224 9057840 9318596 9346920 9554160 9859080 9892960 9963624 9984210 10281612 10531290 10567480 10649824 10904740 10982631 11032780 11233376 11528160 11584419 11624228 11648245 11896080 11995214 12035760 12454530 12462560 12680976 12852015 13085688 13145440 13239336 13284832 13312280 13708816 13977894 14041720 14530285 14643508 14839440 15318240 15445892 15851220 15974736 16357110 16549170 16606040 16850064 17136020 17436342 17447584 17652448 17992821 18115680 18304385 18637192 18693840 19108320 19307365 19718160 19927248 19968420 20563224 21062580 21134960 21809480 21965262 22065560 23168838 23248456 23296490 23792160 23990428 24071520 24909060 25361952 25626139 25704030 26171376 26478672 26624560 27417632 27955788 28083440 29060570 29287016 29678880 29988035 30891784 31702440 31949472 32714220 33098340 33212080 33700128 34272040 34872684 34944735 35985642 36608770 37274384 37387680 38614730 39436320 39854496 39936840 40269647 41126448 42125160 42269920 43590855 43618960 43930524 44131120 46337676 46496912 46592980 47980856 49818120 51252278 51408060 52342752 52957344 53249120 54913155 55911576 56166880 57922095 58121140 58574032 59976070 61783568 63404880 65428440 66196680 66424160 68544080 69745368 69889470 71971284 73217540 74548768 76878417 77229460 79873680 80539294 82252896 84250320 87181710 87237920 87861048 88262240 89964105 92675352 92993824 93185960 95961712 99636240 102504556 102816120 109826310 111823152 115844190 116242280 117148064 119952140 120808941 123567136 126809760 128130695 130856880 132393360 137088160 139490736 139778940 143942568 146435080 153756834 154458920 159747360 161078588 168500640 174363420 175722096 179928210 185350704 186371920 191923424 199272480 201348235 205009112 205632240 219652620 223646304 231688380 232484560 239904280 241617882 256261390 261713760 264786720 278981472 279557880 281887529 287885136 292870160 307513668 308917840 322157176 348726840 351444192 359856420 370701408 372743840 384392085 402696470 410018224 411264480 439305240 463376760 464969120 479808560 483235764 512522780 559115760 563775058 575770272 585740320 604044705 615027336 617835680 644314352 697453680 719712840 768784170 805392940 820036448 845662587 878610480 926753520 959617120 966471528 1025045560 1118231520 1127550116 1208089410 1230054672 1288628704 1394907360 1409437645 1439425680 1537568340 1610785880 1691325174 1757220960 1853507040 1932943056 2050091120 2255100232 2416178820 2460109344 2818875290 2878851360 3075136680 3221571760 3382650348 3865886112 4100182240 4228312935 4510200464 4832357640 5637750580 6150273360 6443143520 6765300696 8456625870 9020400928 9664715280 11275501160 12300546720 13530601392 16913251740 19329430560 22551002320 27061202784 33826503480 45102004640 67653006960 135306013920
- Sum of all divisors σ(n): 560005705728
- Sum of proper divisors (its aliquot sum) s(n): 424699691808
- 135306013920 is an abundant number, because the sum of its proper divisors (424699691808) is greater than itself. Its abundance is 289393677888
Bases of 135306013920
- Binary: 11111100000001101110111101100111000002
- Hexadecimal: 0x1F80DDECE0
- Base-36: 1Q5PPGIO
Squares and roots of 135306013920
- 135306013920 squared (1353060139202) is 18307717402919233766400
- 135306013920 cubed (1353060139203) is 2477144265762816092632252428288000
-
The
square root of 135306013920 is 367839.6578945777 -
The
cube root of 135306013920 is 5133.8010367509
Scales and comparisons
How big is 135306013920?- 135,306,013,920 seconds is equal to 4,302 years, 16 weeks, 1 day, 19 hours, 52 minutes.
-
To count from 1 to 135,306,013,920 would take you about eight thousand, six hundred four 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 135306013920 cubic inches would be around 427.8 feet tall.
Recreational maths with 135306013920
- 135306013920 backwards is 029310603531
- 135306013920 is a
Harshad number . - The number of decimal digits it has is: 12
- The sum of 135306013920's digits is 33
- More coming soon!
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The information we have on file for 135306013920 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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